On coloring graphs to maximize the proportion of multicolored k-edges

Paul Erdös, Daniel J. Kleitman

Research output: Contribution to journalArticle

37 Citations (Scopus)


The following results and some generalizations are obtained. Consider all colorings of the n vertices of a k-graph G into l colors. Then, if k is sufficiently large (k≥k0(r, l)), at least a proportion r of the k-edges of G will contain vertices colored in every color for any r<1.

Original languageEnglish
Pages (from-to)164-169
Number of pages6
JournalJournal of Combinatorial Theory
Issue number2
Publication statusPublished - Sep 1968


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