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Ks-Free Graphs Without Large Kr-Free Subgraphs

Published online by Cambridge University Press:  12 September 2008

Michael Krivelevich
Michael Krivelevich
Affiliation:
Department of Mathematics, Technion – Israel Institute of Technology, Haifa 32000, Israel e-mail: [email protected]
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Abstract

The main result of this paper is that for every 2 ≤ r < s, and n sufficiently large, there exist graphs of order n, not containing a complete graph on s vertices, in which every relatively not too small subset of vertices spans a complete graph on r vertices. Our results improve on previous results of Bollobás and Hind.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 3 , Issue 3 , September 1994 , pp. 349 - 354
Copyright
Copyright © Cambridge University Press 1994

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