Let m be a positive integer. A group G is said to be an m-DCI-group or an m-BCI-group if G has the k-DCI property or k-BCI property for all positive integers k at most m, respectively. Begun with a conjecture proposed by Adam in 1967, finite m-DCI-groups have been extensively studied for over fifty years. Subsequently, finite m-BCI-groups has also been extensively studied by scholars. In this talk, we discuss some isomorphic problems of Cayley digraphs and bi-Cayley graphs over some given groups.

谢金华，本科毕业于华中师范大学，硕士毕业于广西大学，博士毕业于北京交通大学，现为南开大学在站博士后。博士导师为冯衍全教授，博士后合作导师为路在平教授。已在Electron. J. Combin., J. Algebraic Combin.，Comm. Algebra, Ars Math. Comtemp., Appl. Math. Comput. 等期刊发表7篇论文。