Open AccessHadwiger's Conjecture for 3-Arc Graphs
Author(s) -
David R. Wood,
Guangjun Xu,
Sanming Zhou
Publication year - 2016
Publication title -
the electronic journal of combinatorics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.703
H-Index - 52
eISSN - 1097-1440
pISSN - 1077-8926
DOI - 10.37236/5134
Subject(s) - combinatorics , digraph , conjecture , mathematics , arc (geometry) , graph , discrete mathematics , geometry
The 3-arc graph of a digraph $D$ is defined to have vertices the arcs of $D$ such that two arcs $uv, xy$ are adjacent if and only if $uv$ and $xy$ are distinct arcs of $D$ with $v\ne x$, $y\ne u$ and $u,x$ adjacent. We prove Hadwiger's conjecture for 3-arc graphs.
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