Arc-transitive abelian regular covers of cubic graphs

@inproceedings{Conder2012ArctransitiveAR,
  title={Arc-transitive abelian regular covers of cubic graphs},
  author={Marston D. E. Conder},
  year={2012}
}
Quite a lot of attention has been paid recently to the construction of edgeor arc-transitive covers of symmetric graphs. In most cases, the approach has involved voltage graph techniques, which are excellent for finding regular covers in which the group of covering transformations is either cyclic or elementary abelian, or more generally, homocyclic, but are not so easy to use when the covering group has other forms — even when it is abelian but not homocyclic. In this paper, a different… CONTINUE READING
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