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arXiv · 1303.3794

How to find G-admissible abelian coverings of a graph?

Haimiao Chen·Hao Shen
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Abstract

Given a finite connected simple graph $Γ$, and a subgroup $G$ of its automorphism group, a general method for finding all finite abelian regular coverings of $Γ$ that admit a lift of each element of $G$ is developed. As an application, all connected arc-transitive abelian regular coverings of the Petersen graph are classified up to isomorphism.

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Haimiao Chen, Hao Shen. 2013-03-15. How to find G-admissible abelian coverings of a graph?. https://doi.org/10.1016/j.laa.2012.12.041

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