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diff --git a/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Cocktail_Party.tex b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Cocktail_Party.tex new file mode 100644 index 0000000000..3ed5e45ced --- /dev/null +++ b/obsolete/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Cocktail_Party.tex @@ -0,0 +1,50 @@ +\newpage\section{Cocktail Party graph}\label{cocktail} +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––– Cocktail Party –––––––––––––––––––––––––––> +%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––> +\begin{NewMacroBox}{grCocktailParty}{\oarg{options}\var{integer}} + +\medskip +From MathWord : \url{http://mathworld.wolfram.com/CocktailPartyGraph.html} + +\emph{The cocktail party graph of order , also called the hyperoctahedral graph (Biggs 1993, p. 17) is the graph consisting of two rows of paired nodes in which all nodes but the paired ones are connected with a graph edge. It is the graph complement of the ladder graph , and the dual graph of the hypercube graph.\hfill\break +This graph arises in the handshake problem. It is a complete n-partite graph that is denoted by Brouwer et al. (1989, pp. 222-223), and is distance-transitive, and hence also distance-regular.\hfill\break +The cocktail party graph of order is isomorphic to the circulant graph.} +\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 Chvátal graph is implemented in \tkzname{tkz-berge} as \tkzcname{grCocktailParty} with two forms. +\end{NewMacroBox} + +\subsection{\tkzname{Cocktail Party graph form 1 }} +\tikzstyle{VertexStyle} = [shape = circle, + shading = ball,% + ball color = green,% + minimum size = 24pt,% + draw] +\SetVertexMath +\tikzstyle{EdgeStyle} = [thick,% + double = orange,% + double distance = 1pt] +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture} + \grCocktailParty[RA=3,RS=5]{4} + \end{tikzpicture} +\end{tkzexample} +\end{center} + +\vfill\newpage +\subsection{\tkzname{Cocktail Party graph form 2 }} + +\vspace*{2cm} +\begin{center} + \begin{tkzexample}[vbox] + \begin{tikzpicture} + \grCocktailParty[form=2,RA=4,RS=6]{4} + \end{tikzpicture} +\end{tkzexample} +\end{center} +\endinput |