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The Ramsey number for stripes

Published online by Cambridge University Press:  09 April 2009

E. J. Cockayne  and
P. J. Lorimer
E. J. Cockayne
Affiliation:
Department of Mathematics, University of AucklandNew Zealand
P. J. Lorimer
Affiliation:
Department of Mathematics, University of VictoriaBritish Columbia, Canada
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If G1,…,Gc are graphs without loops or multiple edges there is a smallest integer r(G1,…,Gc) such that if the edges of a complete graph Kn, with n ≧ r(G1,…,Gc), are painted arbitrarily with c colours the ith coloured subgraph contains Gi as a subgraph for at least one i. r(G1,…Gc) is called the Ramsey number of the graphs G1,…,Gc.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 19 , Issue 2 , March 1975 , pp. 252 - 256
Copyright
Copyright © Australian Mathematical Society 1975

References

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