Finite vertex-biprimitive edge-transitive tetravalent graphs
β Scribed by Li, Cai Heng; Zhang, Hua
- Book ID
- 122279793
- Publisher
- Elsevier Science
- Year
- 2014
- Tongue
- English
- Weight
- 427 KB
- Volume
- 317
- Category
- Article
- ISSN
- 0012-365X
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π SIMILAR VOLUMES
A graph is __vertexβtransitive__ if its automorphism group acts transitively on vertices of the graph. A vertexβtransitive graph is a __Cayley graph__ if its automorphism group contains a subgroup acting regularly on its vertices. In this article, the tetravalent vertexβtransitive nonβCayley graphs
Let X be a vertex-transitive graph, that is, the automorphism group Aut(X ) of X is transitive on the vertex set of X . The graph X is said to be symmetric if Aut(X ) is transitive on the arc set of X . Suppose that Aut(X ) has two orbits of the same length on the arc set of X . Then X is said to be