๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Sandpile Groups and the Join of Graphs

โœ Scribed by Krepkiy, I. A


Book ID
121581396
Publisher
Springer US
Year
2014
Tongue
English
Weight
205 KB
Volume
196
Category
Article
ISSN
1573-8795

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


On the sandpile group of the graph
โœ Yaoping Hou; Tiangang Lei; Chingwah Woo ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 166 KB
On the Sandpile Group of Dual Graphs
โœ Robert Cori; Dominique Rossin ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 205 KB

The group of recurrent configurations in the sandpile model, introduced by Dhar [7], may be considered as a finite abelian group associated with any graph G; we call it the sandpile group of G. The aim of this paper is to prove that the sandpile group of planar graph is isomorphic to that of its dua

Sandpile Dynamics on Random Graphs
โœ Bonabeau, Eric ๐Ÿ“‚ Article ๐Ÿ“… 1995 ๐Ÿ› Institute of Pure and Applied Physics ๐ŸŒ English โš– 221 KB
On the minimum rank of the join of graph
โœ Francesco Barioli; Shaun Fallat ๐Ÿ“‚ Article ๐Ÿ“… 2007 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 184 KB

For a given undirected graph G, the minimum rank of G is defined to be the smallest possible rank over all real symmetric matrices A whose (i, j )th entry is nonzero whenever i / = j and {i, j } is an edge in G. In this work we consider joins and unions of graphs, and characterize the minimum rank o