Invariant subspaces, duality, and covers of the Petersen graph

Authors:
Aleksander Malnič;Primož Potočnik
Affiliations:
Inštitut za Matematiko, Fiziko in Mehaniko, Jadranska, Ljubljana, Slovenia;Inštitut za Matematiko, Fiziko in Mehaniko, Jadranska, Ljubljana, Slovenia
Venue:
European Journal of Combinatorics
Year:
2006

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Abstract

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 nonisomorphic 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.