Algorithms for finding distance-edge-colorings of graphs

Takehiro Ito, Akira Kato, Xiao Zhou, Takao Nishizeki

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

For a bounded integer ℓ, we wish to color all edges of a graph G so that any two edges within distance ℓ have different colors. Such a coloring is called a distance-edge-coloring or an ℓ-edge-coloring of G. The distance-edge-coloring problem is to compute the minimum number of colors required for a distance-edge-coloring of a given graph G. A partial k-tree is a graph with tree-width bounded by a fixed constant k. We first present a polynomial-time exact algorithm to solve the problem for partial k-trees, and then give a polynomial-time 2-approximation algorithm for planar graphs.

Original languageEnglish
Pages (from-to)304-322
Number of pages19
JournalJournal of Discrete Algorithms
Volume5
Issue number2 SPEC. ISS.
DOIs
Publication statusPublished - 2007 Jun

Keywords

  • Algorithm
  • Approximation algorithm
  • Distance-edge-coloring
  • Partial k-trees
  • Planar graphs

ASJC Scopus subject areas

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

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