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\documentclass[hyperref={pdfpagelabels=false},usepdftitle=false]{beamer}

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\usepackage{../../templates/myStyle}

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\begin{document}

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\title{\titleText}

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\subtitle{}

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\author{\tutor}

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\date{2. Juli 2013}

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\subject{Diskrete Mathematik}

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\tikzstyle{vertex}=[draw,circle,fill,minimum size=10pt,inner sep=0pt]

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\tikzstyle{edge}=[red, very thick]

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\tikzstyle{markedCircle}=[blue,line width=1pt,rotate=90,decorate,decoration={snake, segment length=2mm, amplitude=0.4mm},->]

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\tikzstyle{markedCircle2}=[red,line width=1pt,rotate=90,decorate,decoration={snake, segment length=3mm, amplitude=0.4mm},->]

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\pgfdeclarelayer{background}

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\pgfsetlayers{background,main}

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\begin{frame}{Sind Eulerkreise eindeutig?}

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    \begin{tikzpicture}[scale=1.9]

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        \node[vertex,label=$a_1$] (a1) at (1,2) {};

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        \node[vertex,label=$b_1$] (b1) at (3,2) {};

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        \node[vertex,label=$c_1$] (c1) at (2,1) {};

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        \node[vertex,label=$b_2$] (b2) at (0,2) {};

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        \node[vertex,label=$c_2$] (c2) at (1,3) {};

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        \node[vertex,label=$c_3$] (c3) at (3,3) {};

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        \node[vertex,label=$a_3$] (a3) at (4,2) {};

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        \draw (a1) -- (b1) -- (c1) -- (a1) -- cycle;

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        \draw (a1) -- (b2) -- (c2) -- (a1) -- cycle;

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        \draw (b1) -- (c3) -- (a3) -- (b1) -- cycle;

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        \node<2->[vertex, red] (a1) at (1,2) {};

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        \draw<2->[color=blue, markedCircle,->] (a1.center) -- (b2.center);

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        \draw<3->[color=blue, markedCircle] (b2.center) -- (c2.center);

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        \draw<4->[color=blue, markedCircle] (c2.center) -- (a1.center);

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        \draw<5->[color=blue, markedCircle] (a1.center) -- (b1.center);

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        \draw<6->[color=blue, markedCircle] (b1.center) -- (c3.center);

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        \draw<7->[color=blue, markedCircle] (c3.center) -- (a3.center);

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        \draw<8->[color=blue, markedCircle] (a3.center) -- (b1.center);

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        \draw<9->[color=blue, markedCircle] (b1.center) -- (c1.center);

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        \draw<10->[color=blue, markedCircle] (c1.center) -- (a1.center);

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        \draw<11->[markedCircle2] (a1) -- (b2.center);

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        \draw<12->[markedCircle2] (b2.center) -- (c2.center);

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        \draw<13->[markedCircle2] (c2.center) -- (a1.center);

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        \draw<14->[markedCircle2] (a1.center) -- (b1.center);

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        \draw<15->[markedCircle2] (b1.center) -- (a3.center);

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        \draw<16->[markedCircle2] (a3.center) -- (c3.center);

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        \draw<17->[markedCircle2] (c3.center) -- (b1.center);

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        \draw<18->[markedCircle2] (b1.center) -- (c1.center);

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        \draw<19->[markedCircle2] (c1.center) -- (a1.center);

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    \end{tikzpicture}

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\end{frame}

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\end{document}

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