Annals of Combinatorics 1 (1997) 253-259

Chip Firing and the Tutte Polynomial

Criel Merino López

Mathematical Institute, Oxford University, Oxford OX1 2HP, UK

Received May 30, 1997

AMS Subject Classification: 05C99, 05E99, 90D43

Abstract. It is shown 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 [3].

Keywords: Chip firing game, Tutte polynomial, graph


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