Discrete Models: Combinatorics, Computation, and Geometry, DMCCG 2001
Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.)
DMTCS Conference Volume AA (2001), pp. 245256
author:  Criel Merino 

title:  The Chip Firing Game and Matroid Complexes 
keywords:  Chipfiring game, Tutte polynomial, Simplicial complex 
abstract: 
In this paper we construct from a cographic matroid
M
, a pure multicomplex whose degree sequence is the
h
vector of the the matroid complex of
M
. This result proves a conjecture of Richard Stanley
[Sta96] in the particular case of cographic matroids. We
also prove that the multicomplexes constructed are
M
shellable, so proving a conjecture of Manoj Chari
[Cha97] again in the case of cographic matroids. The proofs
use results on a game for graphs called the chip firing
game.

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reference:  Criel Merino (2001), The Chip Firing Game and Matroid Complexes, in Discrete Models: Combinatorics, Computation, and Geometry, DMCCG 2001, Robert Cori and Jacques Mazoyer and Michel Morvan and Rémy Mosseri (eds.), Discrete Mathematics and Theoretical Computer Science Proceedings AA, pp. 245256 
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