Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4603045 | Linear Algebra and its Applications | 2006 | 11 Pages |
Abstract
The sandpile group of a graph is a refinement of the number of spanning trees of the graph and is closely connected with the graph Laplacian. In this paper, the structure of the sandpile group on the square cycle is determined and it is shown that the Smith normal form of the sandpile group is always the direct sum of two or three cyclic groups.
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Physical Sciences and Engineering
Mathematics
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