Pancyclicity mod k of claw-free graphs and K1, 4-free graphs

نویسندگان

  • Xiaotao Cai
  • Warren E. Shreve
چکیده

For any natural number k, a graph G is said to be pancyclic mod k if it contains a cycle of every length modulo k. In this paper, we show that every K1,4-free graph G with minimum degree δ(G) ≥ k+ 3 is pancyclic mod k and every claw-free graph G with δ(G) ≥ k+ 1 is pancyclic mod k, which confirms Thomassen’s conjecture [8] for claw-free graphs.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 230  شماره 

صفحات  -

تاریخ انتشار 2001