Ascending waves

نویسندگان

  • Noga Alon
  • Joel H. Spencer
چکیده

A sequence of integers x, 1. Let g(n) be the largest integer k such that any set A c { 1,2, . . . . n} of cardinality IA( an/2 contains an ascending wave of length k. We show that there are two positive constants cj and c4 such that c,(log n)2/log log n < g(n) < c,(log n)2 for all n 2 1.

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

دوره 52  شماره 

صفحات  -

تاریخ انتشار 1989