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The Number of Graphs with a given Automorphism Group

Published online by Cambridge University Press:  20 November 2018

J. Sheehan
J. Sheehan*
Affiliation:
King's College, Aberdeen, Scotland
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In this paper, the graphs under consideration may have multiple edges but they do not have loops. We enumerate the number N[H: n, p] of topologically distinct graphs with n vertices and p edges whose automorphism group is the permutation group H. As in (5), this enumeration is considered in the context of the theory of permutation representations of finite groups. We begin with some definitions and notation.

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 20 , 1968 , pp. 1068 - 1076
Copyright
Copyright © Canadian Mathematical Society 1968

References

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