From e1a7798f45cd37c0aa0bfaaef5f0acb4e48bc867 Mon Sep 17 00:00:00 2001
From: Norbert Preining <norbert@preining.info>
Date: Fri, 22 Jan 2021 03:00:46 +0000
Subject: CTAN sync 202101220300

---
 .../NamedGraphs/doc/latex/NamedGraphs-Folkman.tex  | 118 +++++++++++++++++++++
 1 file changed, 118 insertions(+)
 create mode 100644 macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Folkman.tex

(limited to 'macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Folkman.tex')

diff --git a/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Folkman.tex b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Folkman.tex
new file mode 100644
index 0000000000..2c357f15cc
--- /dev/null
+++ b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Folkman.tex
@@ -0,0 +1,118 @@
+\newpage\section{Folkman}\label{folkman}
+%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+%<––––––––––––––––––––    Folkman            –––––––––––––––––––––––––––––––>
+%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
+\begin{NewMacroBox}{grFolkman}{\oarg{options}}
+
+\medskip
+From MathWorld : \url{http://mathworld.wolfram.com/FolkmanGraph.html}
+
+\emph{The Folkman graph is a semisymmetric graph that has the minimum possible number of nodes 20.} 
+\href{http://mathworld.wolfram.com/topics/GraphTheory.html}%
+           {\textcolor{blue}{MathWorld}} by \href{http://en.wikipedia.org/wiki/Eric_W._Weisstein}%
+           {\textcolor{blue}{E.Weisstein}}
+\end{NewMacroBox}
+
+
+\subsection{\tkzname{Folkman Graph LCF embedding}}
+The code is
+
+\begin{tkzexample}[code only]
+\grLCF[RA=7]{5,-7,-7,5}{5}\end{tkzexample}
+
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}[scale=.8]
+      \GraphInit[vstyle=Art]
+      \SetGraphArtColor{blue}{darkgray}
+      \grFolkman[RA=6]
+ \end{tikzpicture}
+\end{tkzexample} 
+\end{center}
+
+\vfill\newpage
+
+
+\subsection{\tkzname{Folkman Graph embedding 1}}
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}[rotate=45]% 
+     \tikzstyle{VertexStyle} = [shape           = circle,
+                                shading         = ball,
+                                ball color      = gray!60,
+                                inner sep       = 3pt,
+                                draw]
+     \tikzstyle{EdgeStyle}  = [thick,orange]
+     \SetVertexNoLabel 
+     \grCycle[prefix=a,RA=3]{4}%
+     \grCycle[prefix=b,RA=4]{4}%
+     \grCycle[prefix=c,RA=5]{4}%
+     \grCycle[prefix=d,RA=6]{4}%
+     \grCycle[prefix=e,RA=7]{4}%
+     \foreach \r/\s/\t in {a/d/e,b/e/a,c/a/b,d/b/c,e/c/d}{%
+        \Edges(\r0,\s1,\r2,\t3,\r0)
+        }
+ \end{tikzpicture}
+\end{tkzexample} 
+\end{center}
+
+\vfill\newpage
+
+\subsection{\tkzname{Folkman Graph embedding 1 new code}}
+{  \tikzstyle{VertexStyle} =[shape        = circle,%
+                            shading       = ball,%
+                            inner sep     = 4pt,%
+                            draw]
+  \tikzstyle{EdgeStyle}  = [thin,blue]
+
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}
+\begin{scope}[shift={(1,1)},rotate=45]\grEmptyPath[prefix=a,RA=1]{5}
+  \end{scope}
+\begin{scope}[shift={(-1,1)},rotate=135]\grEmptyPath[prefix=b,RA=1]{5}
+  \end{scope}
+\begin{scope}[shift={(-1,-1)},rotate=225]\grEmptyPath[prefix=c,RA=1]{5}
+  \end{scope}
+\begin{scope}[shift={(1,-1)},rotate=315]\grEmptyPath[prefix=d,RA=1]{5}
+  \end{scope}
+  \EdgeIdentity*{a}{b}{0,...,4}  \EdgeIdentity*{b}{c}{0,...,4}
+  \EdgeIdentity*{c}{d}{0,...,4}  \EdgeIdentity*{d}{a}{0,...,4}
+  \EdgeDoubleMod{a}{5}{0}{1}{b}{5}{3}{1}{1}
+  \EdgeDoubleMod{a}{5}{2}{1}{b}{5}{0}{1}{2}
+  \EdgeDoubleMod{a}{5}{1}{1}{d}{5}{0}{1}{3}
+  \EdgeDoubleMod{c}{5}{2}{1}{b}{5}{0}{1}{2}
+  \EdgeDoubleMod{c}{5}{0}{1}{b}{5}{3}{1}{1}
+  \EdgeDoubleMod{c}{5}{1}{1}{d}{5}{0}{1}{3}
+  \Edges(a0,d4,c0)
+ \end{tikzpicture}
+\end{tkzexample} 
+\end{center}
+}
+\vfill\newpage
+
+\subsection{\tkzname{Folkman Graph embedding 3}}
+
+\begin{center}
+\begin{tkzexample}[vbox]
+\begin{tikzpicture}[scale=.8]
+   \SetVertexNoLabel
+   \tikzstyle{VertexStyle} = [shape           = circle,
+                              shading         = ball,
+                              ball color      = gray!60,
+                              inner sep       = 3pt,
+                              draw]
+   \tikzstyle{EdgeStyle}    = [thick,orange]  
+   \grEmptyCycle[prefix=a,RA=1.85]{5} \grEmptyCycle[prefix=b,RA=3.7]{5}
+   \grCycle[prefix=c,RA=6]{10}
+   \EdgeDoubleMod{a}{5}{0}{1}{b}{5}{1}{1}{4}
+   \EdgeDoubleMod{a}{5}{0}{1}{b}{5}{4}{1}{4}
+   \EdgeDoubleMod{b}{5}{0}{1}{c}{10}{9}{2}{4}
+   \EdgeDoubleMod{b}{5}{0}{1}{c}{10}{1}{2}{4}
+   \EdgeDoubleMod{a}{5}{0}{1}{c}{10}{8}{2}{4}
+   \EdgeDoubleMod{a}{5}{0}{1}{c}{10}{2}{2}{4}
+\end{tikzpicture}
+\end{tkzexample}
+\end{center}
+
+\endinput
\ No newline at end of file
-- 
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