文献类型：期刊文献

英文题名：The effect on the spectral radius by attaching a pendant starlike tree

作者：Li, Xin[1];Guo, Ji-Ming[2]

机构：[1]Chuzhou Univ, Sch Math & Finance, Chuzhou, Anhui, Peoples R China;[2]East China Univ Sci & Technol, Coll Math, Shanghai, Peoples R China

年份：2024

卷号：477

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20242116129213);WOS:【SCI-EXPANDED(收录号:WOS:001244822000001)】；

语种：英文

外文关键词：Starlike tree; Spectral radius; Order

摘要：A tree T with exactly one node u of degree larger than two is called a starlike tree and u is called the root node of T. Let STn be a family of graphs consists of all starlike trees and the path with n + 1 nodes. For a fixed connected graph H with at least one edge, we construct a family of graphs F-H(v),F-n = {H (v) . T vertical bar T is an element of STn}, where H(v).T denotes the graph obtained by identifying some node, say v, of H with the root node of T. In this paper, we give an ordering of graphs in F-H(v),F-n by spectral radii coincides with the shortlex ordering of nondecreasing sequences of their branch lengths.