# Draw a path from a node to another path

I have a digraph and I would like to draw a path that starts, let's say in node 2 and ends at the near start of path 2->4. IT's slightly different from a loop from 1 to 1.

What I am trying to achieve:

$\begin{tikzpicture}[ > = stealth, shorten > = 1pt, auto, node distance = 3cm, semithick ] \tikzstyle{every state}=[ draw = black, thick, fill = white, minimum size = 4mm ] \node[state] (1) at (0,2) {1}; \node[state] (2) at (2,4) {2}; \node[state] (3) at (2,0) {3}; \node[state] (4) at (6,4) {4}; \node[state] (5) at (6,0) {5}; \node[state] (6) at (8,2) {6}; \path[->] (1) edge node {0.8} (2); \path[->] (1) edge node [left] {0.75} (3); \path[->] (1) edge [loop above,thick] node {A} (2); \path[->] (2) edge node {0.7} (4); \path[->] (2) edge node [near start] {0.8} (5); \path[->] (2) edge node [near start] {0.58} (6); \path[->] (3) edge node [near start] {0.8} (4); \path[->] (3) edge node [near start] {0.62} (6); \path[->] (3) edge node [below] {0.8} (5); \path[->] (4) edge node {0.8} (6); \path[->] (5) edge node {0.7} (6); \path[->] (1.-20) edge [draw=blue] node {} (3.110); \path[->] (3.20) edge [draw=blue] node {} (4.-110); \path[->] (4.-20) edge [draw=blue] node {} (6.110); \end{tikzpicture}$

• welcome to tex.se! please extend your code snippet to full small document. in preamble are information needed to test code .... (as used libraries etc) . – Zarko Oct 1 '17 at 10:41
• any news? or you forgot on your question? – Zarko Oct 3 '17 at 13:57

like this?

for this are needed two changes in your code:

\path[->] (2) edge node {0.7}  coordinate[pos=0.2] (2a) (4);    % <--- changes
\path[->] (2) edge [out=75,in=90, looseness=3] (2a);        % <--- added


eddit: maybe you liked the following automaton looks:

\documentclass[tikz, margin=3mm]{standalone}
\usetikzlibrary{arrows.meta, automata, quotes}

\begin{document}
\begin{tikzpicture}[
> = stealth,
shorten > = 1pt,
every edge quotes/.style = {font=\small, auto=left, sloped}
]
\begin{scope}[every node/.style={state, thick, minimum size = 4mm}]
\node   (1) at (0,2) {$1$};
\node   (2) at (2,4) {$2$};
\node   (3) at (2,0) {$3$};
\node   (4) at (6,4) {$4$};
\node   (5) at (6,0) {$5$};
\node   (6) at (8,2) {$6$};
\end{scope}
\path[->]
(1) edge ["0.8"]                    (2)
(1) edge ["0.75" ']                   (3)
(1) edge [loop above,thick,"$A$"]   (2)
(2) edge ["0.7"]  coordinate[pos=0.2] (2a) (4)  % <--- changes
(2) edge [out=75,in=90, looseness=2]  (2a)  % <--- added
(2) edge [near start,"0.8"]         (5)
(2) edge [near start,"0.58"]        (6)
(3) edge [near start,"0.8"]         (4)
(3) edge [near end,"0.62"]        (6)
(3) edge ["0.8"]                    (5)
(4) edge ["0.8"']                    (6)
(5) edge ["0.7"]                    (6);
%
\path[draw=blue, ->]
(1.-20) edge    (3.110)
(3.20)  edge    (4.-110)
(4.-20)  to     (6.110);
\end{tikzpicture}


edit: apparently op forgot on her/his question ... so i complete above code snippet to mwe (that can be simpler tested by anyone else interested).