講座主題：Graphical semiregular representation of finite group
專(zhuān)家姓名：馮衍全
工作單位：北京交通大學(xué)
講座時(shí)間：2023年04月13日15:00-16:00
講座地點(diǎn)：數(shù)學(xué)院三樓會(huì)議室
主辦單位：煙臺(tái)大學(xué)數(shù)學(xué)與信息科學(xué)學(xué)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(xué)二級(jí)教授，政府特殊津貼獲得者，獲教育部自然科學(xué)二等獎(jiǎng)。從事群、圖及互連網(wǎng)絡(luò)研究工作，在Journal of Combinatorial Theory, Series A、Journal of Combinatorial Theory, Series B、Journal of Algebra等國(guó)際著名期刊上發(fā)表學(xué)術(shù)論文150篇。主持完成國(guó)家自然科學(xué)基金10余項(xiàng)，目前主持國(guó)家自然科學(xué)基金重點(diǎn)項(xiàng)目1項(xiàng)、國(guó)際合作研究項(xiàng)目2項(xiàng)。擔(dān)任國(guó)際代數(shù)組合權(quán)威期刊Journal of Algebraic Combinatorics等編委，擔(dān)任中國(guó)數(shù)學(xué)會(huì)理事、中國(guó)工業(yè)與應(yīng)用數(shù)學(xué)學(xué)會(huì)理事、中國(guó)運(yùn)籌學(xué)會(huì)圖論組合學(xué)分會(huì)常務(wù)理事等。
