| 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. 203-206 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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| pdf-source: | dmAE0140.pdf (97 K) |
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