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On colouring random graphs

Published online by Cambridge University Press:  24 October 2008

G. R. Grimmett  and
C. J. H. McDiarmid
G. R. Grimmett
Affiliation:
Mathematical Institute, Oxford
C. J. H. McDiarmid
Affiliation:
Mathematical Institute, Oxford
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Abstract

Let ωn denote a random graph with vertex set {1, 2, …, n}, such that each edge is present with a prescribed probability p, independently of the presence or absence of any other edges. We show that the number of vertices in the largest complete subgraph of ωn is, with probability one,

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 77 , Issue 2 , March 1975 , pp. 313 - 324
Copyright
Copyright © Cambridge Philosophical Society 1975

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References

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