講座主題：Graphical semiregular representation of finite group
專家姓名：馮衍全
工作單位：北京交通大學
講座時間：2023年04月13日15:00-16:00
講座地點：數(shù)學院三樓會議室
主辦單位：煙臺大學數(shù)學與信息科學學院
內(nèi)容摘要：
A digraph or a graph Γ is called a digraphical or graphical regular representation (DRR or GRR for short) of a group G respectively, if Aut(Γ) is regular on the vertex set V(Γ). A group G is called a DRR group or a GRR group if there is a digraph or a graph Γ such that Γ is a DRR or GRR of G. Babai and Godsil classified finite DRR groups and GRR groups in 1980 and 1981, respectively. Then a lot of variants relative to DRR or GRR, with some restrictions on (di)graphs or groups, were investigated by many researchers. We extend regular representation to semiregular representation. For a positive integer m, a group G is called a DmSR group or a GmSR group, if there is a digraphical or graphical m-semiregular representation of G, that is, a regular digraph or a graph Γ such that Aut(Γ) is semiregular on V(Γ) with m orbits. Clearly, D1SR and G1SR groups are the DRR and GRR groups. In this talk, we review some progress on DmSR groups and GmSR groups for all positive integer m, and their variants by restricting (di)graphs or groups.
主講人介紹：
馮衍全,，北京交通大學二級教授,，政府特殊津貼獲得者,，獲教育部自然科學二等獎,。從事群,、圖及互連網(wǎng)絡研究工作,，在Journal of Combinatorial Theory, Series A,、Journal of Combinatorial Theory, Series B,、Journal of Algebra等國際著名期刊上發(fā)表學術(shù)論文150篇,。主持完成國家自然科學基金10余項,，目前主持國家自然科學基金重點項目1項、國際合作研究項目2項。擔任國際代數(shù)組合權(quán)威期刊Journal of Algebraic Combinatorics等編委,，擔任中國數(shù)學會理事,、中國工業(yè)與應用數(shù)學學會理事、中國運籌學會圖論組合學分會常務理事等,。
