Dense H-Free Graphs are Almost (χ(H)-1)-Partite

نویسنده

  • Peter Allen
چکیده

By using the Szemerédi Regularity Lemma [10], Alon and Sudakov [1] recently extended the classical Andrásfai-Erdős-Sós theorem [2] to cover general graphs. We prove, without using the Regularity Lemma, that the following stronger statement is true. Given any (r+1)-partite graph H whose smallest part has t vertices, there exists a constant C such that for any given ε > 0 and sufficiently large n the following is true. Whenever G is an n-vertex graph with minimum degree

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 17  شماره 

صفحات  -

تاریخ انتشار 2010