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An Upper Bound on Zarankiewicz' Problem

Published online by Cambridge University Press:  12 September 2008

Zoltán Füredi
Zoltán Füredi
Affiliation:
Department of Mathematics, University of Illinois at Urbana-Champaign, Urbana, IL 61801-2975, USA and Mathematical Institute of the Hungarian Academy of Sciences, PO Box 127, Budapest 1364, Hungary
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Abstract

Let ex(n, K3,3) denote the maximum number of edges of a K3,3-free graph on n vertices. Improving earlier results of Kővári, T. Sós and Turán on Zarankiewicz' problem, we obtain that Brown's example for a maximal K3,3-free graph is asymptotically optimal. Hence .

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 5 , Issue 1 , March 1996 , pp. 29 - 33
Copyright
Copyright © Cambridge University Press 1996

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