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Graphs admitting transitive commutative group actions

โœ Scribed by Jiehua Mai; Enhui Shi


Book ID
108286685
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
165 KB
Volume
157
Category
Article
ISSN
0166-8641

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In this paper we study finite, connected, 4-valent graphs X which admit an action of a group G which is transitive on vertices and edges, but not transitive on the arcs of X. Such a graph X is said to be (G, 1ร‚2)-transitive. The group G induces an orientation of the edges of X, and a certain class o

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Let โŒซ be a finite connected regular graph with vertex set V โŒซ, and let G be a subgroup of its automorphism group Aut โŒซ. Then โŒซ is said to be G-locally primitiยจe if, for each vertex โฃ , the stabilizer G is primitive on the set of vertices adjacent to โฃ โฃ. In this paper we assume that G is an almost s

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โœ Dragan Maruลกiฤ ๐Ÿ“‚ Article ๐Ÿ“… 1998 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 586 KB

The action of a subgroup G of automorphisms of a graph X is said to be 1 2 -transitive if it is vertex-and edge-but not arc-transitive. In this case the graph X is said to be (G, 1 2 )-transitive. In particular, X is 1 2 -transitive if it is (Aut X, 1 2 )-transitive. The 1 2 -transitive action of G