R. Bacher, T. Pierre-de-la-harpe, and . Nagnibeda, The lattice of integral flows and the lattice of integral cuts on a finite graph, Bulletin de la Société mathématique de France, vol.125, issue.2, pp.167-198, 1997.
DOI : 10.24033/bsmf.2303

M. Baker and S. Norine, Riemann???Roch and Abel???Jacobi theory on a finite graph, Advances in Mathematics, vol.215, issue.2, pp.766-788, 2007.
DOI : 10.1016/j.aim.2007.04.012

N. Biggs, Chip-firing and the critical group of a graph, Journal of Algebraic Combinatorics, vol.9, issue.1, pp.25-45, 1999.
DOI : 10.1023/A:1018611014097

A. Björner, L. Lovász, and P. Shor, Chip-firing Games on Graphs, European Journal of Combinatorics, vol.12, issue.4, pp.283-291, 1991.
DOI : 10.1016/S0195-6698(13)80111-4

E. Bolker, Simplicial geometry and transportation polytopes, Transactions of the American Mathematical Society, vol.217, pp.121-142, 1976.
DOI : 10.1090/S0002-9947-1976-0411983-9

H. Christianson and V. Reiner, The critical group of a threshold graph, Linear Algebra and its Applications, vol.349, issue.1-3, pp.233-244, 2002.
DOI : 10.1016/S0024-3795(02)00252-5

D. Dhar, Self-organized critical state of sandpile automaton models, Physical Review Letters, vol.64, issue.14, pp.1613-1616, 1990.
DOI : 10.1103/PhysRevLett.64.1613

J. Dodziuk and V. K. Patodi, RIEMANNIAN STRUCTURES AND TRIANGULATIONS OF MANIFOLDS, J. Indian Math. Soc. (N.S.), vol.40, pp.1-4, 1976.
DOI : 10.1142/9789812830210_0013

A. M. Duval, C. J. Klivans, and J. L. Martin, Simplicial matrix-tree theorems, Transactions of the American Mathematical Society, vol.361, issue.11, pp.6073-6114, 2009.
DOI : 10.1090/S0002-9947-09-04898-3

URL : http://arxiv.org/abs/0802.2576

A. M. Duval, C. J. Klivans, and J. L. Martin, Cellular spanning trees and Laplacians of cubical complexes, Advances in Applied Mathematics, vol.46, issue.1-4, pp.247-274, 2011.
DOI : 10.1016/j.aam.2010.05.005

A. M. Duval, C. J. Klivans, and J. L. Martin, Critical groups of simplicial complexes, preprint, 2011.

B. Eckmann, Harmonische Funktionen und Randwertaufgaben in einem Komplex, Commentarii Mathematici Helvetici, vol.17, issue.1, pp.240-255, 1945.
DOI : 10.1007/BF02566245

C. Godsil and G. Royle, Algebraic Graph Theory, Graduate Texts in Mathematics, vol.207, 2001.
DOI : 10.1007/978-1-4613-0163-9

C. Haase, G. Musiker, and J. Yu, Linear systems on tropical curves, preprint

R. Hartshorne, Algebraic geometry, Graduate Texts in Mathematics, vol.52, 1977.
DOI : 10.1007/978-1-4757-3849-0

B. Jacobson, A. Niedermaier, and V. Reiner, Critical groups for complete multipartite graphs and Cartesian products of complete graphs, Journal of Graph Theory, vol.91, issue.198, pp.231-250, 2003.
DOI : 10.1002/jgt.10139

G. Kalai, Enumeration ofQ-acyclic simplicial complexes, Israel Journal of Mathematics, vol.45, issue.4, pp.337-351, 1983.
DOI : 10.1007/BF02804017

L. Levine and J. Propp, What is. . . a sandpile?, Notices Amer, Math. Soc, vol.57, issue.8, pp.976-979, 2010.

D. J. Lorenzini, Arithmetical graphs, Mathematische Annalen, vol.96, issue.3, pp.481-501, 1989.
DOI : 10.1007/BF01455069

D. J. Lorenzini, A finite group attached to the Laplacian of a graph, Discrete Math, pp.277-282, 1991.

M. Maxwell, Enumerating bases of self-dual matroids, Journal of Combinatorial Theory, Series A, vol.116, issue.2, pp.351-378, 2009.
DOI : 10.1016/j.jcta.2008.06.007

R. Merris, Unimodular equivalence of graphs, Linear Algebra and its Applications, vol.173, pp.181-189, 1992.
DOI : 10.1016/0024-3795(92)90428-D

G. Musiker, The critical groups of a??family of??graphs and??elliptic curves over finite fields, Journal of Algebraic Combinatorics, vol.88, issue.8, pp.255-276, 2009.
DOI : 10.1007/s10801-008-0162-z

R. P. Stanley, Combinatorics and Commutative Algebra, 1996.
DOI : 10.1007/978-1-4899-6752-7