報 告 人：黃雪毅 博士 

報告題目：On directed strongly regular Cayley graphs over non-abelian groups

報告時間：2023年12月07日（周四）下午15:30

報告地點：靜遠(yuǎn)樓1506學(xué)術(shù)報告廳

主辦單位：數(shù)學(xué)與統(tǒng)計學(xué)院、數(shù)學(xué)研究院、科學(xué)技術(shù)研究院 

報告人簡介：

      黃雪毅，華東理工大學(xué)講師、碩士生導(dǎo)師，2018年博士畢業(yè)于新疆大學(xué)，導(dǎo)師為黃瓊湘教授，2018-2020年在鄭州大學(xué)從事博士后研究，2020年起在華東理工大學(xué)工作，2021-2022年在韓國成均館大學(xué)從事博士后研究1年。目前主要從事代數(shù)圖論方面的研究，涉及的研究領(lǐng)域有凱萊圖的譜與同構(gòu)、距離正則凱萊圖的刻畫、高度對稱圖的譜刻畫等，主持完成國家自然科學(xué)基金青年基金、中國博士后科學(xué)基金項目和河南省博士后基金項目各1項，在Electron. J. Combin.、J. Algebraic Combin.、Linear Algebra Appl.等期刊上發(fā)表學(xué)術(shù)論文40余篇。 

報告摘要：

      In 1988, Duval introduced the concept of directed strongly regular graphs, which can be viewed as a directed graph version of strongly regular graphs. Such directed graphs have similar structural and algebraic properties to strongly regular graphs. In the past three decades, it was found that Cayley graphs, especially those over dihedral groups, play a key role in the construction of directed strongly regular graphs.  In this talk, we focus on the characterization of directed strongly regular Cayley graphs over more general groups. Let $G$ be a non-abelian group with an abelian subgroup of index $2$. We give some necessary conditions for a Cayley graph over $G$ to be directed strongly regular, and characterize the directed strongly regular Cayley graphs over $G$ satisfying specified conditions. This extends some previous results of He and Zhang (2019). This is joint work with Lu Lu and Jongyook Park.