The Structure of Maximum Subsets of {1, ..., n} with No Solutions to a+b = kc

نویسندگان

  • Andreas Baltz
  • Peter Hegarty
  • Jonas Knape
  • Urban Larsson
  • Tomasz Schoen
چکیده

If k is a positive integer, we say that a set A of positive integers is k-sum-free if there do not exist a, b, c in A such that a + b = kc. In particular we give a precise characterization of the structure of maximum sized k-sum-free sets in {1, . . . , n} for k ≥ 4 and n large.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 12  شماره 

صفحات  -

تاریخ انتشار 2005