add new graph

3 files changed, 91 insertions, 1 deletions

diff --git a/buch/chapters/70-graphen/images/Makefile b/buch/chapters/70-graphen/images/Makefile
index 2199ddc..9e61446 100644
--- a/buch/chapters/70-graphen/images/Makefile
+++ b/buch/chapters/70-graphen/images/Makefile
@@ -3,8 +3,11 @@
 #
 # (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
 #
-all:	peterson.pdf
+all:	peterson.pdf adjazenzu.pdf
 
 peterson.pdf:	peterson.tex
 	pdflatex peterson.tex
 
+adjazenzu.pdf:	adjazenzu.tex
+	pdflatex adjazenzu.tex
+
diff --git a/buch/chapters/70-graphen/images/adjazenzu.pdf b/buch/chapters/70-graphen/images/adjazenzu.pdf
new file mode 100644
index 0000000..c24335a
--- /dev/null
+++ b/buch/chapters/70-graphen/images/adjazenzu.pdf
diff --git a/buch/chapters/70-graphen/images/adjazenzu.tex b/buch/chapters/70-graphen/images/adjazenzu.tex
new file mode 100644
index 0000000..29e094f
--- /dev/null
+++ b/buch/chapters/70-graphen/images/adjazenzu.tex
@@ -0,0 +1,87 @@
+%
+% adjazenzu.tex -- Adjazenz-Matrix für einen ungerichten Graphen
+%
+% (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
+%
+\documentclass[tikz]{standalone}
+\usepackage{amsmath}
+\usepackage{times}
+\usepackage{txfonts}
+\usepackage{pgfplots}
+\usepackage{csvsimple}
+\usetikzlibrary{arrows,intersections,math,calc}
+\begin{document}
+\def\skala{1}
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\def\r{1.8}
+
+\begin{scope}
+\coordinate (A) at ({\r*cos(0*72)},{\r*sin(0*72)});
+\coordinate (B) at ({\r*cos(1*72)},{\r*sin(1*72)});
+\coordinate (C) at ({\r*cos(2*72)},{\r*sin(2*72)});
+\coordinate (D) at ({\r*cos(3*72)},{\r*sin(3*72)});
+\coordinate (E) at ({\r*cos(4*72)},{\r*sin(4*72)});
+
+\draw[shorten >= 0.2cm,shorten <= 0.2cm] (A) -- (C);
+\draw[color=white,line width=5pt] (B) -- (D);
+\draw[shorten >= 0.2cm,shorten <= 0.2cm] (B) -- (D);
+
+\draw[shorten >= 0.2cm,shorten <= 0.2cm] (A) -- (B);
+\draw[shorten >= 0.2cm,shorten <= 0.2cm] (B) -- (C);
+\draw[shorten >= 0.2cm,shorten <= 0.2cm] (C) -- (D);
+\draw[shorten >= 0.2cm,shorten <= 0.2cm] (D) -- (E);
+\draw[shorten >= 0.2cm,shorten <= 0.2cm] (E) -- (A);
+
+\draw (A) circle[radius=0.2];
+\draw (B) circle[radius=0.2];
+\draw (C) circle[radius=0.2];
+\draw (D) circle[radius=0.2];
+\draw (E) circle[radius=0.2];
+
+\node at (A) {$1$};
+\node at (B) {$2$};
+\node at (C) {$3$};
+\node at (D) {$4$};
+\node at (E) {$5$};
+\node at (0,0) {$G$};
+
+\node at ($0.5*(A)+0.5*(B)$) [above right] {$1$};
+\node at ($0.5*(B)+0.5*(C)$) [above left] {$2$};
+\node at ($0.5*(C)+0.5*(D)$) [left] {$3$};
+\node at ($0.5*(D)+0.5*(E)$) [below] {$4$};
+\node at ($0.5*(E)+0.5*(A)$) [below right] {$5$};
+\node at ($0.6*(A)+0.4*(C)$) [above] {$6$};
+\node at ($0.4*(B)+0.6*(D)$) [left] {$7$};
+
+\end{scope}
+
+\begin{scope}[xshift=3cm,yshift=-1.1cm]
+\node at (0,0) [right] {$\displaystyle
+B(G)
+=
+\begin{pmatrix}
+1&0&0&0&1&0&0\\
+1&1&0&0&0&1&0\\
+0&1&1&0&0&0&1\\
+0&0&1&1&0&1&0\\
+0&0&0&1&1&0&1
+\end{pmatrix}$};
+\end{scope}
+
+\begin{scope}[xshift=3cm,yshift=1.1cm]
+\node at (0,0) [right] {$\displaystyle
+A(G)
+=
+\begin{pmatrix}
+0&1&1&0&1\\
+1&0&1&1&0\\
+1&1&0&1&0\\
+0&1&1&0&1\\
+1&0&0&1&0
+\end{pmatrix}$};
+\end{scope}
+
+\end{tikzpicture}
+\end{document}
+