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On automorphism groups of some PCS graphs

โœ Scribed by Reginaldo M. Marcelo; Mari-Jo P. Ruiz; Ken-ichi Shinoda


Publisher
Springer Japan
Year
1994
Tongue
English
Weight
366 KB
Volume
10
Category
Article
ISSN
0911-0119

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๐Ÿ“œ SIMILAR VOLUMES


On automorphism groups of Cayley graphs
โœ W. Imrich; M. E. Watkins ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 851 KB
Automorphism Groups of Covering Graphs
โœ Norbert Seifter; Vladimir I. Trofimov ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 226 KB

For a large class of finite Cayley graphs we construct covering graphs whose automorphism groups coincide with the groups of lifted automorphisms. As an application we present new examples of 1ร‚2-transitive and 1-regular graphs.

On the Automorphism Groups of Quasiprimi
โœ Xin Gui Fang; George Havas; Cheryl E. Praeger ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 111 KB

Let be a graph and let G be a subgroup of automorphisms of . Then G is said to be locally primitive on if, for each vertex v, the stabilizer G v induces a primitive group of permutations on the set of vertices adjacent to v. This paper investigates pairs G for which G is locally primitive on , G is