21.11.2011 Lecturer: Ademir Hujdurović
Title: Quasi m-Cayley graphs
Abstract: A graph Γ is called a quasi m-Cayley graph on a group G if there exists a vertex
∞ ∈ V (Γ) and a subgroup G of the vertex stabilizer Aut(Γ)∞ of the vertex ∞ in the full
automorphism group Aut(Γ) of Γ, such that G acts semiregularly on V (Γ)\{∞} with m
orbits. If the vertex ∞ is adjacent to only one orbit of G on V (Γ)\{∞}, then Γ is called
a strongly quasi m-Cayley graph on G.We will present the classifications of quasi 2-
Cayley, strongly quasi 3-Cayley and strongly quasi 4-Cayley arc-transitive circulants.
