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Choosability with separation of planar graphs without prescribed cycles

Author

Listed:
  • Chen, Min
  • Fan, Yingying
  • Raspaud, André
  • Shiu, Wai Chee
  • Wang, Weifan

Abstract

In terms of constraining the list assignment, one refinement of k-choosability is considered as choosability with separation. We call a graph (k, d)-choosable if it is colorable from lists of size k where adjacent vertices have at most d common colors in their lists. If two cycles have exactly one common edge, then they are said to be normally adjacent.

Suggested Citation

  • Chen, Min & Fan, Yingying & Raspaud, André & Shiu, Wai Chee & Wang, Weifan, 2020. "Choosability with separation of planar graphs without prescribed cycles," Applied Mathematics and Computation, Elsevier, vol. 367(C).
    • Handle: RePEc:eee:apmaco:v:367:y:2020:i:c:s0096300319307489
    DOI: 10.1016/j.amc.2019.124756
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