Article ID Journal Published Year Pages File Type
4647434 Discrete Mathematics 2014 31 Pages PDF
Abstract

Graph coverings are known to induce surjections of their critical groups. Here we describe the kernels of these morphisms in terms of data parametrizing the covering. Regular coverings are parametrized by voltage graphs, and the above kernel can be identified with a naturally defined voltage graph critical group. For double covers, the voltage graph is a signed graph, and the theory takes a particularly pleasant form, leading also to a theory of double covers of signed graphs.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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