Sieve methods in combinatorics

نویسندگان

  • Yu-Ru Liu
  • M. Ram Murty
چکیده

We develop the Turán sieve and a ‘simple sieve’ in the context of bipartite graphs and apply them to various problems in combinatorics. More precisely, we provide applications in the cases of characters of abelian groups, vertex-colourings of graphs, Latin squares, connected graphs, and generators of groups. In addition, we give a spectral interpretation of the Turán sieve. © 2004 Elsevier Inc. All rights reserved.

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

دوره 111  شماره 

صفحات  -

تاریخ انتشار 2005