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authorNorbert Preining <norbert@preining.info>2020-03-10 03:01:27 +0000
committerNorbert Preining <norbert@preining.info>2020-03-10 03:01:27 +0000
commit877268a0de707a979be934d888518f6cc02d73a6 (patch)
tree30597445c86d75b20a836b6c90ab6c31b76d902e /macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Harries.tex
parent0561778af6f8fde0a3a1c334e2aab9a4f1142d6e (diff)
CTAN sync 202003100301
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-\newpage\section{Harries graph}\label{harries}
-%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-%<––––––––––––––––––––––––––––– Nauru ––––––––––––––––––––––––––––––––>
-%<––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––>
-\begin{NewMacroBox}{grHarries}{\oarg{options}}
-
-From Wikipedia \url{http://en.wikipedia.org/wiki/Harries_graph}
-
-\emph{In the mathematical field of graph theory, the Harries graph or Harries (3-10)-cage is a 3-regular undirected graph with 70 vertices and 105 edges.
-The Harries graph has chromatic number 2, chromatic index 3, radius 6, diameter 6, girth 10 and is Hamiltonian. It is also a 3-vertex-connected and 3-edge-connected non-planar cubic graph.}
-
-\medskip
-From MathWorld \url{http://mathworld.wolfram.com/HarriesGraph.html}
-
-\emph{The Harries graph has 678 distinct LCF notations, two of which are order 5 (illustrated below) and 674 of which are order 1..}
-\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{Harries graph} with \tkzcname{grHarries}}
-
-The macro uses the LCF notation : $\big[-29,-19,-13,13,21,-27,27,33,-13,13,19,-21,-33,29\big]^5$
-
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}%
- \GraphInit[vstyle=Art]
- \grHarries[RA=7]
- \end{tikzpicture}
-\end{tkzexample}
-\end{center}
-
-
-\subsection{\tkzname{Harries graph with LCF notation}}
-It can be also represented in LCF notation as $\big[-35,9,15,-15,23,-27,27,-35,15,-15,-9,-27,27,-23\big]^5$
-
-\begin{center}
-\begin{tkzexample}[vbox]
-\begin{tikzpicture}%
- \GraphInit[vstyle=Art]
- \grLCF[RA=7]{-35,9,15,-15,23,-27,27,-35,15,-15,-9,-27,27,-23}{5}%
- \end{tikzpicture}
-\end{tkzexample}
-\end{center}
-
-
-\vfill\endinput \ No newline at end of file