Hypergraph coverings and local colorings

Yair Caro, Zsolt Tuza

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

If the edge sets of some r-uniform hypergraphs H1, ..., Ht contain all the r-tuples of an n-element set, and each Hi has chromatic number at most k, then for the sum of the orders of the Hi we have Σ|V(Hi)| ≥ (n log ( n (r - 1))) log k. In particular, if Kn r has an edge coloring such that each vertex is incident to edges of at most s colors and every monochromatic class of edges forms a k-vertex-colorable hypergraph, then n ≤ (r - 1) ks. Both bounds are sharp.

Original languageEnglish
Pages (from-to)79-85
Number of pages7
JournalJournal of Combinatorial Theory, Series B
Volume52
Issue number1
DOIs
Publication statusPublished - May 1991

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics
  • Computational Theory and Mathematics

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