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authorAndreas Müller <andreas.mueller@othello.ch>2021-05-24 13:58:26 +0200
committerAndreas Müller <andreas.mueller@othello.ch>2021-05-24 13:58:26 +0200
commit18fb6543de96f23cfa254005a045e1595f48cff2 (patch)
treefba8334a4fbd7a3fa0b3a2244d52e660ffa38713 /buch/chapters/70-graphen/images
parentabschnitt spektrale Graphentheorie (diff)
downloadSeminarMatrizen-18fb6543de96f23cfa254005a045e1595f48cff2.tar.gz
SeminarMatrizen-18fb6543de96f23cfa254005a045e1595f48cff2.zip
Kapitel über spektrale Graphentheorie
Diffstat (limited to 'buch/chapters/70-graphen/images')
-rw-r--r--buch/chapters/70-graphen/images/Makefile5
-rw-r--r--buch/chapters/70-graphen/images/nine.pdfbin0 -> 2136 bytes
-rw-r--r--buch/chapters/70-graphen/images/nine.tex67
3 files changed, 71 insertions, 1 deletions
diff --git a/buch/chapters/70-graphen/images/Makefile b/buch/chapters/70-graphen/images/Makefile
index 8f98134..d34247b 100644
--- a/buch/chapters/70-graphen/images/Makefile
+++ b/buch/chapters/70-graphen/images/Makefile
@@ -4,7 +4,7 @@
# (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule
#
all: peterson.pdf adjazenzu.pdf adjazenzd.pdf kreis.pdf fundamental.pdf \
- petersonchrind.pdf
+ petersonchrind.pdf nine.pdf
peterson.pdf: peterson.tex
pdflatex peterson.tex
@@ -23,3 +23,6 @@ kreis.pdf: kreis.tex
fundamental.pdf: fundamental.tex
pdflatex fundamental.tex
+nine.pdf: nine.tex
+ pdflatex nine.tex
+
diff --git a/buch/chapters/70-graphen/images/nine.pdf b/buch/chapters/70-graphen/images/nine.pdf
new file mode 100644
index 0000000..2ae9f68
--- /dev/null
+++ b/buch/chapters/70-graphen/images/nine.pdf
Binary files differ
diff --git a/buch/chapters/70-graphen/images/nine.tex b/buch/chapters/70-graphen/images/nine.tex
new file mode 100644
index 0000000..f214c1e
--- /dev/null
+++ b/buch/chapters/70-graphen/images/nine.tex
@@ -0,0 +1,67 @@
+%
+% nine.tex -- Nine node graph to illustrate Wilf's theorem
+%
+% (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}
+\begin{document}
+\def\skala{1}
+\def\kante#1#2{
+ \draw[shorten >= 0.2cm,shorten <= 0.2cm] (#1) -- (#2);
+}
+\def\knoten#1#2{
+ \fill[color=#2!30] (#1) circle[radius=0.2];
+ \draw[color=#2] (#1) circle[radius=0.2];
+ \draw (#1) circle[radius=0.2];
+}
+\def\R{1.5}
+\definecolor{rot}{rgb}{1,0,0}
+\definecolor{gruen}{rgb}{0,0.6,0}
+\definecolor{blau}{rgb}{0,0,1}
+
+\begin{tikzpicture}[>=latex,thick,scale=\skala]
+
+\coordinate (A) at (0:\R);
+\coordinate (B) at (40:\R);
+\coordinate (C) at (80:\R);
+\coordinate (D) at (120:\R);
+\coordinate (E) at (160:\R);
+\coordinate (F) at (200:\R);
+\coordinate (G) at (240:\R);
+\coordinate (H) at (280:\R);
+\coordinate (I) at (320:\R);
+
+\knoten{A}{rot}
+\knoten{B}{blau}
+\knoten{C}{gruen}
+\knoten{D}{blau}
+\knoten{E}{rot}
+\knoten{F}{blau}
+\knoten{G}{rot}
+\knoten{H}{gruen}
+\knoten{I}{blau}
+
+\kante{A}{B}
+\kante{B}{C}
+\kante{C}{D}
+\kante{D}{E}
+\kante{E}{F}
+\kante{F}{G}
+\kante{G}{H}
+\kante{H}{I}
+\kante{I}{A}
+
+\kante{A}{C}
+\kante{A}{D}
+\kante{D}{G}
+
+
+\end{tikzpicture}
+\end{document}
+