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| -rw-r--r-- | buch/chapters/70-graphen/images/Makefile | 5 | ||||
| -rw-r--r-- | buch/chapters/70-graphen/images/petersonchrind.pdf | bin | 0 -> 15217 bytes | |||
| -rw-r--r-- | buch/chapters/70-graphen/images/petersonchrind.tex | 142 |
3 files changed, 146 insertions, 1 deletions
diff --git a/buch/chapters/70-graphen/images/Makefile b/buch/chapters/70-graphen/images/Makefile index bd77756..8f98134 100644 --- a/buch/chapters/70-graphen/images/Makefile +++ b/buch/chapters/70-graphen/images/Makefile @@ -3,11 +3,14 @@ # # (c) 2021 Prof Dr Andreas Müller, OST Ostschweizer Fachhochschule # -all: peterson.pdf adjazenzu.pdf adjazenzd.pdf kreis.pdf fundamental.pdf +all: peterson.pdf adjazenzu.pdf adjazenzd.pdf kreis.pdf fundamental.pdf \ + petersonchrind.pdf peterson.pdf: peterson.tex pdflatex peterson.tex +petersonchrind.pdf: petersonchrind.tex + pdflatex petersonchrind.tex adjazenzu.pdf: adjazenzu.tex pdflatex adjazenzu.tex diff --git a/buch/chapters/70-graphen/images/petersonchrind.pdf b/buch/chapters/70-graphen/images/petersonchrind.pdf Binary files differnew file mode 100644 index 0000000..23ef6e9 --- /dev/null +++ b/buch/chapters/70-graphen/images/petersonchrind.pdf diff --git a/buch/chapters/70-graphen/images/petersonchrind.tex b/buch/chapters/70-graphen/images/petersonchrind.tex new file mode 100644 index 0000000..4ae9f39 --- /dev/null +++ b/buch/chapters/70-graphen/images/petersonchrind.tex @@ -0,0 +1,142 @@ +% +% tikztemplate.tex -- template for standalon tikz images +% +% (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} +\begin{tikzpicture}[>=latex,thick,scale=\skala] + +\def\Ra{2} +\def\Ri{1} +\def\e{1.0} +\def\r{0.2} + +\begin{scope}[xshift=-3.5cm] + +\definecolor{rot}{rgb}{0.8,0,0.8} +\definecolor{gruen}{rgb}{0.2,0.6,0.2} +\definecolor{blau}{rgb}{1,0.6,0.2} + +\coordinate (PA) at ({\Ri*sin(0*72)},{\e*\Ri*cos(0*72)}); +\coordinate (PB) at ({\Ri*sin(1*72)},{\e*\Ri*cos(1*72)}); +\coordinate (PC) at ({\Ri*sin(2*72)},{\e*\Ri*cos(2*72)}); +\coordinate (PD) at ({\Ri*sin(3*72)},{\e*\Ri*cos(3*72)}); +\coordinate (PE) at ({\Ri*sin(4*72)},{\e*\Ri*cos(4*72)}); + +\coordinate (QA) at ({\Ra*sin(0*72)},{\e*\Ra*cos(0*72)}); +\coordinate (QB) at ({\Ra*sin(1*72)},{\e*\Ra*cos(1*72)}); +\coordinate (QC) at ({\Ra*sin(2*72)},{\e*\Ra*cos(2*72)}); +\coordinate (QD) at ({\Ra*sin(3*72)},{\e*\Ra*cos(3*72)}); +\coordinate (QE) at ({\Ra*sin(4*72)},{\e*\Ra*cos(4*72)}); + +\draw (PA)--(PC)--(PE)--(PB)--(PD)--cycle; +\draw (QA)--(QB)--(QC)--(QD)--(QE)--cycle; +\draw (PA)--(QA); +\draw (PB)--(QB); +\draw (PC)--(QC); +\draw (PD)--(QD); +\draw (PE)--(QE); + +\fill[color=blau] (PA) circle[radius=\r]; +\fill[color=rot] (PB) circle[radius=\r]; +\fill[color=rot] (PC) circle[radius=\r]; +\fill[color=gruen] (PD) circle[radius=\r]; +\fill[color=gruen] (PE) circle[radius=\r]; + +\fill[color=rot] (QA) circle[radius=\r]; +\fill[color=blau] (QB) circle[radius=\r]; +\fill[color=gruen] (QC) circle[radius=\r]; +\fill[color=rot] (QD) circle[radius=\r]; +\fill[color=blau] (QE) circle[radius=\r]; + +\draw (PA) circle[radius=\r]; +\draw (PB) circle[radius=\r]; +\draw (PC) circle[radius=\r]; +\draw (PD) circle[radius=\r]; +\draw (PE) circle[radius=\r]; + +\draw (QA) circle[radius=\r]; +\draw (QB) circle[radius=\r]; +\draw (QC) circle[radius=\r]; +\draw (QD) circle[radius=\r]; +\draw (QE) circle[radius=\r]; + +\node at (0,{-\Ra}) [below] {$\operatorname{chr}P=3\mathstrut$}; + +\end{scope} + +\begin{scope}[xshift=3.5cm] +\definecolor{rot}{rgb}{0.8,0,0.8} +\definecolor{gruen}{rgb}{0.2,0.6,0.2} +\definecolor{blau}{rgb}{1,0.6,0.2} +\definecolor{gelb}{rgb}{0,0,1} + +\coordinate (PA) at ({\Ri*sin(0*72)},{\e*\Ri*cos(0*72)}); +\coordinate (PB) at ({\Ri*sin(1*72)},{\e*\Ri*cos(1*72)}); +\coordinate (PC) at ({\Ri*sin(2*72)},{\e*\Ri*cos(2*72)}); +\coordinate (PD) at ({\Ri*sin(3*72)},{\e*\Ri*cos(3*72)}); +\coordinate (PE) at ({\Ri*sin(4*72)},{\e*\Ri*cos(4*72)}); + +\coordinate (QA) at ({\Ra*sin(0*72)},{\e*\Ra*cos(0*72)}); +\coordinate (QB) at ({\Ra*sin(1*72)},{\e*\Ra*cos(1*72)}); +\coordinate (QC) at ({\Ra*sin(2*72)},{\e*\Ra*cos(2*72)}); +\coordinate (QD) at ({\Ra*sin(3*72)},{\e*\Ra*cos(3*72)}); +\coordinate (QE) at ({\Ra*sin(4*72)},{\e*\Ra*cos(4*72)}); + +\draw (PA)--(PC)--(PE)--(PB)--(PD)--cycle; +\draw (QA)--(QB)--(QC)--(QD)--(QE)--cycle; +\draw (PA)--(QA); +\draw (PB)--(QB); +\draw (PC)--(QC); +\draw (PD)--(QD); +\draw (PE)--(QE); + +\fill[color=rot] (QA) circle[radius={1.5*\r}]; +\fill[color=rot!40] (QB) circle[radius=\r]; +\fill[color=rot!40] (QE) circle[radius=\r]; +\fill[color=rot!40] (PA) circle[radius=\r]; + +\fill[color=blau] (PB) circle[radius={1.5*\r}]; +\fill[color=blau!40] (PD) circle[radius=\r]; +\fill[color=blau!40] (PE) circle[radius=\r]; +\fill[color=blau!80,opacity=0.5] (QB) circle[radius=\r]; + +\fill[color=gruen] (PC) circle[radius={1.5*\r}]; +\fill[color=gruen!40] (QC) circle[radius=\r]; +\fill[color=gruen!80,opacity=0.5] (PA) circle[radius=\r]; +\fill[color=gruen!80,opacity=0.5] (PE) circle[radius=\r]; + +\fill[color=gelb] (QD) circle[radius={1.5*\r}]; +\fill[color=gelb!80,opacity=0.5] (QC) circle[radius=\r]; +\fill[color=gelb!80,opacity=0.5] (QE) circle[radius=\r]; +\fill[color=gelb!80,opacity=0.5] (PD) circle[radius=\r]; + +\draw (PA) circle[radius=\r]; +\draw (PB) circle[radius={1.5*\r}]; +\draw (PC) circle[radius={1.5*\r}]; +\draw (PD) circle[radius=\r]; +\draw (PE) circle[radius=\r]; + +\draw (QA) circle[radius={1.5*\r}]; +\draw (QB) circle[radius=\r]; +\draw (QC) circle[radius=\r]; +\draw (QD) circle[radius={1.5*\r}]; +\draw (QE) circle[radius=\r]; + +\node at (0,{-\Ra}) [below] {$\operatorname{ind}P=4\mathstrut$}; + +\end{scope} + + + +\end{tikzpicture} +\end{document} + |