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Asymptotic formulas for the number of self-complementary graphs and digraphs

Published online by Cambridge University Press:  26 February 2010

Edgar M. Palmer
Edgar M. Palmer
Affiliation:
Michigan State University.
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Extract

The number of self-complementary graphs and the number of self-complementary digraphs were expressed by Read [4] in terms of cycle indexes of the appropriate pair groups. These formulas for and , together with a modification of the method employed by Oberschelp [3] for graphs, can be used to obtain estimates for and and a bound on the error. For graph theoretic definitions not given here, we refer to the book [2].

Type
Research Article
Information
Mathematika , Volume 17 , Issue 1 , June 1970 , pp. 85 - 90
Copyright
Copyright © University College London 1970

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References

1.Bruijn, N. G. de, “Polya's theory of counting”, Applied combinatorial mathematics, Beckenbach, E. F., ed. (John Wiley and Sons, New York, 1964).Google Scholar
2.Harary, F., Graph theory (Addison-Wesley, Reading, Mass., 1969).CrossRefGoogle Scholar
3.Oberschelp, W., “Kombinatorische Anzahlbestimmungen in Relationen”, Math. Ann., 174 (1967), 53–78.CrossRefGoogle Scholar
4.Read, R. C., “On the number of self-complementary graphs and digraphs”, J. London Math. Soc., 38 (1963), 99–104.CrossRefGoogle Scholar