On the sandpile group of the square cycle Cn 2
Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review
Related Research Unit(s)
|Journal / Publication||Linear Algebra and Its Applications|
|Publication status||Published - 15 Oct 2006|
|Link to Scopus||https://www.scopus.com/record/display.uri?eid=2-s2.0-33748178909&origin=recordpage|
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 Cn 2 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. © 2006 Elsevier Inc. All rights reserved.
- Critical group, Fibonacci number, Graph Laplacian, Sandpile group, Square of a cycle, The Smith normal form