Title of article
On the sandpile group of the square cycle
Author/Authors
Yaoping Hou، نويسنده , , Chingwah Woo، نويسنده , , Pingge Chen، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2006
Pages
11
From page
457
To page
467
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.
Keywords
Graph Laplacian , Sandpile group , Square of a cycle , The Smith normal form , critical group , Fibonacci number
Journal title
Linear Algebra and its Applications
Serial Year
2006
Journal title
Linear Algebra and its Applications
Record number
825299
Link To Document