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Automorphism groups of symmetric graphs of valency 3

โœ Scribed by Marston Conder; Peter Lorimer


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
888 KB
Volume
47
Category
Article
ISSN
0095-8956

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๐Ÿ“œ SIMILAR VOLUMES


Graphs with symmetric automorphism group
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## Abstract We investigate the properties of graphs whose automorphism group is the symmetric group. In particular, we characterize graphs on less than 2__n__ points with group __S~n~__, and construct all graphs on __n__ + 3 points with group __S~n~__. Graphs with 2__n__ or more points and group __

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Let G be a group acting symmetrically on a graph 2, let G, be a subgroup of G minimal among those that act symmetrically on 8, and let G2 be a subgroup of G, maximal among those normal subgroups of GI which contain no member except 1 which fixes a vertex of Z. The most precise result of this paper i

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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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## 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