Planar graphs with maximum degree 4 are strongly 19-edge-colorable

Ying Wang, Wai Chee SHIU*, Weifan Wang, Min Chen

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)

Abstract

A strong edge-coloring of a graph is a proper edge-coloring such that edges at distance at most 2 receive different colors. It is known that every planar graph has a strong edge-coloring by using at most 4Δ+4 colors, where Δ denotes the maximum degree of the graph. In this paper, we will show that 19 colors are enough to color a planar graph with maximum degree 4.

Original languageEnglish
Pages (from-to)1629-1635
Number of pages7
JournalDiscrete Mathematics
Volume341
Issue number6
DOIs
Publication statusPublished - Jun 2018

Scopus Subject Areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

User-Defined Keywords

  • Discharging method
  • Plane graph
  • Strong chromatic index
  • Strong edge-coloring

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