Package TikZ lends itself very well to drawing graphs.
This is a small example (requires TikZ 3.0+):
\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{positioning,arrows.meta}
\begin{document}
\begin{tikzpicture}[auto,vertex/.style={draw,circle}]
\node[vertex] (a) {A};
\node[vertex,right=1cm of a] (b) {B};
\node[vertex,below right=1cm and 0.5cm of a] (c) {C};
\path[-{Stealth[]}]
(a) edge node {1} (b)
(a) edge (c)
(c) edge (b);
\end{tikzpicture}
\end{document}
You can create arbitrarily complex graphs; beware lengthy code, though. Recall that there is \foreach
and take note of all the positioning and styling options (cf. TikZ manual, section 13 to 17).