Chip firing and the tutte polynomial

descriptionPublicationkeyboard_double_arrow_right Article 01 Dec 1997 English Publisher:Springer Science and Business Media LLCJournal:Annals of Combinatorics, volume 1, pages 253-259 (issn: 0218-0006, eissn: 0219-3094,

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Authors: López, Criel Merino;

doi: 10.1007/bf02558479

Chip firing and the tutte polynomial

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Abstract

This paper shows that the generating function of critical configurations of a version of a chip firing game on a graph \(G\) is an evaluation of the Tutte polynomial of \(G\), thus proving a conjecture of Biggs.

Related Organizations

University of Oxford
United Kingdom

Keywords

Tutte polynomial, generating function, Exact enumeration problems, generating functions, chip firing game

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