Random hypergraph coloring algorithms and the weak chromatic number

Jeanette Schmidt‐Pruzan*, Eli Shamir, Eli Upfal

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

We present a hypergraph coloring algorithm and analyze its performance in spaces of random hypergrpahs. In these spaces the number of colors used by our algorithm is almost surely within a small constant factor (less than 2) of the weak chromatic number of the hypergraph. This also establishes new upper and lower bounds for the weak chromatic number of uniform hypergraphs.

Original languageEnglish
Pages (from-to)347-362
Number of pages16
JournalJournal of Graph Theory
Volume9
Issue number3
DOIs
StatePublished - 1985

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