SIAM Journal on Algebraic and Discrete Methods
The Laplacian spectrum of a graph
SIAM Journal on Matrix Analysis and Applications
A finite group attached to the laplacian of a graph
Discrete Mathematics
Discrete Mathematics - Special issue on Graph theory
Chip-Firing and the Critical Group of a Graph
Journal of Algebraic Combinatorics: An International Journal
On the sandpile group of dual graphs
European Journal of Combinatorics
Sandpile group on the graph Dn of the dihedral group
European Journal of Combinatorics
On the sandpile group of regular trees
European Journal of Combinatorics
Critical groups for complete multipartite graphs and Cartesian products of complete graphs
Journal of Graph Theory
The Laplacian spectrum of a graph
Computers & Mathematics with Applications
The critical groups of a family of graphs and elliptic curves over finite fields
Journal of Algebraic Combinatorics: An International Journal
Jacobians of nearly complete and threshold graphs
European Journal of Combinatorics
Graphs with two trivial critical ideals
Discrete Applied Mathematics
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Let M denote the Laplacian matrix of a graph G. Associated with G is a finite group @F(G), obtained from the Smith normal form of M, and whose order is the number of spanning trees of G. We provide some general results on the relationship between the eigenvalues of M and the structure of @F(G), and address the question of how often the group @F(G) is cyclic.