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：靜遠樓1506學術報告廳

主辦單位：數學與統計學院、數學研究院、科學技術研究院 

報告人簡介：

      黃雪毅，華東理工大學講師、碩士生導師，2018年博士畢業于新疆大學，導師為黃瓊湘教授，2018-2020年在鄭州大學從事博士后研究，2020年起在華東理工大學工作，2021-2022年在韓國成均館大學從事博士后研究1年。目前主要從事代數圖論方面的研究，涉及的研究領域有凱萊圖的譜與同構、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基金青年基金、中國博士后科學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.等期刊上發表學術論文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.