Sparse halves in triangle-free graphs

نویسندگان

  • Peter Keevash
  • Benny Sudakov
چکیده

One of Erdős’ favourite conjectures was that any triangle-free graph G on n vertices should contain a set of n/2 vertices that spans at most n2/50 edges. We prove this when the number of edges in G is either at most n2/12 or at least n2/5. © 2005 Elsevier Inc. All rights reserved.

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

دوره 96  شماره 

صفحات  -

تاریخ انتشار 2006