On the sandpile group of the square cycle Cn2

Autor:	Hou, Yaoping, Woo, Chingwah, Chen, Pingge
Jazyk:	angličtina
Předmět:	Sandpile group Nonlinear Sciences::Adaptation and Self-Organizing Systems Condensed Matter::Statistical Mechanics Graph Laplacian Square of a cycle Fibonacci number Nonlinear Sciences::Cellular Automata and Lattice Gases Critical group The Smith normal form
Zdroj:	Linear Algebra and its Applications. (2-3):457-467
ISSN:	0024-3795
DOI:	10.1016/j.laa.2006.02.022
Popis:	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 Cn2 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.
Databáze:	OpenAIRE
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