报告题目：The spectral radii of the arithmetical structures on the path

报告人：侯耀平 （湖南师范大学 教授）

报告时间：4月15号下午 3:15-4:00 

地点：管理楼1418

报告摘要：An arithmetical structure on a finite, connected graph G is a pair of vectors (d,r) with positive integer entries for which (diag(d)-A(G))r= 0, where  A(G) is the adjacency matrix of G and entries of r are relatively prime. The set of all arithmetical structures on a graph G is denoted by Arith(G). In this talk, we will study the spectral radii of arithmetical structures on the path. We will prove that the spectral radius of the arithmetical structure (deg,1) is minimum and determine the first half  large spectral radii of arithmetical structures on the path.