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Planar Graphs with the Distance of 6 - -Cycles at Least 2 from Each Other Are DP-3-Colorable

Author

Listed:
  • Yueying Zhao

    (School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China
    School of Mathematics and Statistics, Xuzhou University of Technology, Xuzhou 221000, China)

  • Lianying Miao

    (School of Mathematics, China University of Mining and Technology, Xuzhou 221116, China)

Abstract

DP-coloring as a generalization of list coloring was introduced by Dvořák and Postle recently. In this paper, we prove that every planar graph in which the distance between 6 − -cycles is at least 2 is DP-3-colorable, which extends the result of Yin and Yu [Discret. Math. 2019, 342, 2333–2341].

Suggested Citation

  • Yueying Zhao & Lianying Miao, 2020. "Planar Graphs with the Distance of 6 - -Cycles at Least 2 from Each Other Are DP-3-Colorable," Mathematics, MDPI, vol. 9(1), pages 1-10, December.
    • Handle: RePEc:gam:jmathe:v:9:y:2020:i:1:p:70-:d:472601
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