讲座题目：The EKR properties of Peisert-type graphs

主办单位：三峡数学研究中心/理学院

报告专家：Sergey Goryainov（河北师范大学）

报告时间： 2023年11月30日（星期四） 14：30

报告地点：三峡大学理科楼L1218

报告摘要：

Let q be a prime power. Consider the affine plane AG(2,q), which has exactly q+1 paralles classes of lines. Let m be an integer such that 1 <= m <= q and let S = {C_1, C_2, ..., C_m} be a set of m parallel classes. Define a graph Gamma(S) whose vertices are the points of AG(2,q), and two points are adjacent whenever the line through these points belongs to one of the classes of S. The graph Gamma(S) is called a Peisert-type graph of type (m,q). In this talk we discuss the EKR properties of Peisert-type graphs.

报告人简介：

Sergey Goryainov obtained his PhD in 2015 at the Krasovskii Institute of Mathematics and Mechanics in Yekaterinburg, Russia. From 2017 to 2020 he had a position of a postdoctoral researcher at Shanghai Jiao Tong University, China. Since 2021 he is affiliated with Hebei Normal University, China, as Associate Professor.  His research interests include discrete mathematics, algebraic combinatorics, strongly regular graphs and their generalizations, Cayley graphs, finite fields.