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Upper Bounds for Turán Numbers

✍ Scribed by Alexander Sidorenko

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
549 KB
Volume
77
Category
Article
ISSN
0097-3165

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✦ Synopsis

A system of r-element subsets (blocks) of an n-element set X n is called a Tura n (n, k, r)-system if every k-element subset of X n contains at least one of the blocks. The Tura n number T(n, k, r) is the minimum size of such a system. We prove upper estimates:

  • as n Ä , r Ä , k=(#+o(1))r, #>1.

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