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A classification of tightly attached half-arc-transitive graphs of valency 4

✍ Scribed by Primož Šparl

Book ID
108167447
Publisher
Elsevier Science
Year
2008
Tongue
English
Weight
348 KB
Volume
98
Category
Article
ISSN
0095-8956

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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. The graph X is said to be 1 2 -transitive if Aut X is 1 2 -transitive. The correspondence between regular maps and 1 2 -transitive group actions on graphs of valency 4 is studied

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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

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A graph X is said to be 1 2 -transitive if its automorphism group Aut X acts vertex-and edge-, but not arc-transitively on X. Then Aut X induces an orientation of the edges of X. If X has valency 4, then this orientation gives rise to so-called alternating cycles, that is even length cycles in X who