Splitting an edge into two parts in a probabilistic automaton

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
7
down vote

favorite
1












I am currently trying to split an edge in an automaton in tikz. What I already have is this: enter image description here



I would like to get somethink like this (not in red, just to highlight): enter image description here
The idea is to have a probabilistic automaton. If the automaton gets the input D, it changes with probability 2/3 to state q1 and with probability 1/3 it remains in state q3. That it why I would like to have one outgoing edge from q3 with input D, the edge should split after a while as you can see in the picture. How can I achieve that?



Here is my code (I needed some if the other tikzlibraries for other parts of my original code, so don't get confused):



documentclass[a4paper, 12pt, parskip=half+]scrreprt
usepackage[utf8]inputenc
usepackagetikz
usepackagepgffor
usetikzlibraryautomata,shapes.multipart % Import library for 
 drawing automata
usetikzlibrarycalc, trees %For graphics
usetikzlibrarypositioning % ...positioning nodes
usetikzlibraryarrows,shapes % ...customizing arrows
usetikzlibrarypatterns,decorations.pathreplacing
tikzsetnode distance=2.5cm, %Minimum distance between nodes
 every state/.style=minimum size=0pt, fill=gray!10, circle split, 
 align=center, %properties for each state
 initial text=, %No label on start state
 final/.style=accepting,
 every picture/.style=>=stealth',
 brace/.style=decorate,decoration=brace, semithick

begindocument
beginfigure
 centering
 begintikzpicture[node distance=1.5cm, ,shorten >=1pt,%Minimum 
 distance between nodes
 every state/.style=minimum size=0pt, inner sep=1pt, 
 fill=gray!10, circle, align=center, %properties for each state
 initial text=, %No label on start arrow
 final/.style=accepting,
 every picture/.style=>=stealth',
 brace/.style=decorate,decoration=brace, semithick,
 every loop/.style=min distance=5mm,looseness=5]
 node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
 node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
 node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
 draw[->] (q1) to[loop above] node [above] textttC (q1);
 draw[->] (q1) edge node [above] textttD (q2);
 draw[->] (q2) edge node [above] textttD (q3);
 draw[->] (q3) to[loop above] node [above] textttC (q3); 
 endtikzpicture
endfigure
enddocument


Sorry, I just realised that the state I meant was named q2 in the picture. I'm sorry for that. I mean the state named q3 in the code if it was not clear (I changed it in the code). I am thankful for any help I get. You can also find nice examples of what I would like to get in this articles (page 4, figures 2 and 3)






tikz-pgf tikz-arrows automata







share|improve this question



























    up vote
    7
    down vote

    favorite
    1












    I am currently trying to split an edge in an automaton in tikz. What I already have is this: enter image description here



    I would like to get somethink like this (not in red, just to highlight): enter image description here
    The idea is to have a probabilistic automaton. If the automaton gets the input D, it changes with probability 2/3 to state q1 and with probability 1/3 it remains in state q3. That it why I would like to have one outgoing edge from q3 with input D, the edge should split after a while as you can see in the picture. How can I achieve that?



    Here is my code (I needed some if the other tikzlibraries for other parts of my original code, so don't get confused):



    documentclass[a4paper, 12pt, parskip=half+]scrreprt
    usepackage[utf8]inputenc
    usepackagetikz
    usepackagepgffor
    usetikzlibraryautomata,shapes.multipart % Import library for 
     drawing automata
    usetikzlibrarycalc, trees %For graphics
    usetikzlibrarypositioning % ...positioning nodes
    usetikzlibraryarrows,shapes % ...customizing arrows
    usetikzlibrarypatterns,decorations.pathreplacing
    tikzsetnode distance=2.5cm, %Minimum distance between nodes
     every state/.style=minimum size=0pt, fill=gray!10, circle split, 
     align=center, %properties for each state
     initial text=, %No label on start state
     final/.style=accepting,
     every picture/.style=>=stealth',
     brace/.style=decorate,decoration=brace, semithick

    begindocument
    beginfigure
     centering
     begintikzpicture[node distance=1.5cm, ,shorten >=1pt,%Minimum 
     distance between nodes
     every state/.style=minimum size=0pt, inner sep=1pt, 
     fill=gray!10, circle, align=center, %properties for each state
     initial text=, %No label on start arrow
     final/.style=accepting,
     every picture/.style=>=stealth',
     brace/.style=decorate,decoration=brace, semithick,
     every loop/.style=min distance=5mm,looseness=5]
     node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
     node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
     node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
     draw[->] (q1) to[loop above] node [above] textttC (q1);
     draw[->] (q1) edge node [above] textttD (q2);
     draw[->] (q2) edge node [above] textttD (q3);
     draw[->] (q3) to[loop above] node [above] textttC (q3); 
     endtikzpicture
    endfigure
    enddocument


    Sorry, I just realised that the state I meant was named q2 in the picture. I'm sorry for that. I mean the state named q3 in the code if it was not clear (I changed it in the code). I am thankful for any help I get. You can also find nice examples of what I would like to get in this articles (page 4, figures 2 and 3)






    tikz-pgf tikz-arrows automata







    share|improve this question

























      up vote
      7
      down vote

      favorite
      1









      up vote
      7
      down vote

      favorite
      1






      1





      I am currently trying to split an edge in an automaton in tikz. What I already have is this: enter image description here



      I would like to get somethink like this (not in red, just to highlight): enter image description here
      The idea is to have a probabilistic automaton. If the automaton gets the input D, it changes with probability 2/3 to state q1 and with probability 1/3 it remains in state q3. That it why I would like to have one outgoing edge from q3 with input D, the edge should split after a while as you can see in the picture. How can I achieve that?



      Here is my code (I needed some if the other tikzlibraries for other parts of my original code, so don't get confused):



      documentclass[a4paper, 12pt, parskip=half+]scrreprt
      usepackage[utf8]inputenc
      usepackagetikz
      usepackagepgffor
      usetikzlibraryautomata,shapes.multipart % Import library for 
       drawing automata
      usetikzlibrarycalc, trees %For graphics
      usetikzlibrarypositioning % ...positioning nodes
      usetikzlibraryarrows,shapes % ...customizing arrows
      usetikzlibrarypatterns,decorations.pathreplacing
      tikzsetnode distance=2.5cm, %Minimum distance between nodes
       every state/.style=minimum size=0pt, fill=gray!10, circle split, 
       align=center, %properties for each state
       initial text=, %No label on start state
       final/.style=accepting,
       every picture/.style=>=stealth',
       brace/.style=decorate,decoration=brace, semithick

      begindocument
      beginfigure
       centering
       begintikzpicture[node distance=1.5cm, ,shorten >=1pt,%Minimum 
       distance between nodes
       every state/.style=minimum size=0pt, inner sep=1pt, 
       fill=gray!10, circle, align=center, %properties for each state
       initial text=, %No label on start arrow
       final/.style=accepting,
       every picture/.style=>=stealth',
       brace/.style=decorate,decoration=brace, semithick,
       every loop/.style=min distance=5mm,looseness=5]
       node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
       node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
       node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
       draw[->] (q1) to[loop above] node [above] textttC (q1);
       draw[->] (q1) edge node [above] textttD (q2);
       draw[->] (q2) edge node [above] textttD (q3);
       draw[->] (q3) to[loop above] node [above] textttC (q3); 
       endtikzpicture
      endfigure
      enddocument


      Sorry, I just realised that the state I meant was named q2 in the picture. I'm sorry for that. I mean the state named q3 in the code if it was not clear (I changed it in the code). I am thankful for any help I get. You can also find nice examples of what I would like to get in this articles (page 4, figures 2 and 3)






      tikz-pgf tikz-arrows automata







      share|improve this question















      I am currently trying to split an edge in an automaton in tikz. What I already have is this: enter image description here



      I would like to get somethink like this (not in red, just to highlight): enter image description here
      The idea is to have a probabilistic automaton. If the automaton gets the input D, it changes with probability 2/3 to state q1 and with probability 1/3 it remains in state q3. That it why I would like to have one outgoing edge from q3 with input D, the edge should split after a while as you can see in the picture. How can I achieve that?



      Here is my code (I needed some if the other tikzlibraries for other parts of my original code, so don't get confused):



      documentclass[a4paper, 12pt, parskip=half+]scrreprt
      usepackage[utf8]inputenc
      usepackagetikz
      usepackagepgffor
      usetikzlibraryautomata,shapes.multipart % Import library for 
       drawing automata
      usetikzlibrarycalc, trees %For graphics
      usetikzlibrarypositioning % ...positioning nodes
      usetikzlibraryarrows,shapes % ...customizing arrows
      usetikzlibrarypatterns,decorations.pathreplacing
      tikzsetnode distance=2.5cm, %Minimum distance between nodes
       every state/.style=minimum size=0pt, fill=gray!10, circle split, 
       align=center, %properties for each state
       initial text=, %No label on start state
       final/.style=accepting,
       every picture/.style=>=stealth',
       brace/.style=decorate,decoration=brace, semithick

      begindocument
      beginfigure
       centering
       begintikzpicture[node distance=1.5cm, ,shorten >=1pt,%Minimum 
       distance between nodes
       every state/.style=minimum size=0pt, inner sep=1pt, 
       fill=gray!10, circle, align=center, %properties for each state
       initial text=, %No label on start arrow
       final/.style=accepting,
       every picture/.style=>=stealth',
       brace/.style=decorate,decoration=brace, semithick,
       every loop/.style=min distance=5mm,looseness=5]
       node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
       node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
       node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
       draw[->] (q1) to[loop above] node [above] textttC (q1);
       draw[->] (q1) edge node [above] textttD (q2);
       draw[->] (q2) edge node [above] textttD (q3);
       draw[->] (q3) to[loop above] node [above] textttC (q3); 
       endtikzpicture
      endfigure
      enddocument


      Sorry, I just realised that the state I meant was named q2 in the picture. I'm sorry for that. I mean the state named q3 in the code if it was not clear (I changed it in the code). I am thankful for any help I get. You can also find nice examples of what I would like to get in this articles (page 4, figures 2 and 3)






      tikz-pgf tikz-arrows automata




      tikz-pgf tikz-arrows automata






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited 4 hours ago

























      asked 4 hours ago









      Unicorn

      1476




      1476




















          2 Answers
          2






          active

          oldest

          votes

















          up vote
          5
          down vote



          accepted










          It is rather easy to do that with decorations.markings. Below the same thing is achieved by a style.



          documentclass[a4paper, 12pt, parskip=half+]scrreprt
          usepackage[utf8]inputenc
          usepackagetikz
          usepackagepgffor
          usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
          usetikzlibrarycalc, trees %For graphics
          usetikzlibrarypositioning % ...positioning nodes
          usetikzlibraryarrows,shapes % ...customizing arrows
          usetikzlibrarypatterns,decorations.pathreplacing,decorations.markings
          tikzsetnode distance=2.5cm, %Minimum distance between nodes
           every state/.style=minimum size=0pt, fill=gray!10, circle split, 
           align=center, %properties for each state
           initial text=, %No label on start state
           final/.style=accepting,
           every picture/.style=>=stealth',
           brace/.style=decorate,decoration=brace, semithick

          begindocument
          beginfigure
           centering
           begintikzpicture[node distance=1.5cm, ,shorten >=1pt,%Minimum 
           distance between nodes
           every state/.style=minimum size=0pt, inner sep=1pt, 
           fill=gray!10, circle, align=center, %properties for each state
           initial text=, %No label on start arrow
           final/.style=accepting,
           every picture/.style=>=stealth',
           brace/.style=decorate,decoration=brace, semithick,
           every loop/.style=min distance=5mm,looseness=5]
           node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
           node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
           node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
           draw[->] (q1) to[loop above] node [above] textttC (q1);
           draw[->] (q1) edge node [above] textttD (q2);
           draw[->] (q2) edge node [above] textttD (q3);
           draw[->] (q3) to[loop above] node [above] textttC (q3); 
           draw[->,postaction=decorate,decoration=markings,
           mark=at position 0.25 with draw[->] (0pt,0pt) to[bend left] 
           coordinate[midway](aux) (q3);
           pgftransformreset
           node[above=2pt of aux]$1/3$;] (q3) to[out=135,in=45] 
           node[midway,above]$2/3$ (q1);
           endtikzpicture
          endfigure
          enddocument


          enter image description here



          Here is the same thing with a style



          split connection=at <pos of splitting point> with ratio <label> to <additional target>


          and an example in the code



          documentclass[a4paper, 12pt, parskip=half+]scrreprt
          usepackage[utf8]inputenc
          usepackagetikz
          usepackagepgffor
          usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
          usetikzlibrarycalc, trees %For graphics
          usetikzlibrarypositioning % ...positioning nodes
          usetikzlibraryarrows,shapes % ...customizing arrows
          usetikzlibrarypatterns,decorations.pathreplacing,decorations.markings
          tikzsetnode distance=2.5cm, %Minimum distance between nodes
           every state/.style=minimum size=0pt, fill=gray!10, circle split, 
           align=center, %properties for each state
           initial text=, %No label on start state
           final/.style=accepting,
           every picture/.style=>=stealth',
           brace/.style=decorate,decoration=brace, semithick

          begindocument
          beginfigure
           centering
           begintikzpicture[node distance=1.5cm, shorten >=1pt,%Minimum 
           distance between nodes
           every state/.style=minimum size=0pt, inner sep=1pt, 
           fill=gray!10, circle, align=center, %properties for each state
           initial text=, %No label on start arrow
           final/.style=accepting,
           every picture/.style=>=stealth',
           brace/.style=decorate,decoration=brace, semithick,
           every loop/.style=min distance=5mm,looseness=5,
           split connection/.style args=at #1 with ratio #2 to #3postaction=decorate,decoration=markings,
           mark=at position #1 with draw[->] (0pt,0pt) to[bend left] 
           coordinate[midway](aux) (#3);
           pgftransformreset
           node[above=2pt of aux]$#2$;
           ]
           node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
           node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
           node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
           draw[->] (q1) to[loop above] node [above] textttC (q1);
           draw[->] (q1) edge node [above] textttD (q2);
           draw[->] (q2) edge node [above] textttD (q3);
           draw[->] (q3) to[loop above] node [above] textttC (q3); 
           draw[->,split connection=at 0.25 with ratio $1/3$ to q3] (q3) to[out=135,in=45] 
           node[midway,above]$2/3$ node[midway,below]textttD (q1);
           endtikzpicture
          endfigure
          enddocument


          enter image description here






          share|improve this answer






















          • Wow, that looks nice! Thank you so much. Do you also know how to add the label "D" at that part of the edge where there was still only one edge (the lower part of the edge)?
            – Unicorn
            2 hours ago






          • 1




            @Unicorn Sure, just replace node[midway,below]textttD by node[pos=0.125,below]textttD. One could also make this part of the style, but the style would then become a bit bulky because it would have tons of parameters. If you tell me which version (style or no style) you like better, I could clean up.
            – marmot
            2 hours ago


















          up vote
          5
          down vote













          An option using ..controls +(direction:module) and +(direction:module).. line because nodes in a path node[pos=0_to_1_value] does not work for bend or to[in.., out], using nodes in a path allows to put a node in ceirtain positions in this case at 0.12 for the D label using node[pos=0.12,below]... for the 2/3 label node[pos=0.8]... and to split the arrow an empty node node[pos=0.25](temp), temp is the node_name, and then drawing an arrow from temp.center to (q3) usign controls again to put a node in a path with the label 1/3...



          RESULT:



          enter image description here



          MWE:



          documentclass[tikz,border=15pt]standalone
          usepackage[utf8]inputenc
          usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
          usetikzlibrarycalc, trees %For graphics
          usetikzlibrarypositioning % ...positioning nodes
          usetikzlibraryarrows.meta,shapes % ...customizing arrows
          usetikzlibrarypatterns,decorations.pathreplacing
          %Fonts MAnagement
          usepackage[scaled]helvet % For Sans Family
          usepackagesansmath
          sansmath 

          begindocument
           begintikzpicture[
           %Environment Config
           node distance=1.5cm,
           shorten >=1pt,%Minimum distance between nodes
           semithick,
           font=sffamily,
           >=Stealth,
           %Environment Styles
           every state/.style=
           minimum size=0pt,
           inner sep=1pt,
           fill=gray!10,
           circle,
           align=center
           , %properties for each state
           initial text=, %No label on start arrow
           final/.style=accepting,
           brace/.style=
           decorate,
           decoration=brace
           , 
           every loop/.style=
           min distance=5mm,
           looseness=5
           ]
           node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
           node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
           node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
           draw[->] (q1) to[loop above] node [above] textttC (q1);
           draw[->] (q1) edge node [above] D (q2);
           draw[->] (q2) edge node [above] D (q3);
           draw[->] (q3) to[loop above] node [above] textttC (q3);
           draw[->] (q3) .. controls +(140:2.5) and +(40:2.5) .. (q1)
           node[pos=0.12,below]D
           node[pos=0.8,above]scriptsize $2/3$
           node[pos=0.25](temp);
           draw[->] (temp.center) .. controls +(15:1) and +(120:1) .. (q3) node[pos=0.5,above]scriptsize $1/3$;
           endtikzpicture
          enddocument





          share|improve this answer






















            Your Answer







            StackExchange.ready(function()
            var channelOptions =
            tags: "".split(" "),
            id: "85"
            ;
            initTagRenderer("".split(" "), "".split(" "), channelOptions);

            StackExchange.using("externalEditor", function()
            // Have to fire editor after snippets, if snippets enabled
            if (StackExchange.settings.snippets.snippetsEnabled)
            StackExchange.using("snippets", function()
            createEditor();
            );

            else
            createEditor();

            );

            function createEditor()
            StackExchange.prepareEditor(
            heartbeatType: 'answer',
            convertImagesToLinks: false,
            noModals: false,
            showLowRepImageUploadWarning: true,
            reputationToPostImages: null,
            bindNavPrevention: true,
            postfix: "",
            onDemand: true,
            discardSelector: ".discard-answer"
            ,immediatelyShowMarkdownHelp:true
            );



            );













             

            draft saved


            draft discarded


















            StackExchange.ready(
            function ()
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f450717%2fsplitting-an-edge-into-two-parts-in-a-probabilistic-automaton%23new-answer', 'question_page');

            );

            Post as a guest

















            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes








            up vote
            5
            down vote



            accepted










            It is rather easy to do that with decorations.markings. Below the same thing is achieved by a style.



            documentclass[a4paper, 12pt, parskip=half+]scrreprt
            usepackage[utf8]inputenc
            usepackagetikz
            usepackagepgffor
            usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
            usetikzlibrarycalc, trees %For graphics
            usetikzlibrarypositioning % ...positioning nodes
            usetikzlibraryarrows,shapes % ...customizing arrows
            usetikzlibrarypatterns,decorations.pathreplacing,decorations.markings
            tikzsetnode distance=2.5cm, %Minimum distance between nodes
             every state/.style=minimum size=0pt, fill=gray!10, circle split, 
             align=center, %properties for each state
             initial text=, %No label on start state
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick

            begindocument
            beginfigure
             centering
             begintikzpicture[node distance=1.5cm, ,shorten >=1pt,%Minimum 
             distance between nodes
             every state/.style=minimum size=0pt, inner sep=1pt, 
             fill=gray!10, circle, align=center, %properties for each state
             initial text=, %No label on start arrow
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick,
             every loop/.style=min distance=5mm,looseness=5]
             node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
             node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
             node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
             draw[->] (q1) to[loop above] node [above] textttC (q1);
             draw[->] (q1) edge node [above] textttD (q2);
             draw[->] (q2) edge node [above] textttD (q3);
             draw[->] (q3) to[loop above] node [above] textttC (q3); 
             draw[->,postaction=decorate,decoration=markings,
             mark=at position 0.25 with draw[->] (0pt,0pt) to[bend left] 
             coordinate[midway](aux) (q3);
             pgftransformreset
             node[above=2pt of aux]$1/3$;] (q3) to[out=135,in=45] 
             node[midway,above]$2/3$ (q1);
             endtikzpicture
            endfigure
            enddocument


            enter image description here



            Here is the same thing with a style



            split connection=at <pos of splitting point> with ratio <label> to <additional target>


            and an example in the code



            documentclass[a4paper, 12pt, parskip=half+]scrreprt
            usepackage[utf8]inputenc
            usepackagetikz
            usepackagepgffor
            usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
            usetikzlibrarycalc, trees %For graphics
            usetikzlibrarypositioning % ...positioning nodes
            usetikzlibraryarrows,shapes % ...customizing arrows
            usetikzlibrarypatterns,decorations.pathreplacing,decorations.markings
            tikzsetnode distance=2.5cm, %Minimum distance between nodes
             every state/.style=minimum size=0pt, fill=gray!10, circle split, 
             align=center, %properties for each state
             initial text=, %No label on start state
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick

            begindocument
            beginfigure
             centering
             begintikzpicture[node distance=1.5cm, shorten >=1pt,%Minimum 
             distance between nodes
             every state/.style=minimum size=0pt, inner sep=1pt, 
             fill=gray!10, circle, align=center, %properties for each state
             initial text=, %No label on start arrow
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick,
             every loop/.style=min distance=5mm,looseness=5,
             split connection/.style args=at #1 with ratio #2 to #3postaction=decorate,decoration=markings,
             mark=at position #1 with draw[->] (0pt,0pt) to[bend left] 
             coordinate[midway](aux) (#3);
             pgftransformreset
             node[above=2pt of aux]$#2$;
             ]
             node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
             node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
             node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
             draw[->] (q1) to[loop above] node [above] textttC (q1);
             draw[->] (q1) edge node [above] textttD (q2);
             draw[->] (q2) edge node [above] textttD (q3);
             draw[->] (q3) to[loop above] node [above] textttC (q3); 
             draw[->,split connection=at 0.25 with ratio $1/3$ to q3] (q3) to[out=135,in=45] 
             node[midway,above]$2/3$ node[midway,below]textttD (q1);
             endtikzpicture
            endfigure
            enddocument


            enter image description here






            share|improve this answer






















            • Wow, that looks nice! Thank you so much. Do you also know how to add the label "D" at that part of the edge where there was still only one edge (the lower part of the edge)?
              – Unicorn
              2 hours ago






            • 1




              @Unicorn Sure, just replace node[midway,below]textttD by node[pos=0.125,below]textttD. One could also make this part of the style, but the style would then become a bit bulky because it would have tons of parameters. If you tell me which version (style or no style) you like better, I could clean up.
              – marmot
              2 hours ago















            up vote
            5
            down vote



            accepted










            It is rather easy to do that with decorations.markings. Below the same thing is achieved by a style.



            documentclass[a4paper, 12pt, parskip=half+]scrreprt
            usepackage[utf8]inputenc
            usepackagetikz
            usepackagepgffor
            usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
            usetikzlibrarycalc, trees %For graphics
            usetikzlibrarypositioning % ...positioning nodes
            usetikzlibraryarrows,shapes % ...customizing arrows
            usetikzlibrarypatterns,decorations.pathreplacing,decorations.markings
            tikzsetnode distance=2.5cm, %Minimum distance between nodes
             every state/.style=minimum size=0pt, fill=gray!10, circle split, 
             align=center, %properties for each state
             initial text=, %No label on start state
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick

            begindocument
            beginfigure
             centering
             begintikzpicture[node distance=1.5cm, ,shorten >=1pt,%Minimum 
             distance between nodes
             every state/.style=minimum size=0pt, inner sep=1pt, 
             fill=gray!10, circle, align=center, %properties for each state
             initial text=, %No label on start arrow
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick,
             every loop/.style=min distance=5mm,looseness=5]
             node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
             node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
             node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
             draw[->] (q1) to[loop above] node [above] textttC (q1);
             draw[->] (q1) edge node [above] textttD (q2);
             draw[->] (q2) edge node [above] textttD (q3);
             draw[->] (q3) to[loop above] node [above] textttC (q3); 
             draw[->,postaction=decorate,decoration=markings,
             mark=at position 0.25 with draw[->] (0pt,0pt) to[bend left] 
             coordinate[midway](aux) (q3);
             pgftransformreset
             node[above=2pt of aux]$1/3$;] (q3) to[out=135,in=45] 
             node[midway,above]$2/3$ (q1);
             endtikzpicture
            endfigure
            enddocument


            enter image description here



            Here is the same thing with a style



            split connection=at <pos of splitting point> with ratio <label> to <additional target>


            and an example in the code



            documentclass[a4paper, 12pt, parskip=half+]scrreprt
            usepackage[utf8]inputenc
            usepackagetikz
            usepackagepgffor
            usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
            usetikzlibrarycalc, trees %For graphics
            usetikzlibrarypositioning % ...positioning nodes
            usetikzlibraryarrows,shapes % ...customizing arrows
            usetikzlibrarypatterns,decorations.pathreplacing,decorations.markings
            tikzsetnode distance=2.5cm, %Minimum distance between nodes
             every state/.style=minimum size=0pt, fill=gray!10, circle split, 
             align=center, %properties for each state
             initial text=, %No label on start state
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick

            begindocument
            beginfigure
             centering
             begintikzpicture[node distance=1.5cm, shorten >=1pt,%Minimum 
             distance between nodes
             every state/.style=minimum size=0pt, inner sep=1pt, 
             fill=gray!10, circle, align=center, %properties for each state
             initial text=, %No label on start arrow
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick,
             every loop/.style=min distance=5mm,looseness=5,
             split connection/.style args=at #1 with ratio #2 to #3postaction=decorate,decoration=markings,
             mark=at position #1 with draw[->] (0pt,0pt) to[bend left] 
             coordinate[midway](aux) (#3);
             pgftransformreset
             node[above=2pt of aux]$#2$;
             ]
             node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
             node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
             node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
             draw[->] (q1) to[loop above] node [above] textttC (q1);
             draw[->] (q1) edge node [above] textttD (q2);
             draw[->] (q2) edge node [above] textttD (q3);
             draw[->] (q3) to[loop above] node [above] textttC (q3); 
             draw[->,split connection=at 0.25 with ratio $1/3$ to q3] (q3) to[out=135,in=45] 
             node[midway,above]$2/3$ node[midway,below]textttD (q1);
             endtikzpicture
            endfigure
            enddocument


            enter image description here






            share|improve this answer






















            • Wow, that looks nice! Thank you so much. Do you also know how to add the label "D" at that part of the edge where there was still only one edge (the lower part of the edge)?
              – Unicorn
              2 hours ago






            • 1




              @Unicorn Sure, just replace node[midway,below]textttD by node[pos=0.125,below]textttD. One could also make this part of the style, but the style would then become a bit bulky because it would have tons of parameters. If you tell me which version (style or no style) you like better, I could clean up.
              – marmot
              2 hours ago













            up vote
            5
            down vote



            accepted







            up vote
            5
            down vote



            accepted






            It is rather easy to do that with decorations.markings. Below the same thing is achieved by a style.



            documentclass[a4paper, 12pt, parskip=half+]scrreprt
            usepackage[utf8]inputenc
            usepackagetikz
            usepackagepgffor
            usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
            usetikzlibrarycalc, trees %For graphics
            usetikzlibrarypositioning % ...positioning nodes
            usetikzlibraryarrows,shapes % ...customizing arrows
            usetikzlibrarypatterns,decorations.pathreplacing,decorations.markings
            tikzsetnode distance=2.5cm, %Minimum distance between nodes
             every state/.style=minimum size=0pt, fill=gray!10, circle split, 
             align=center, %properties for each state
             initial text=, %No label on start state
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick

            begindocument
            beginfigure
             centering
             begintikzpicture[node distance=1.5cm, ,shorten >=1pt,%Minimum 
             distance between nodes
             every state/.style=minimum size=0pt, inner sep=1pt, 
             fill=gray!10, circle, align=center, %properties for each state
             initial text=, %No label on start arrow
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick,
             every loop/.style=min distance=5mm,looseness=5]
             node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
             node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
             node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
             draw[->] (q1) to[loop above] node [above] textttC (q1);
             draw[->] (q1) edge node [above] textttD (q2);
             draw[->] (q2) edge node [above] textttD (q3);
             draw[->] (q3) to[loop above] node [above] textttC (q3); 
             draw[->,postaction=decorate,decoration=markings,
             mark=at position 0.25 with draw[->] (0pt,0pt) to[bend left] 
             coordinate[midway](aux) (q3);
             pgftransformreset
             node[above=2pt of aux]$1/3$;] (q3) to[out=135,in=45] 
             node[midway,above]$2/3$ (q1);
             endtikzpicture
            endfigure
            enddocument


            enter image description here



            Here is the same thing with a style



            split connection=at <pos of splitting point> with ratio <label> to <additional target>


            and an example in the code



            documentclass[a4paper, 12pt, parskip=half+]scrreprt
            usepackage[utf8]inputenc
            usepackagetikz
            usepackagepgffor
            usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
            usetikzlibrarycalc, trees %For graphics
            usetikzlibrarypositioning % ...positioning nodes
            usetikzlibraryarrows,shapes % ...customizing arrows
            usetikzlibrarypatterns,decorations.pathreplacing,decorations.markings
            tikzsetnode distance=2.5cm, %Minimum distance between nodes
             every state/.style=minimum size=0pt, fill=gray!10, circle split, 
             align=center, %properties for each state
             initial text=, %No label on start state
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick

            begindocument
            beginfigure
             centering
             begintikzpicture[node distance=1.5cm, shorten >=1pt,%Minimum 
             distance between nodes
             every state/.style=minimum size=0pt, inner sep=1pt, 
             fill=gray!10, circle, align=center, %properties for each state
             initial text=, %No label on start arrow
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick,
             every loop/.style=min distance=5mm,looseness=5,
             split connection/.style args=at #1 with ratio #2 to #3postaction=decorate,decoration=markings,
             mark=at position #1 with draw[->] (0pt,0pt) to[bend left] 
             coordinate[midway](aux) (#3);
             pgftransformreset
             node[above=2pt of aux]$#2$;
             ]
             node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
             node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
             node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
             draw[->] (q1) to[loop above] node [above] textttC (q1);
             draw[->] (q1) edge node [above] textttD (q2);
             draw[->] (q2) edge node [above] textttD (q3);
             draw[->] (q3) to[loop above] node [above] textttC (q3); 
             draw[->,split connection=at 0.25 with ratio $1/3$ to q3] (q3) to[out=135,in=45] 
             node[midway,above]$2/3$ node[midway,below]textttD (q1);
             endtikzpicture
            endfigure
            enddocument


            enter image description here






            share|improve this answer














            It is rather easy to do that with decorations.markings. Below the same thing is achieved by a style.



            documentclass[a4paper, 12pt, parskip=half+]scrreprt
            usepackage[utf8]inputenc
            usepackagetikz
            usepackagepgffor
            usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
            usetikzlibrarycalc, trees %For graphics
            usetikzlibrarypositioning % ...positioning nodes
            usetikzlibraryarrows,shapes % ...customizing arrows
            usetikzlibrarypatterns,decorations.pathreplacing,decorations.markings
            tikzsetnode distance=2.5cm, %Minimum distance between nodes
             every state/.style=minimum size=0pt, fill=gray!10, circle split, 
             align=center, %properties for each state
             initial text=, %No label on start state
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick

            begindocument
            beginfigure
             centering
             begintikzpicture[node distance=1.5cm, ,shorten >=1pt,%Minimum 
             distance between nodes
             every state/.style=minimum size=0pt, inner sep=1pt, 
             fill=gray!10, circle, align=center, %properties for each state
             initial text=, %No label on start arrow
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick,
             every loop/.style=min distance=5mm,looseness=5]
             node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
             node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
             node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
             draw[->] (q1) to[loop above] node [above] textttC (q1);
             draw[->] (q1) edge node [above] textttD (q2);
             draw[->] (q2) edge node [above] textttD (q3);
             draw[->] (q3) to[loop above] node [above] textttC (q3); 
             draw[->,postaction=decorate,decoration=markings,
             mark=at position 0.25 with draw[->] (0pt,0pt) to[bend left] 
             coordinate[midway](aux) (q3);
             pgftransformreset
             node[above=2pt of aux]$1/3$;] (q3) to[out=135,in=45] 
             node[midway,above]$2/3$ (q1);
             endtikzpicture
            endfigure
            enddocument


            enter image description here



            Here is the same thing with a style



            split connection=at <pos of splitting point> with ratio <label> to <additional target>


            and an example in the code



            documentclass[a4paper, 12pt, parskip=half+]scrreprt
            usepackage[utf8]inputenc
            usepackagetikz
            usepackagepgffor
            usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
            usetikzlibrarycalc, trees %For graphics
            usetikzlibrarypositioning % ...positioning nodes
            usetikzlibraryarrows,shapes % ...customizing arrows
            usetikzlibrarypatterns,decorations.pathreplacing,decorations.markings
            tikzsetnode distance=2.5cm, %Minimum distance between nodes
             every state/.style=minimum size=0pt, fill=gray!10, circle split, 
             align=center, %properties for each state
             initial text=, %No label on start state
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick

            begindocument
            beginfigure
             centering
             begintikzpicture[node distance=1.5cm, shorten >=1pt,%Minimum 
             distance between nodes
             every state/.style=minimum size=0pt, inner sep=1pt, 
             fill=gray!10, circle, align=center, %properties for each state
             initial text=, %No label on start arrow
             final/.style=accepting,
             every picture/.style=>=stealth',
             brace/.style=decorate,decoration=brace, semithick,
             every loop/.style=min distance=5mm,looseness=5,
             split connection/.style args=at #1 with ratio #2 to #3postaction=decorate,decoration=markings,
             mark=at position #1 with draw[->] (0pt,0pt) to[bend left] 
             coordinate[midway](aux) (#3);
             pgftransformreset
             node[above=2pt of aux]$#2$;
             ]
             node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
             node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
             node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
             draw[->] (q1) to[loop above] node [above] textttC (q1);
             draw[->] (q1) edge node [above] textttD (q2);
             draw[->] (q2) edge node [above] textttD (q3);
             draw[->] (q3) to[loop above] node [above] textttC (q3); 
             draw[->,split connection=at 0.25 with ratio $1/3$ to q3] (q3) to[out=135,in=45] 
             node[midway,above]$2/3$ node[midway,below]textttD (q1);
             endtikzpicture
            endfigure
            enddocument


            enter image description here







            share|improve this answer














            share|improve this answer



            share|improve this answer








            edited 3 hours ago

























            answered 3 hours ago









            marmot

            57.1k462124




            57.1k462124











            • Wow, that looks nice! Thank you so much. Do you also know how to add the label "D" at that part of the edge where there was still only one edge (the lower part of the edge)?
              – Unicorn
              2 hours ago






            • 1




              @Unicorn Sure, just replace node[midway,below]textttD by node[pos=0.125,below]textttD. One could also make this part of the style, but the style would then become a bit bulky because it would have tons of parameters. If you tell me which version (style or no style) you like better, I could clean up.
              – marmot
              2 hours ago

















            • Wow, that looks nice! Thank you so much. Do you also know how to add the label "D" at that part of the edge where there was still only one edge (the lower part of the edge)?
              – Unicorn
              2 hours ago






            • 1




              @Unicorn Sure, just replace node[midway,below]textttD by node[pos=0.125,below]textttD. One could also make this part of the style, but the style would then become a bit bulky because it would have tons of parameters. If you tell me which version (style or no style) you like better, I could clean up.
              – marmot
              2 hours ago
















            Wow, that looks nice! Thank you so much. Do you also know how to add the label "D" at that part of the edge where there was still only one edge (the lower part of the edge)?
            – Unicorn
            2 hours ago




            Wow, that looks nice! Thank you so much. Do you also know how to add the label "D" at that part of the edge where there was still only one edge (the lower part of the edge)?
            – Unicorn
            2 hours ago




            1




            1




            @Unicorn Sure, just replace node[midway,below]textttD by node[pos=0.125,below]textttD. One could also make this part of the style, but the style would then become a bit bulky because it would have tons of parameters. If you tell me which version (style or no style) you like better, I could clean up.
            – marmot
            2 hours ago





            @Unicorn Sure, just replace node[midway,below]textttD by node[pos=0.125,below]textttD. One could also make this part of the style, but the style would then become a bit bulky because it would have tons of parameters. If you tell me which version (style or no style) you like better, I could clean up.
            – marmot
            2 hours ago











            up vote
            5
            down vote













            An option using ..controls +(direction:module) and +(direction:module).. line because nodes in a path node[pos=0_to_1_value] does not work for bend or to[in.., out], using nodes in a path allows to put a node in ceirtain positions in this case at 0.12 for the D label using node[pos=0.12,below]... for the 2/3 label node[pos=0.8]... and to split the arrow an empty node node[pos=0.25](temp), temp is the node_name, and then drawing an arrow from temp.center to (q3) usign controls again to put a node in a path with the label 1/3...



            RESULT:



            enter image description here



            MWE:



            documentclass[tikz,border=15pt]standalone
            usepackage[utf8]inputenc
            usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
            usetikzlibrarycalc, trees %For graphics
            usetikzlibrarypositioning % ...positioning nodes
            usetikzlibraryarrows.meta,shapes % ...customizing arrows
            usetikzlibrarypatterns,decorations.pathreplacing
            %Fonts MAnagement
            usepackage[scaled]helvet % For Sans Family
            usepackagesansmath
            sansmath 

            begindocument
             begintikzpicture[
             %Environment Config
             node distance=1.5cm,
             shorten >=1pt,%Minimum distance between nodes
             semithick,
             font=sffamily,
             >=Stealth,
             %Environment Styles
             every state/.style=
             minimum size=0pt,
             inner sep=1pt,
             fill=gray!10,
             circle,
             align=center
             , %properties for each state
             initial text=, %No label on start arrow
             final/.style=accepting,
             brace/.style=
             decorate,
             decoration=brace
             , 
             every loop/.style=
             min distance=5mm,
             looseness=5
             ]
             node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
             node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
             node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
             draw[->] (q1) to[loop above] node [above] textttC (q1);
             draw[->] (q1) edge node [above] D (q2);
             draw[->] (q2) edge node [above] D (q3);
             draw[->] (q3) to[loop above] node [above] textttC (q3);
             draw[->] (q3) .. controls +(140:2.5) and +(40:2.5) .. (q1)
             node[pos=0.12,below]D
             node[pos=0.8,above]scriptsize $2/3$
             node[pos=0.25](temp);
             draw[->] (temp.center) .. controls +(15:1) and +(120:1) .. (q3) node[pos=0.5,above]scriptsize $1/3$;
             endtikzpicture
            enddocument





            share|improve this answer


























              up vote
              5
              down vote













              An option using ..controls +(direction:module) and +(direction:module).. line because nodes in a path node[pos=0_to_1_value] does not work for bend or to[in.., out], using nodes in a path allows to put a node in ceirtain positions in this case at 0.12 for the D label using node[pos=0.12,below]... for the 2/3 label node[pos=0.8]... and to split the arrow an empty node node[pos=0.25](temp), temp is the node_name, and then drawing an arrow from temp.center to (q3) usign controls again to put a node in a path with the label 1/3...



              RESULT:



              enter image description here



              MWE:



              documentclass[tikz,border=15pt]standalone
              usepackage[utf8]inputenc
              usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
              usetikzlibrarycalc, trees %For graphics
              usetikzlibrarypositioning % ...positioning nodes
              usetikzlibraryarrows.meta,shapes % ...customizing arrows
              usetikzlibrarypatterns,decorations.pathreplacing
              %Fonts MAnagement
              usepackage[scaled]helvet % For Sans Family
              usepackagesansmath
              sansmath 

              begindocument
               begintikzpicture[
               %Environment Config
               node distance=1.5cm,
               shorten >=1pt,%Minimum distance between nodes
               semithick,
               font=sffamily,
               >=Stealth,
               %Environment Styles
               every state/.style=
               minimum size=0pt,
               inner sep=1pt,
               fill=gray!10,
               circle,
               align=center
               , %properties for each state
               initial text=, %No label on start arrow
               final/.style=accepting,
               brace/.style=
               decorate,
               decoration=brace
               , 
               every loop/.style=
               min distance=5mm,
               looseness=5
               ]
               node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
               node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
               node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
               draw[->] (q1) to[loop above] node [above] textttC (q1);
               draw[->] (q1) edge node [above] D (q2);
               draw[->] (q2) edge node [above] D (q3);
               draw[->] (q3) to[loop above] node [above] textttC (q3);
               draw[->] (q3) .. controls +(140:2.5) and +(40:2.5) .. (q1)
               node[pos=0.12,below]D
               node[pos=0.8,above]scriptsize $2/3$
               node[pos=0.25](temp);
               draw[->] (temp.center) .. controls +(15:1) and +(120:1) .. (q3) node[pos=0.5,above]scriptsize $1/3$;
               endtikzpicture
              enddocument





              share|improve this answer
























                up vote
                5
                down vote










                up vote
                5
                down vote









                An option using ..controls +(direction:module) and +(direction:module).. line because nodes in a path node[pos=0_to_1_value] does not work for bend or to[in.., out], using nodes in a path allows to put a node in ceirtain positions in this case at 0.12 for the D label using node[pos=0.12,below]... for the 2/3 label node[pos=0.8]... and to split the arrow an empty node node[pos=0.25](temp), temp is the node_name, and then drawing an arrow from temp.center to (q3) usign controls again to put a node in a path with the label 1/3...



                RESULT:



                enter image description here



                MWE:



                documentclass[tikz,border=15pt]standalone
                usepackage[utf8]inputenc
                usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
                usetikzlibrarycalc, trees %For graphics
                usetikzlibrarypositioning % ...positioning nodes
                usetikzlibraryarrows.meta,shapes % ...customizing arrows
                usetikzlibrarypatterns,decorations.pathreplacing
                %Fonts MAnagement
                usepackage[scaled]helvet % For Sans Family
                usepackagesansmath
                sansmath 

                begindocument
                 begintikzpicture[
                 %Environment Config
                 node distance=1.5cm,
                 shorten >=1pt,%Minimum distance between nodes
                 semithick,
                 font=sffamily,
                 >=Stealth,
                 %Environment Styles
                 every state/.style=
                 minimum size=0pt,
                 inner sep=1pt,
                 fill=gray!10,
                 circle,
                 align=center
                 , %properties for each state
                 initial text=, %No label on start arrow
                 final/.style=accepting,
                 brace/.style=
                 decorate,
                 decoration=brace
                 , 
                 every loop/.style=
                 min distance=5mm,
                 looseness=5
                 ]
                 node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
                 node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
                 node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
                 draw[->] (q1) to[loop above] node [above] textttC (q1);
                 draw[->] (q1) edge node [above] D (q2);
                 draw[->] (q2) edge node [above] D (q3);
                 draw[->] (q3) to[loop above] node [above] textttC (q3);
                 draw[->] (q3) .. controls +(140:2.5) and +(40:2.5) .. (q1)
                 node[pos=0.12,below]D
                 node[pos=0.8,above]scriptsize $2/3$
                 node[pos=0.25](temp);
                 draw[->] (temp.center) .. controls +(15:1) and +(120:1) .. (q3) node[pos=0.5,above]scriptsize $1/3$;
                 endtikzpicture
                enddocument





                share|improve this answer














                An option using ..controls +(direction:module) and +(direction:module).. line because nodes in a path node[pos=0_to_1_value] does not work for bend or to[in.., out], using nodes in a path allows to put a node in ceirtain positions in this case at 0.12 for the D label using node[pos=0.12,below]... for the 2/3 label node[pos=0.8]... and to split the arrow an empty node node[pos=0.25](temp), temp is the node_name, and then drawing an arrow from temp.center to (q3) usign controls again to put a node in a path with the label 1/3...



                RESULT:



                enter image description here



                MWE:



                documentclass[tikz,border=15pt]standalone
                usepackage[utf8]inputenc
                usetikzlibraryautomata,shapes.multipart % Import library for drawing automata
                usetikzlibrarycalc, trees %For graphics
                usetikzlibrarypositioning % ...positioning nodes
                usetikzlibraryarrows.meta,shapes % ...customizing arrows
                usetikzlibrarypatterns,decorations.pathreplacing
                %Fonts MAnagement
                usepackage[scaled]helvet % For Sans Family
                usepackagesansmath
                sansmath 

                begindocument
                 begintikzpicture[
                 %Environment Config
                 node distance=1.5cm,
                 shorten >=1pt,%Minimum distance between nodes
                 semithick,
                 font=sffamily,
                 >=Stealth,
                 %Environment Styles
                 every state/.style=
                 minimum size=0pt,
                 inner sep=1pt,
                 fill=gray!10,
                 circle,
                 align=center
                 , %properties for each state
                 initial text=, %No label on start arrow
                 final/.style=accepting,
                 brace/.style=
                 decorate,
                 decoration=brace
                 , 
                 every loop/.style=
                 min distance=5mm,
                 looseness=5
                 ]
                 node[state,initial] (q1) $q_i^1$ \ -------- \ A; 
                 node[state] (q2) [right=of q1] $q_i^2$ \ -------- \ B; 
                 node[state] (q3) [right=of q2] $q_i^3$ \ -------- \ B; 
                 draw[->] (q1) to[loop above] node [above] textttC (q1);
                 draw[->] (q1) edge node [above] D (q2);
                 draw[->] (q2) edge node [above] D (q3);
                 draw[->] (q3) to[loop above] node [above] textttC (q3);
                 draw[->] (q3) .. controls +(140:2.5) and +(40:2.5) .. (q1)
                 node[pos=0.12,below]D
                 node[pos=0.8,above]scriptsize $2/3$
                 node[pos=0.25](temp);
                 draw[->] (temp.center) .. controls +(15:1) and +(120:1) .. (q3) node[pos=0.5,above]scriptsize $1/3$;
                 endtikzpicture
                enddocument






                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited 2 hours ago

























                answered 2 hours ago









                J Leon V.

                6,675528




                6,675528



























                     

                    draft saved


                    draft discarded















































                     


                    draft saved


                    draft discarded














                    StackExchange.ready(
                    function ()
                    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2ftex.stackexchange.com%2fquestions%2f450717%2fsplitting-an-edge-into-two-parts-in-a-probabilistic-automaton%23new-answer', 'question_page');

                    );

                    Post as a guest
































































                    Comments

                    Post a Comment

                    Popular posts from this blog

                    What does second last employer means? [closed]

                    Image
                    Clash Royale CLAN TAG #URR8PPP .everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty margin-bottom:0; up vote -3 down vote favorite Say, for example I have worked in the following companies, Company A => 2010 - 2011 Company B => 2011 - 2012 Company C => 2012 - Till Date Company D => Have offer Now assume Company D is asking to submit documents from my second last employer. So from the list of companies given, which company would be qualified as second last employer? software-industry employer share | improve this question asked Aug 10 '14 at 5:16 Rajaprabhu Aravindasamy 559 1 6 13 closed as off-topic by Jim G., jmort253 ♦ Aug 11 '14 at 1:58 This question appears to be off-topic. The users who voted to close gave this specific reason: "Questions seeking advice on company-specific regulations, agreements, or policies should be directed to your manager or HR department. Questions that address...
                    Read more

                    Installing NextGIS Connect into QGIS 3?

                    Image
                    Clash Royale CLAN TAG #URR8PPP .everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty margin-bottom:0; up vote 1 down vote favorite Just acquired free version of NEXTGIS and trying to install the plugin for QGIS. It tells me it was not designed for version 3 of QGIS. How do I set up the QGIS-NEXTGIS interface then? qgis qgis-plugins nextgis share | improve this question edited 3 hours ago PolyGeo ♦ 51.9k 17 77 233 asked 4 hours ago IanGS 16 4 New contributor IanGS is a new contributor to this site. Take care in asking for clarification, commenting, and answering. Check out our Code of Conduct. add a comment  |  up vote 1 down vote favorite Just acquired free version of NEXTGIS and trying to install the plugin for QGIS. It tells me it was not designed for version 3 of QGIS. How do I set up the QGIS-NEXTGIS interface then? qgis qgis-plugin...
                    Read more

                    One-line joke

                    A one-liner is a joke that is delivered in a single line. A good one-liner is said to be pithy - concise and meaningful. [1] Comedians and actors use this comedic method as part of their act, e.g. Jimmy Carr, Tommy Cooper, Rodney Dangerfield, Norm Macdonald, Ken Dodd, Stewart Francis, Zach Galifianakis, Mitch Hedberg, Anthony Jeselnik, Milton Jones, Shappi Khorsandi, Jay London, Mark Linn-Baker, Demetri Martin, Groucho Marx, Dan Mintz, Emo Philips, Tim Vine, Steven Wright and Henny Youngman and Arnold Schwarzenegger. [ citation needed ] Many fictional characters are also known to deliver one-liners, including James Bond, who usually includes pithy and laconic quips after disposing of a villain. [ citation needed ] Examples "A baby seal walks into a club." "A dyslexic man walks into a bra." (Anonymous) "There are three types of people, those who can count and those who can't." "Venison's dear, isn't it?" (Jimmy Carr) "An escala...
                    Read more