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Journal of the London Mathematical Society 1984 s2-30(1):1-14; doi:10.1112/jlms/s2-30.1.1
© 1984 by London Mathematical Society
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© London Mathematical Society

Homological Coverings of Graphs

N. L. Biggs

Department of Mathematics, Royal Holloway College, University of London Egham, Surrey TW20 0EX

Received 22 August 1983.

The homology group of a graph, with any coefficient ring, can be used to construct covering graphs. The properties of the covering graph are studied, and it, is proved that they admit group of automorphisms related to the group of the base graph. In the case of cubic graphs the construction throws some light on classification problems and it can be used to show that certain finitely presented groups are infinite.


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