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Abstract A construction is given of an infinite family of finite self-complementary, vertex-transitive graphs which are not Cayley graphs. To the authors' knowledge, these are the first known examples of such graphs. The nature of the construction was suggested by a general study of the structure of self-complementary, vertex-transitive graphs. It involves the product action of a wreath product of permutation groups. 2000 Mathematics Subject Classification 05C25. © London Mathematical Society
Bulletin of the London Mathematical Society – Oxford University Press
Published: Nov 1, 2001
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