\documentclass[a4paper]{article}
\usepackage{tkz-graph}

\begin{document}

\begin{tikzpicture}
\renewcommand*{\VertexLineWidth}{2pt}
\renewcommand*{\EdgeLineWidth}{1pt}
\GraphInit[vstyle=Welsh]
\Vertices[unit=3]{circle}{A,B,C,D,E,F,G}
\Edges(G,E,F,G,B,D,E,C,D,A,C,B,A) \Edges(B,E)
\end{tikzpicture}

\end{document}