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added 'graph with content and structure' example
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\documentclass[varwidth=true, border=2pt]{standalone}
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\usepackage{tikz}
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\begin{document}
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\tikzstyle{vertex}=[draw,black,circle,minimum size=10pt,inner sep=0pt]
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\tikzstyle{edge}=[very thick]
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\begin{tikzpicture}[scale=1.3]
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\node (a)[vertex] at (0,0) {};
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\node (b)[vertex] at (0,1) {};
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\node (c)[vertex] at (0,2) {};
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\node (d)[vertex] at (1,0) {};
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\node (e)[vertex] at (1,1) {};
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\node (f)[vertex] at (1,2) {};
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\node (g)[vertex] at (2,0) {};
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\node (h)[vertex] at (2,1) {};
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\node (i)[vertex] at (2,2) {};
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\node (x)[vertex] at (4,0) {};
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\node (y)[vertex] at (4,1) {};
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\node (z)[vertex] at (4,2) {};
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\draw[edge] (a) -- (d);
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\draw[edge] (b) -- (d);
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\draw[edge] (b) -- (c);
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\draw[edge] (c) -- (d);
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\draw[edge] (d) -- (e);
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\draw[edge] (d) edge[bend left] (f);
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\draw[edge] (d) edge[bend right] (x);
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\draw[edge] (g) edge (x);
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\draw[edge] (h) edge (x);
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\draw[edge] (h) edge (y);
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\draw[edge] (h) edge (e);
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\draw[edge] (e) edge (z);
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\draw[edge] (i) edge (y);
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\draw [dashed] (-0.3,-0.3) rectangle (2.3,2.3);
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\draw [dashed] (2.5,2.3) rectangle (5, -0.3);
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\node (struktur)[label={[label distance=0cm]0:Sturkturknoten}] at (-0.1,2.5) {};
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\node (struktur)[label={[label distance=0cm]0:Wortknoten}] at (2.7,2.5) {};
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\end{tikzpicture}
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\end{document}
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