Invariant subspaces, duality, and covers of the Petersen graph

A general method for finding elementary abelian regular covering projections of finite connected graphs is applied to the Petersen graph. As a result, a complete list of pairwise nonisomophic elementary abelian covers admitting a lift of a vertex-transitive group of automorphisms is given. The resulting graphs are explicitly described in terms of voltage assignments.

• Type: Journal
• Year: 2006
• Where: EJC
• Authors: Aleksander Malnic, Primoz Potocnik
• Keywords: EJC 2006, EJC 2007, Elementary, General Method, Petersen Graph