Joints in graphs

نویسندگان

  • Béla Bollobás
  • Vladimir Nikiforov
چکیده

In 1969 Erd1⁄2os proved that if r 2 and n > n0 (r) ; every graph G of order n and e (G) > tr (n) has an edge that is contained in at least nr 1= (10r) 6r cliques of order (r + 1) : In this note we improve this bound to nr 1=rr+5: We also prove a corresponding stability result.

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عنوان ژورنال:
  • Discrete Mathematics

دوره 308  شماره 

صفحات  -

تاریخ انتشار 2008