متشکر
گفتم که مشکل حل شد
خودم با استفاده از label مشکل رو حل کردم
\begin{tikzpicture}[->,sibling distance=10em]
\node [circle,draw,top color=blue, bottom color=blue,color =white]{9}
child { node[circle,draw,top color=blue, bottom color=blue,color =white,label=left:\color{red}1] {4}
child { node [circle,draw,top color=blue, bottom color=blue,color =white,label=below:A,label=left:\color{red}1]{1} }
child { node [circle,draw,top color=blue, bottom color=blue,color =white,label=below:B,label=right:\color{red}0]{3} }}
child { node [circle,draw,top color=blue, bottom color=blue,color =white,label=below:C,label=right:\color{red}0]{5} };
\end{tikzpicture}