We prove that the inequalitys≦7 holds for finites-transitive graphs assuming that the list of known 2-transitive permutation groups is complete.

The nonexistence of 8-transitive graphs

Automorphisms of graphs and coverings

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The finite vertex-primitive and vertex-biprimitive -transitive graphs for ≥4

On 2-arc-transitivity of Cayley graphs

A characterization is given of a class of edge-transitive Cayley graphs, providing methods for constructing Cayley graphs with certain symmetry properties. Various new half-arc transitive graphs are constructed.

A. Gardiner

Papers

Arc transitivity in graphs

Arc transitivity in graphs iii