Algebra & Combinatorics Seminar

New Arithmetic Invariants for Cospectral Graphs

  • 演讲者:王卫(西安交通大学)

  • 时间:2024-11-21 10:00-11:00

  • 地点:理学院大楼M1001,腾讯会议 ID: 770 960 404

Abstract

An invariant for cospectral graphs is a property shared by all graphs. In this talk, we give three new invariants for cospectral graphs, characterized by their arithmetic nature. Based on these, we are able to show that under certain conditions, every graph cospectral with a graph $G$ is determined by its generalized spectrum. This is a joint work with Yizhe Ji, Quanyu Tang and HaoZhang.