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A note on 1-factors of point determining graphs

Published online by Cambridge University Press:  17 April 2009

Chia Gek-Ling  and
Lim Chong-Keang
Chia Gek-Ling
Affiliation:
Department of Mathematics, University of Malaya, Kuala Lumpur 22–11, Malaysia.
Lim Chong-Keang
Affiliation:
Department of Mathematics, University of Malaya, Kuala Lumpur 22–11, Malaysia.
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Abstract

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A graph is called point determining if distinct points have distinct neighborhoods. In this note we provide a sufficient condition for a point determining graph to have a 1-factor. This is an extension of some results obtained by David P. Sumner.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 25 , Issue 2 , April 1982 , pp. 265 - 270
Copyright
Copyright © Australian Mathematical Society 1982

References

[1]Geoffroy, Dennis P., “On 1-factors of point determining graphs”, Discrete Math. 24 (1978), 167–175.CrossRefGoogle Scholar
[2]Harary, Frank, Graph theory (Addison-Wesley, Reading, Menlo Park, London, 1969).CrossRefGoogle Scholar
[3]Sumner, David P., “Point determination in graphs”, Discrete Math. 5 (1973), 179–187.CrossRefGoogle Scholar
[4]Sumner, David P., “1-factors of point determining graphs”, J. Combin. Theory Ser. B 16 (1974), 35–41.CrossRefGoogle Scholar