On the classification of symmetric graphs with a prime number of vertices

Chao, Chong-yun

doi:10.1090/S0002-9947-1971-0279000-7

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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On the classification of symmetric graphs with a prime number of vertices
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Trans. Amer. Math. Soc. 158 (1971), 247-256 Request permission

Abstract:

We determine all the symmetric graphs with a prime number of vertices. We also determine the structure of their groups.

References

Chong-yun Chao, On groups and graphs, Trans. Amer. Math. Soc. 118 (1965), 488–497. MR 177031, DOI 10.1090/S0002-9947-1965-0177031-6
Chong-yun Chao, A note on two set-transitive permutation groups, Proc. Amer. Math. Soc. 17 (1966), 953–955. MR 197545, DOI 10.1090/S0002-9939-1966-0197545-9
Marshall Hall Jr., The theory of groups, The Macmillan Company, New York, N.Y., 1959. MR 0103215
James Turner, Point-symmetric graphs with a prime number of points, J. Combinatorial Theory 3 (1967), 136–145. MR 211908