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The critical group from a cryptographic perspective

By Norman Biggs

Abstract

The critical group of a graph is an abelian group that arises in several contexts, and there are some similarities with the groups that are used in cryptography. We construct a family of graphs whose critical groups are cyclic, and discuss the associated computational problems using algorithms based on the theory of ‘chip-firing’

Topics: QA Mathematics
Publisher: Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science
Year: 2006
OAI identifier: oai:eprints.lse.ac.uk:13218
Provided by: LSE Research Online
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