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Hamiltonian cycles in certain graphs

Published online by Cambridge University Press:  09 April 2009

Katherine Heinrich  and
W. D. Wallis
Katherine Heinrich
Affiliation:
Department of Mathematics University of Newcastle Newcastle, N.S.W. 2308
W. D. Wallis
Affiliation:
Department of Mathematics University of Newcastle Newcastle, N.S.W. 2308
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Abstract

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It is observed that arrays which arise in the scheduling of tournaments exist if and only if there are Hamiltonian cycles in certain graphs. The graphs are generalizations of those which arise in the “Footballers of Croam” problem. It is proven that such Hamiltonian cycles exist in infinite classes of the graphs.

Subject classification (Amer. Math. Soc. (MOS) 1970): 05 C 35, 05 B 30.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 1 , August 1978 , pp. 89 - 98
Copyright
Copyright © Australian Mathematical Society 1978

References

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