In directed graph how to place a letter over top MWE T1 to place letter p1. i tried but the letter goes far and i need without disturbing any other node to place it and how to omit the link numbers.
\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{arrows, positioning, automata}
\begin{document}
\begin{figure}
\begin{tikzpicture}[>=stealth',shorten >=1pt,node distance=2cm,on grid,initial/.style={}]
\node[state] (T1) {$T1$};
\node[state] (T4) [below =of T1] {$T4$};
\node[state] (T3) [left =of T4] {$T3$};
\node[state] (T2) [left =of T3] {$T2$};
\node[state] (T5) [right =of T4] {$T5$};
\node[state] (T6) [right =of T5] {$T6$};
\node[state] (T8) [below =of T4] {$T8$};
\node[state] (T7) [left =of T8] {$T7$};
\node[state] (T9) [right =of T8] {$T9$};
\node[state] (T10) [below =of T8] {$T10$};
\node [above =of T1] {$P1$};
\node [above =of T2] {$P1$};
\node [above =of T3] {$P2$};
\node [above =of T4] {$P3$};
\node [above =of T5] {$P3$};
\node [above =of T6] {$P3$};
\node [above =of T7] {$P2$};
\node [above =of T8] {$P1$};
\node [above =of T9] {$P2$};
\node [above =of T10] {$P2$};
\tikzset{mystyle/.style={->,double=black}}
\tikzset{every node/.style={fill=white}}
\path (T1) edge [mystyle] node {$18$} (T2);
\path (T1) edge [mystyle] node {$12$} (T3);
\path (T1) edge [mystyle] node {$9$} (T4);
\path (T1) edge [mystyle] node {$11$} (T5);
\path (T1) edge [mystyle] node {$14$} (T6);
\path (T2) edge [mystyle] node[pos=0.7] {$19$} (T8);
\path (T2) edge [mystyle] node {$16$} (T9);
\path (T3) edge [mystyle] node[pos=0.7] {$23$} (T7);
\path (T4) edge [mystyle] node {$27$} (T8);
\path (T4) edge [mystyle] node {$23$} (T9);
\path (T5) edge [mystyle] node {$13$} (T9);
\path (T6) edge [mystyle] node {$15$} (T8);
\path (T7) edge [mystyle] node {$17$} (T10);
\path (T8) edge [mystyle] node {$11$} (T10);
\path (T9) edge [mystyle] node {$13$} (T10);
\end{tikzpicture}
\end{figure}
\end{document}


\node[state,label=above:P1] (T1) {$T1$};? – Torbjørn T. Dec 24 '15 at 23:26