广义Brandt半群的Cayley图的对称性

Symmetry on Cayley Graphs of Generalized Brandt Semigroups

在研究广义Brandt半群上以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了不同类型的Cayley图,用Cayley图的“点线图”实例刻画了广义Brandt半群上的Cayley图的特征,并在三组连接集间建立了沟通关系,使问题的研究系统化,揭示了广义Brandt半群上的此类Cayley图的对称性.

The aim of this article is to investigate the Cayley graphs of generalized Brandt semigroups whose connection sets are Green equivalence classes.By expanding connection sets and changing induced subgraphs,different kinds of Cayley graphs are obtained and some characterizations of them are depicted by using "point-line-instance " graphs;Then relationships of between the three couples of connected sets are constructed,systematized the researched problems.Last substantive characteristics symmetry of the Cayley graphs of generalized Brandt semigroups are revealed.