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On Half-Transitive Metacirculant Graphs of Prime-Power Order

โœ Scribed by Cai Heng Li; Hyo-Seob Sim


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
152 KB
Volume
81
Category
Article
ISSN
0095-8956

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๐Ÿ“œ SIMILAR VOLUMES


On Finite s-Transitive Graphs of Odd Ord
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It is shown that, for a positive integer s, there exists an s-transitive graph of odd order if and only if s 3 and that, for s=2 or 3, an s-transitive graph of odd order is a normal cover of a graph for which there is an automorphism group that is almost simple and s-transitive.

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This paper completes the determination of all integers of the form pqr (where p, q, and r are distinct primes) for which there exists a vertex-transitive graph on pqr vertices which is not a Cayley graph.