报告人：向子卿

报告题目：Natural graph spectrum

时间：2025年4月8日16:00-17:00

地点：北5-410

摘要：

      We call a graph matrix natural if it can be obtained from the adjacency matrix via a fixed sequence of linear combination, matrix multiplication and Hadamard multiplication. We fix the number of vertices. Typical examples of natural graph matrices are adjacency matrix, adjacency matrix of the complement graph, Laplacian matrix, distance matrix. In this talk, we demonstrate the existence of a natural graph matrix whose spectrum determines the structures of almost all graphs, which answers an open problem by van Dam and Haemers in 2003.

报告人简介：

  向子卿，南方科技大学数学系兼深圳国家应用数学中心副教授、博士生导师，国家级青年人才，2022年国际组合数学及其应用协会Kirkman奖章获得者。他于2019年获得美国佐治亚大学数学博士学位。他的研究兴趣主要集中在代数组合和表示论。研究成果发表在Advances in Mathematics、Journal of Combinatorial Theory A、Journal of Algebraic Combinatorics、Transformation Groups等著名期刊上。

邀请人：魏恒嘉 教授