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Strong Edge-Coloring of Pseudo-Halin Graphs

  • Xiangwen LiEmail author
  • Jian-Bo Lv
Article
  • 32 Downloads

Abstract

A strong edge-coloring of a graph G is a proper edge-coloring such that every path of length 3 uses three different colors. The strong chromatic index of a graph G, denoted by \(\chi _{s}^\prime (G)\), is the minimum number of colors needed for a strong edge-coloring of G. In this paper, we show that \(\chi _{s}^\prime (G)\le 3\Delta -2\) for any pseudo-Halin graph G with \(\Delta \ge 4\).

Keywords

Strong edge-coloring Strong chromatic index Halin graphs Pseudo-Halin graphs 

Notes

Acknowledgements

The authors would like to thank the anonymous referees for the valuable comments which improve the presentation.

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Copyright information

© Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2019

Authors and Affiliations

  1. 1.Department of MathematicsCentral China Normal UniversityWuhanChina
  2. 2.Department of MathematicsGuangxi Normal UniversityGuilinChina

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