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Enumeration of Graphs with given Partition

Published online by Cambridge University Press:  20 November 2018

K. R. Parthasarathy
K. R. Parthasarathy*
Affiliation:
Indian Institute of Technology, Madras
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In this paper we use a generalized form of Polya's theorem (1) to obtain generating functions for the number of ordinary graphs with given partition and for the number of bicoloured graphs with given bipartition. Both the points and lines of the graphs are taken as unlabelled. These graph enumeration problems were proposed by Harary in his review article (4). Read (7, 8) solved the problem for unlabelled general graphs and labelled ordinary graphs.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 40 - 47
Copyright
Copyright © Canadian Mathematical Society 1968

References

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