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The critical group from a cryptographic perspective

Biggs, Norman (2006) The critical group from a cryptographic perspective. CDAM Research Report, LSE-CDAM 2006-07. Centre for Discrete and Applicable Mathematics, London School of Economics and Political Science, London, UK.

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Identification Number: LSE-CDAM 2006-07

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’.

Item Type: Monograph (Report)
Official URL: http://www.cdam.lse.ac.uk
Additional Information: © 2006 the author
Subjects: Q Science > QA Mathematics
Sets: Departments > Mathematics
Date Deposited: 10 Oct 2008 15:18
Last Modified: 01 Oct 2010 09:05
URI: http://eprints.lse.ac.uk/id/eprint/13218

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