Cospectral vertices, walk regular graphs and the echolocation problem
来源：
发布时间：2026-08-04
报告时间：- 2026年8月4日 （周二）下午16:30-17:30
- 报告地点：
- 国交二号楼315会议室
- 报告人：
- 孔诗磊
- 报告人单位：
- 四川大学
- 邀请人：
- 付小叶
- 摘要：
- We study cospectral vertices on finite graphs in relation to the echolocation problem on Riemannian manifolds. First, we use a computer search to find minimal examples of various types of graphs on which cospectral but non-similar vertices exist, including minimal walk-regular non-vertex-transitive graphs, which turn out to be non-planar. Secondly, as our main result, we classify all finite 3-connected walk-regular planar graphs, proving that such graphs must be vertex-transitive.
孔诗磊（四川大学）
