Covering the Complete Graph by Partitions

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

A (D, c)-coloring of the complete graph Kn is a coloring of the edges with c colors such that all monochromatic connected subgraphs have at most D vertices. Resolvable block designs with c parallel classes and with block size D are natural examples of (D, c)-colorings. However, (D, c)-colorings are more relaxed structures. We investigate the largest n such that Kn has a (D, c)-coloring. Our main tool is the fractional matching theory of hypergraphs.

Original languageEnglish
Pages (from-to)217-226
Number of pages10
JournalAnnals of Discrete Mathematics
Volume43
Issue numberC
DOIs
Publication statusPublished - Jan 1 1989

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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