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A characterization of normal fraternally orientable perfect graphs

✍ Scribed by H. Galeana-Sánchez


Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
255 KB
Volume
169
Category
Article
ISSN
0012-365X

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✦ Synopsis


While the famous Berge's Strong Perfect Graph Conjecture remains a major unsolved problem in Graph Theory, the following alternative characterization of perfect graphs was conjectured in 1982 by C. Berge and P. Duchet: A graph G is perfect if and only if any normal orientation of G is kernel-perfect. In this paper I prove the validity of a version of this conjecture for graphs which accept a normal fraternal orientation.


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