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Direct product of automorphism groups of colored graphs

โœ Scribed by Mariusz Grech; Andrzej Kisielewicz


Book ID
108113397
Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
211 KB
Volume
283
Category
Article
ISSN
0012-365X

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๐Ÿ“œ SIMILAR VOLUMES


Direct products of automorphism groups o
โœ Mariusz Grech ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 121 KB

## Abstract In this article we study the product action of the direct product of automorphism groups of graphs. We generalize the results of Watkins [J. Combin Theory 11 (1971), 95โ€“104], Nowitz and Watkins [Monatsh. Math. 76 (1972), 168โ€“171] and W. Imrich [Israel J. Math. 11 (1972), 258โ€“264], and w

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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.

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โœ W. Imrich; M. E. Watkins ๐Ÿ“‚ Article ๐Ÿ“… 1976 ๐Ÿ› Springer Netherlands ๐ŸŒ English โš– 851 KB