Irregular assignments and vertex-distinguishing edge-colorings of graphs

M. Aigner, E. Triesch, Z. Tuza

Research output: Contribution to journalArticle

40 Citations (Scopus)

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 - 1992

Fingerprint

Edge Coloring
Colouring
Irregular
Assignment
Graph in graph theory
Vertex of a graph
Regular Graph
Star
Necessary
Color

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

Cite this

Irregular assignments and vertex-distinguishing edge-colorings of graphs. / Aigner, M.; Triesch, E.; Tuza, Z.

In: Annals of Discrete Mathematics, Vol. 52, No. C, 1992, p. 1-9.

Research output: Contribution to journalArticle

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