Irregular assignments and vertex-distinguishing edge-colorings of graphs

M. Aigner, E. Triesch, Z. Tuza

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Abstract

A coloring g: E(G) →C of the edge-set of a graph G into a color-set C is called vertex-distinguishing if g(St(u)) ≠g(St(v)) for any two stars. Let c(G) be the minimal number of colors necessary for such a coloring. For k-regular graphs G we clearly have c(G) ≥ C1n1/k, where n is the order of G. We prove c(G) ≤ C2n1/k, and for k = 2, c(G)≤ 9/√2 √n+C.

Original languageEnglish
Pages (from-to)1-9
Number of pages9
JournalAnnals of Discrete Mathematics
Volume52
Issue numberC
DOIs
Publication statusPublished - Jan 1 1992

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ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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