Random cubic graphs are not homomorphic to the cycle of size 7

نویسنده

  • Hamed Hatami
چکیده

We prove that a random cubic graph almost surely is not homomorphic to a cycle of size 7. This implies that there exist cubic graphs of arbitrarily high girth with no homomorphisms to the cycle of size 7.

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عنوان ژورنال:
  • J. Comb. Theory, Ser. B

دوره 93  شماره 

صفحات  -

تاریخ انتشار 2005