Abelian girth and gapped sheaves

The girth of a graph is the length of the shortest cycle in a graph, and the abelian girth of a graph is the girth of the graph's universal abelian covering graph. We denote the abelian girth of a graph G as Abl(G) and show that for d-regular graphs on n vertices with d constant and n growing w...

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Bibliographic Details
Main Author: Izsak, Alice
Language:English
Published: University of British Columbia 2016
Online Access:http://hdl.handle.net/2429/56299