Article ID Journal Published Year Pages File Type
4603045 Linear Algebra and its Applications 2006 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory