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On the clique number of a random overlap graph

Part of: Graph theory

Published online by Cambridge University Press:  14 July 2016

Tomasz Łuczak  and
Zbigniew Palka
Tomasz Łuczak
Affiliation:
Adam Mickiewicz University, Poznan
Zbigniew Palka
Affiliation:
Adam Mickiewicz University, Poznan
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Abstract

The behaviour of the size of the largest complete subgraph contained in an overlap graph of a random acyclic digraph is presented.

Keywords

ACYCLIC DIGRAPH

MSC classification

Primary: 05C80: Random graphs
Secondary: 05C20: Directed graphs (digraphs), tournaments
Type
Short Communications
Information
Journal of Applied Probability , Volume 31 , Issue 2 , June 1994 , pp. 582 - 588
Copyright
Copyright © Applied Probability Trust 1994 

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Footnotes

∗

Research partially supported by KBN grant 2 1087 91 01.

∗∗

Supported in part by U.S. National Science Foundation grant BSR 87-05047 to Rockefeller University (principal investigator Joel E. Cohen).

References

[1] Andrews, G. E. (1976) The Theory of Partitions. Addison-Wesley, Reading. MA.Google Scholar
[2] Bollobás, B. (1985) Random Graphs. Academic Press, London.Google Scholar
[3] Cohen, J. and Palka, Z. (1990) A stochastic theory of community food webs: V. Intervality and triangulation in the trophic niche overlap graph. Amer. Naturalist 135, 435–463.CrossRefGoogle Scholar
[4] Erdös, P. and Rényi, A. (1960) On the evolution of random graphs. Magyar Tud. Akad. Mat. Kutató Int. Közl. 5, 17–61.Google Scholar