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Combinatorica

, Volume 14, Issue 3, pp 335–343 | Cite as

Greedy maximum-clique decompositions

  • Sean McGuinness
Article

Abstract

A greedy clique decomposition of a graph is obtained by removing maximal cliques from a graph one by one until the graph is empty. We have recently shown that any greedy clique decomposition of a graph of ordern has at mostn2/4 cliques. A greedy max-clique decomposition is a particular kind cf greedy clique decomposition where maximum cliques are removed, instead of just maximal ones. In this paper, we show that any greedy max-clique decompositionC of a graph of ordern has
, wheren(C) is the number of vertices inC.

AMS subject classification code (1991)

05 C 35 

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Copyright information

© Akadémiai Kiadó 1994

Authors and Affiliations

  • Sean McGuinness
    • 1
  1. 1.Department of Mathematics and Computer ScienceOdense UniversityOdenseDenmark

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