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% A complete graph

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% Author: Quintin Jean-Noël

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% <http://moais.imag.fr/membres/jean-noel.quintin/>

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\documentclass[varwidth=true, border=2pt]{standalone}

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\usepackage[nomessages]{fp}% http://ctan.org/pkg/fp

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\usepackage{tikz}

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\usetikzlibrary[topaths]

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\begin{document}

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    \newcommand\n{5}

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    \begin{tikzpicture}

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        \node[vertex] (a) at (3,6) {};

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        \node[vertex] (b) at (2,4) {};

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        \node[vertex] (c) at (4,4) {};

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        \node[vertex] (d) at (1,2) {};

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        \node[vertex] (e) at (2,2) {};

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        \node[vertex] (f) at (3,2) {};

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        \node[vertex] (g) at (4,2) {};

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        \node[vertex] (h) at (0,0) {};

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        \node[vertex] (i) at (2,0) {};

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        \node[vertex] (j) at (3,0) {};

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        \node[vertex] (k) at (5,0) {};

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        \draw[red] (a) -- (b);

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        \draw[red] (a) -- (c);

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        \draw[red] (b) -- (d);

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        \draw[red] (b) -- (e);

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        \draw[red] (b) -- (f);

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        \draw[red] (d) -- (h);

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        \draw[red] (d) -- (i);

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        \draw[red] (c) -- (g);

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        \draw (g) -- (j);

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        \draw (g) -- (k);

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    \end{tikzpicture}

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\end{document}

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