Constructions of k-critical P5-free graphs

نویسندگان

  • Chính T. Hoàng
  • Brian Moore
  • Daniel Recoskie
  • Joe Sawada
  • Martin Vatshelle
چکیده

4 With respect to a class C of graphs, a graph G ∈ C is said to be k-critical if every proper 5 subgraph of G belonging to C is k−1 colorable. We construct an infinite set of k-critical P56 free graphs for every k ≥ 5. We also prove that there are exactly eight 5-critical {P5, C5}-free 7 graphs. 8

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عنوان ژورنال:
  • Discrete Applied Mathematics

دوره 182  شماره 

صفحات  -

تاریخ انتشار 2015