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Maximal-clique partitions of interval graphs

Part of: Graph theory

Published online by Cambridge University Press:  09 April 2009

Ma Shaohan  and
W. D. Wallis
Ma Shaohan
Affiliation:
Department of Computer Science, Shandong UniversityJinan People's Republic of China
W. D. Wallis
Affiliation:
Department of MathematicsSouthern Illinois UniversityCarbondale, Illinois 62901, U.S.A.
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Abstract

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It is shown that if an interval graph possesses a maximal-clique partition then its clique covering and clique partition numbers are equal, and equal to the maximal-clique partition number. Moreover an interval graph has such a partition if and only if all its maximal cliques are edge-disjoint.

MSC classification

Secondary: 05C35: Extremal problems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 45 , Issue 2 , October 1988 , pp. 227 - 232
Copyright
Copyright © Australian Mathematical Society 1988

References

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