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author | Norbert Preining <norbert@preining.info> | 2020-03-10 03:01:27 +0000 |
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committer | Norbert Preining <norbert@preining.info> | 2020-03-10 03:01:27 +0000 |
commit | 877268a0de707a979be934d888518f6cc02d73a6 (patch) | |
tree | 30597445c86d75b20a836b6c90ab6c31b76d902e /macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Harries.tex | |
parent | 0561778af6f8fde0a3a1c334e2aab9a4f1142d6e (diff) |
CTAN sync 202003100301
Diffstat (limited to 'macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Harries.tex')
-rw-r--r-- | macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Harries.tex | 48 |
1 files changed, 0 insertions, 48 deletions
diff --git a/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Harries.tex b/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Harries.tex deleted file mode 100644 index 88e5ca6df8..0000000000 --- a/macros/latex/contrib/tkz/tkz-berge/NamedGraphs/doc/latex/NamedGraphs-Harries.tex +++ /dev/null @@ -1,48 +0,0 @@ -\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
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