极大Smith符号图的Smith群和临界群  

Smith Group and Critical Group of Maximal Smith Signed Graphs

作　　者：王倩南 陈语 WANG Qiannan;CHEN Yu(Department of Mathematics,Hunan Normal University,Changsha 410081,China)

机构地区：[1]湖南师范大学数学系,湖南长沙410081

出　　处：《湖南工业大学学报》2020年第2期10-14,共5页Journal of Hunan University of Technology

基　　金：国家自然科学基金资助项目(119710164);湖南省自然科学基金资助项目(2019JJ40184);湖南省研究生创新基金资助项目(CX2018B287)。

摘　　要：针对Smith符号图子图T2n临界群和Smith群的代数结构不易求解的问题,通过矩阵初等变换得到了符号图T2n的Smith群和临界群,然后使用初等因子的方法,得到了Smith群和临界群的代数结构。In view of the difficulty in finding the algebraic structure of the subgraph T2n of Smith signed graph and Smith group,a proposal has thus been made that the Smith group and critical group of Smith signed graph T2n be obtained first by matrix elementary transformation,followed by the obtaining of the algebraic structure of Smith group and Smith group by using the method of elementary factors.

关 键 词：Smith符号图 邻接矩阵 Smith群 LAPLACIAN矩阵 临界群 

分 类 号：O157.6[理学—数学]