2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05)
Stefan Felsner (ed.)
DMTCS Conference Volume AE (2005), pp. 203206
author:  Kathie Cameron and Jack Edmonds 

title:  Finding a Strong Stable Set or a Meyniel Obstruction in any Graph 
keywords:  stable set, independent set, graph colouring, Meyniel graph, perfect graph 
abstract: 
A strong stable set in a graph
G
is a stable set that contains a vertex of every
maximal clique of
G
. A Meyniel obstruction is an odd circuit with at
least five vertices and at most one chord. Given a graph
G
and a vertex
v
of
G
, we give a polytime algorithm to find either a
strong stable set containing
v
or a Meyniel obstruction in
G
. This can then be used to find in any graph, a
clique and colouring of the same size or a Meyniel
obstruction.

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reference:  Kathie Cameron and Jack Edmonds (2005), Finding a Strong Stable Set or a Meyniel Obstruction in any Graph, in 2005 European Conference on Combinatorics, Graph Theory and Applications (EuroComb '05), Stefan Felsner (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AE, pp. 203206 
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