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Tetravalent -transitive graphs of order

✍ Scribed by Jin-Xin Zhou

Book ID
108114156
Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
534 KB
Volume
309
Category
Article
ISSN
0012-365X

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A graph is __vertex‐transitive__ if its automorphism group acts transitively on vertices of the graph. A vertex‐transitive graph is a __Cayley graph__ if its automorphism group contains a subgroup acting regularly on its vertices. In this article, the tetravalent vertex‐transitive non‐Cayley graphs

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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