Antivoltages for groups of small order

Antivoltages for groups of small order

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Vaidy Sivaraman , Binghampton University
Fine Hall 224

Let G be a group. A G-antivoltage is a function from the set of oriented edges of a graph to G such that the product along any cycle is not the identity. Given a group G of order up to and including six, we characterize the graphs that have G-antivoltages and also give the list of minor-minimal graphs that have no G-antivoltages. This is joint work with Daniel Slilaty.