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, 1ร2)-transitive. The group G induces an orientation of the edges of X, and a certain class o
Graphs admitting transitive commutative group actions
โ 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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๐ SIMILAR VOLUMES
Let โซ be a finite connected regular graph with vertex set V โซ, and let G be a subgroup of its automorphism group Aut โซ. Then โซ is said to be G-locally primitiยจe if, for each vertex โฃ , the stabilizer G is primitive on the set of vertices adjacent to โฃ โฃ. In this paper we assume that G is an almost s
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