bachelor-project-report/tikzs/vertex_intro.tikz

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\begin{tikzpicture}
\begin{pgfonlayer}{nodelayer}
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\node [style=Medium dot] (0) at (-3, 3.25) {};
\node [style=Medium dot] (1) at (2.5, 0) {};
\node [style=Medium dot] (2) at (-5.5, -2.5) {};
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\node [style=none] (3) at (1.25, 5.5) {};
\node [style=none] (4) at (0, -4.75) {};
\node [style=none] (5) at (5.75, 2.75) {};
\node [style=none] (6) at (7.75, -4.25) {};
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\node [style=none] (9) at (2.5, 0.5) {\Large$V_i$};
\node [style=none] (10) at (0.75, 4.5) {\Large$e_j$};
\node [style=none] (11) at (-3, 3.75) {\Large$V_{i-1}$};
\node [style=none] (12) at (-5.5, -3) {\Large$V_{i+1}$};
\node [style=none] (13) at (-6.75, -0.25) {};
\node [style=none] (14) at (-5.5, 2) {};
\node [style=none] (15) at (-3.25, 0.5) {\huge$A$};
\node [style=none] (16) at (3.75, -1) {\huge$B$};
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\end{pgfonlayer}
\begin{pgfonlayer}{edgelayer}
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\draw (0) to (1);
\draw (1) to (2);
\draw [style=Very thick] (3.center) to (4.center);
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\draw (4.center) to (6.center);
\draw (6.center) to (5.center);
\draw (5.center) to (3.center);
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\draw (2) to (13.center);
\draw (13.center) to (14.center);
\draw (14.center) to (0);
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\end{pgfonlayer}
\end{tikzpicture}