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Planar Graphs of Maximum Degree 6 and without Adjacent 8-Cycles Are 6-Edge-Colorable

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  • Wenwen Zhang
  • M. M. Bhatti

Abstract

In this paper, by applying the discharging method, we show that if G is a planar graph with a maximum degree of Δ=6 that does not contain any adjacent 8-cycles, then G is of class 1.

Suggested Citation

  • Wenwen Zhang & M. M. Bhatti, 2021. "Planar Graphs of Maximum Degree 6 and without Adjacent 8-Cycles Are 6-Edge-Colorable," Journal of Mathematics, Hindawi, vol. 2021, pages 1-10, June.
    • Handle: RePEc:hin:jjmath:3562513
    DOI: 10.1155/2021/3562513
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