When is an Almost Monochromatic K4 Guaranteed?

نویسندگان

  • Alexandr V. Kostochka
  • Dhruv Mubayi
چکیده

Suppose that n > (log k), where c is a fixed positive constant. We prove that no matter how the edges of Kn are colored with k colors, there is a copy of K4 whose edges receive at most two colors. This improves the previous best bound of k k, where c′ is a fixed positive constant, which follows from results on classical Ramsey numbers.

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عنوان ژورنال:
  • Combinatorics, Probability & Computing

دوره 17  شماره 

صفحات  -

تاریخ انتشار 2008