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Martin Thoma 2013-06-11 21:51:30 +02:00
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16 changed files with 539 additions and 33 deletions
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21
presentations/Diskrete-Mathematik/LaTeX/graphs/bipartit-algorithm.tex Normal file
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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning}
\tikzset{
%Define standard arrow tip
>=stealth',
% Define arrow style
pil/.style={->,thick}
}
\begin{document}
\begin{tikzpicture}
\node (a)[vertex] at (0,8) {$a$};
\node (b)[vertex] at (0,4) {$b$};
\node (c)[vertex] at (0,0) {$c$};
\node (d)[vertex] at (4,4) {$d$};
\foreach \from/\to/\pos in {a/b/20,a/b/-20,a/d/0,b/c/20,b/c/-20,b/d/0,c/d/0}
\draw[line width=2pt] (\from) to [bend left=\pos] (\to);
\end{tikzpicture}
\end{document}

22
presentations/Diskrete-Mathematik/LaTeX/graphs/euler-nicht-hamilton.tex Normal file
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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning}
\tikzset{
%Define standard arrow tip
>=stealth',
% Define arrow style
pil/.style={->,thick}
}
\begin{document}
\begin{tikzpicture}
\node (a)[vertex] at (0,0) {};
\node (b)[vertex] at (2,0) {};
\node (c)[vertex] at (2,2) {};
\node (d)[vertex] at (0,2) {};
\node (d)[vertex] at (1,1) {};
\foreach \from/\to in {a/b,b/c,c/d,d/a,b/e,e/d}
\draw[line width=2pt] (\from) -- (\to);
\end{tikzpicture}
\end{document}

21
presentations/Diskrete-Mathematik/LaTeX/graphs/hamilton-nicht-euler.tex Normal file
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\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage{tikz}
\usetikzlibrary{arrows,positioning}
\tikzset{
%Define standard arrow tip
>=stealth',
% Define arrow style
pil/.style={->,thick}
}
\begin{document}
\begin{tikzpicture}
\node (a)[vertex] at (0,0) {};
\node (b)[vertex] at (0,1) {};
\node (c)[vertex] at (1,0) {};
\node (d)[vertex] at (0,1) {};
\foreach \from/\to in {a/b,b/c,c/d,d/a,a/c,b/d}
\draw[line width=2pt] (\from) -- (\to);
\end{tikzpicture}
\end{document}

19
presentations/Diskrete-Mathematik/LaTeX/graphs/triangular-1.tex Normal file
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% A complete graph
% Author: Quintin Jean-Noël
% <http://moais.imag.fr/membres/jean-noel.quintin/>
\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage[nomessages]{fp}% http://ctan.org/pkg/fp
\usepackage{tikz}
\usetikzlibrary[topaths]
\begin{document}
\newcommand\n{5}
\begin{tikzpicture}
\node[vertex] (N1) at (0,0) {};
\node[vertex] (N2) at (2,0) {};
\node[vertex] (N3) at (1,1) {};
\draw (N1) -- (N3) -- (N2) -- (N1);
\end{tikzpicture}
\end{document}

21
presentations/Diskrete-Mathematik/LaTeX/graphs/triangular-2.tex Normal file
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% A complete graph
% Author: Quintin Jean-Noël
% <http://moais.imag.fr/membres/jean-noel.quintin/>
\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage[nomessages]{fp}% http://ctan.org/pkg/fp
\usepackage{tikz}
\usetikzlibrary[topaths]
\begin{document}
\begin{tikzpicture}
\node[vertex] (N1) at (0,0) {};
\node[vertex] (N2) at (2,0) {};
\node[vertex] (N3) at (4,0) {};
\node[vertex] (N4) at (1,1) {};
\node[vertex] (N5) at (3,1) {};
\node[vertex] (N6) at (2,2) {};
\draw (N1) -- (N4) -- (N2) -- (N5) -- (N4) -- (N6) -- (N5) -- (N3) -- (N2) -- (N1);
\end{tikzpicture}
\end{document}

25
presentations/Diskrete-Mathematik/LaTeX/graphs/triangular-3.tex Normal file
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% A complete graph
% Author: Quintin Jean-Noël
% <http://moais.imag.fr/membres/jean-noel.quintin/>
\documentclass[varwidth=true, border=2pt]{standalone}
\usepackage[nomessages]{fp}% http://ctan.org/pkg/fp
\usepackage{tikz}
\usetikzlibrary[topaths]
\begin{document}
\begin{tikzpicture}
\node[vertex] (N1) at (0,0) {};
\node[vertex] (N2) at (2,0) {};
\node[vertex] (N3) at (4,0) {};
\node[vertex] (N4) at (6,0) {};
\node[vertex] (N5) at (1,1) {};
\node[vertex] (N6) at (3,1) {};
\node[vertex] (N7) at (5,1) {};
\node[vertex] (N8) at (2,2) {};
\node[vertex] (N9) at (4,2) {};
\node[vertex] (N10) at (3,3) {};
\draw (N1) -- (N5) -- (N2) -- (N6) -- (N3) -- (N7) -- (N6) -- (N5) -- (N8) -- (N6) -- (N9) -- (N8) -- (N10) -- (N9) -- (N7) -- (N4) -- (N3) -- (N2) -- (N1);
\end{tikzpicture}
\end{document}