\documentclass{standalone}
\input{common-headers}
\input{sigles}
\begin{document}
% Étoile fermeture de S
\begin{tikzpicture}
  \input{operateurs}

  \node[2cell] (a) at (A) {};
  \node[2cell] (b) at (B) {};
  \node[2cell] (c) at (C) {};
  \node[2cell] (d) at (D) {};
  \node[2cell] (e) at (E) {};
  \node[2cell] (f) at (F) {};
  \node[2cell] (g) at (G) {};

  \draw[1cell] (A.corner 1) -- (A.corner 2);
  \draw[1cell] (A.corner 2) -- (A.corner 3);
  \draw[1cell] (A.corner 3) -- (A.corner 4);
  \draw[1cell] (A.corner 4) -- (A.corner 5);
  \draw[1cell] (A.corner 5) -- (A.corner 6);
  \draw[1cell] (A.corner 6) -- (A.corner 1);

  \draw[1cell] (A.corner 1) -- (B.corner 2);
  \draw[1cell] (A.corner 2) -- (C.corner 3);
  \draw[1cell] (A.corner 3) -- (D.corner 4);
  \draw[1cell] (A.corner 4) -- (E.corner 5);
  \draw[1cell] (A.corner 5) -- (F.corner 6);
  \draw[1cell] (A.corner 6) -- (G.corner 1);

  \node[0cell] (a1) at (A.corner 1) {};
  \node[0cell] (a2) at (A.corner 2) {};
  \node[0cell] (a3) at (A.corner 3) {};
  \node[0cell] (a4) at (A.corner 4) {};
  \node[0cell] (a5) at (A.corner 5) {};
  \node[0cell] (a6) at (A.corner 6) {};

  \begin{scope}[0cell/.style={circle, inner sep=0, minimum width=5pt,
    fill = black!20, draw = white, thick}]
    \node[0cell] (g1) at (G.corner 1) {};
    \node[0cell] (b2) at (B.corner 2) {};
    \node[0cell] (c3) at (C.corner 3) {};
    \node[0cell] (d4) at (D.corner 4) {};
    \node[0cell] (e5) at (E.corner 5) {};
    \node[0cell] (f6) at (F.corner 6) {};
  \end{scope}
\end{scope}
\end{tikzpicture}
\end{document}