边冠图T_m◇S_n的临界群(英文)  

Critical Group of the Edge Corona T_m◇S_n

作　　者：谭湘花[1] 曾维理[2] 

机构地区：[1]南京工业职业技术学院人文数理系,南京210046 [2]东南大学交通学院,南京210096

出　　处：《吉首大学学报（自然科学版）》2011年第6期11-14,共4页Journal of Jishou University(Natural Sciences Edition)

基　　金：Program Sponsored by Scientific Innovation Research of College Graduate in Jiangsu Province(CXZZ_0163);Scientific Research Foundation of Graduate School of Southeast University(YBJJ1140)

摘　　要：确定了任意树与星的边冠图Tm◇Sn的临界群的代数结构,证明了边冠图Tm◇Sn的临界群的Smith标准型为(n-2)m个循环群的直和,同时给出了图Tm◇Sn的生成树数目.The structures of the critical group on the edge corona Tm◇Sn of trees and stars are determined and it is shown that the Smith normal forms of critical group of the edge corona Tm◇Sn are the direct sum of(n-2)m cyclic groups.At the same time the number of spanning trees in Tm◇Sn is given.

关 键 词：LAPLACIAN矩阵 临界群 群的Smith标准型 边冠图 

分 类 号：O15[理学—数学]