On the critical group of the n-cube

被引：25

作者：

Bai, H ^{[1
]}

机构：

[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2003年 / 369卷

关键词：

n-cube; critical group; sandpile group; Laplacian matrix; Smith normal form; Sylow p-group;

D O I：

10.1016/S0024-3795(02)00727-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Reiner proposed two conjectures about the structure of the critical group of the n-cube Q(n). In this paper we confirm them. Furthermore we describe its p-primary structure for all odd primes p. The results are generalized to Cartesian product of complete graphs K-n1 x (. . .) x K-nk by Jacobson, Niedermaier and Reiner. (C) 2003 Published by Elsevier Science Inc.

引用

页码：251 / 261

页数：11

共 17 条

[1] The lattice of integral flows and the lattice of integral cuts on a finite graph [J].