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Diffstat (limited to 'macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Franklin.tex')
-rw-r--r-- | macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Franklin.tex | 71 |
1 files changed, 0 insertions, 71 deletions
diff --git a/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Franklin.tex b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Franklin.tex deleted file mode 100644 index b7f5bc4d66..0000000000 --- a/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Franklin.tex +++ /dev/null @@ -1,71 +0,0 @@ -\newpage\section{Franklin}\label{franklin} -%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> -%<––––––––––––––––––––––––––––– Franklin ––––––––––––––––––––––––––––––––> -%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> -\begin{NewMacroBox}{grFranklin}{\oarg{options}} - -\medskip -From MathWord : \url{http://mathworld.wolfram.com/FranklinGraph.html} - -\emph{The Franklin graph is the 12-vertex cubic graph shown above whose embedding on the Klein bottle divides it into regions having a minimal coloring using six colors, thus providing the sole counterexample to the Heawood conjecture.} -\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}} - -\medskip -The Franklin graph is implemented in \tkzname{tkz-berge} as \tkzcname{grFranklin}. -\end{NewMacroBox} - -\tikzstyle{VertexStyle} = [shape = circle,% - color = white, - fill = black, - very thin, - inner sep = 0pt,% - minimum size = 18pt, - draw] -\tikzstyle{EdgeStyle} = [thick,% - double = brown,% - double distance = 1pt] -\newcounter{tempi}\setcounter{tempi}{0} - -\subsection{\tkzname{The Franklin graph : embedding 1}} -\begin{center} -\begin{tkzexample}[vbox] -\begin{tikzpicture}[scale=.7] - \grFranklin[Math,RA=7] - \end{tikzpicture} -\end{tkzexample} -\end{center} - -\vfill\newpage -\subsection{\tkzname{The Franklin graph : embedding 2}} - -\begin{center} -\begin{tkzexample}[vbox] -\begin{tikzpicture} - \grCycle[Math,RA=4,prefix=a]{6} - \grCycle[Math,RA=6,prefix=b]{6} - \foreach \x in {0,...,5}{% - \ifthenelse{\isodd{\x}}{% - \pgfmathsetcounter{tempi}{\x-1}}{% - \pgfmathsetcounter{tempi}{\x+1}} - \Edge(a\x)(b\thetempi) -} - \end{tikzpicture} -\end{tkzexample} -\end{center} - - -\vfill\newpage -\subsection{\tkzname{The Franklin graph : with LCF notation embedding 3}} - -\space*{2cm} -\begin{center} -\begin{tkzexample}[vbox] -\begin{tikzpicture} - \grLCF[Math,RA=7]{-5,-3,3,5}{3} - \end{tikzpicture} -\end{tkzexample} -\end{center} - -\endinput |