广义Brandt半群的另一类Cayley图  

On the other kinds of Cayley graphs of generalized Brandt semigroups

作　　者：李映辉 王守峰[2] LI Yinghui;WANG Shoufeng(College of Teacher Education,Kunming University,Kunming,Yunnan 650204,China;College of Mathmatics,Yunnan Normal University,Kunming,Yunnan 650500,China)

机构地区：[1]昆明学院教师教育学院,云南昆明650204 [2]云南师范大学数学学院,云南昆明650500

出　　处：《福州大学学报（自然科学版）》2021年第4期441-446,共6页Journal of Fuzhou University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11661082);云南省教育厅科学研究基金资助项目(2019J0559)。

摘　　要：研究广义Brandt半群上的以Green等价类为连接集的Cayley图.通过扩大连接集和改变诱导子图得到不同类型的Cayley图,并刻画这些Cayley图的特征,讨论其同构的条件,揭示了广义Brandt半群的Cayley图本质特征.The aim of this article is to investigate the Cayley graphs of generalized Brandt semigroups whose connection sets are Green equivalence classes.By expanding connectional sets and changing induced subgraph,different kinds of Cayley graphs are obtained and some characterizations of these Cayley graphs were depicted,then their necessary and sufficient conditions such that these graphs are isomorphic were discussed,last substantive characteristics of the Cayley graphs of generalized Brandt semigroups were revealed.

关 键 词：CAYLEY图 广义Brandt半群 Green等价类 诱导子图 

分 类 号：O152.7[理学—数学]