Let Î“ be a graph admitting an arc-transitive subgroup G of automorphisms that leaves invariant a vertex partition B with parts of size v â‰¥ 3. In this paper we study such graphs where: for B, C âˆˆ Bâ€¦ (More)

A 1nite graph is said to be locally-quasiprimitive relative to a subgroup G of automorphisms if, for all vertices , the stabiliser in G of is quasiprimitive on the set of vertices adjacent to . (Aâ€¦ (More)

The main topic of the paper is the question of the existence of self-complementary Cayley graphs Cay(G; S) with the property S 6 = G # n S for all 2 Aut(G). We answer this question in the positive byâ€¦ (More)

For a subset Sof a groupG such that 1/ âˆˆ SandS= Sâˆ’1, the associated Cayley graph Cay (G, S) is the graph with vertex set G such that{x, y} is an edge if and only if yxâˆ’1 âˆˆ S. EachÏƒ âˆˆ Aut(G) inducesâ€¦ (More)