Arc-transitive cyclic regular covers of dodecahedron graph
Presented by Dr. Jicheng MA
Type: Oral presentation
Track: Symmetries in Graphs, Maps and Other Discrete Structures
In this talk I will introduce all the arc-transitive cyclic regular covers of the dodecahedron graph using a new approach of constructing regular covers given by Conder and Ma. Two families of infinite 3-arc-transitive abelian regular covers of the dodecahedron graph will be introduced which gives more concrete examples that for a s-arc-transitive graph there exists (s + 1)-arc-transitive covering graphs.