广义Brandt半群的另一类Cayley图

On the other kinds of Cayley graphs of generalized Brandt semigroups

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.