Clique Partitions and Clique Coverings

P. Erdős, Ralph Faudree, Edward T. Ordman

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Several new tools are presented for determining the number of cliques needed to (edge-)partition a graph. For a graph on n vertices, the clique partition number can grow end times as fast as the clique covering number, where c is at least 1/64. If in a clique on n vertices, the edges between cna vertices are deleted,1/2≤a≤1, then the number of cliques needed to partition what is left is asymptotic to c2n2a; this fills in a gap between results of Wallis for a≤1/2 and Pullman and Donald for a=1, c≥1/2. Clique coverings of a clique minus a matching are also investigated.

Original languageEnglish
Pages (from-to)93-101
Number of pages9
JournalAnnals of Discrete Mathematics
Volume38
Issue numberC
DOIs
Publication statusPublished - 1988

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ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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