Obstructions for three-coloring graphs without induced paths on six vertices

نویسندگان

  • Maria Chudnovsky
  • Jan Goedgebeur
  • Oliver Schaudt
  • Mingxian Zhong
چکیده

We prove that there are 24 4-critical P6-free graphs, and give the complete list. We remark that, if H is connected and not a subgraph of P6, there are infinitely many 4-critical H-free graphs. Our result answers questions of Golovach et al. and Seymour.

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عنوان ژورنال:
  • CoRR

دوره abs/1504.06979  شماره 

صفحات  -

تاریخ انتشار 2015