文献类型：期刊文献

英文题名：The Least Eigenvalue of Unicyclic Graphs with Application to Spectral Spread

作者：Guo, Jiming[1];Zhang, Gege[1];Wang, Zhiwen[1];Tong, Panpan[1]

机构：[1]East China Univ Sci & Technol, Sch Math, Shanghai 200237, Peoples R China

年份：2022

卷号：29

期号：02

起止页码：265

外文期刊名：ALGEBRA COLLOQUIUM

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000789118200008)】；

基金：This research was supported by NSFC (No. 12171154).

语种：英文

外文关键词：adjacency matrix; least eigenvalue; eigenvector; unicyclic graph

摘要：Let U-n(g) be the set of connected unicyclic graphs of order n and girth g. Let C (T-1, T-2, ..., Tg) EU,g, be obtained from a cycle v(1) v(2) ... v(g) v(1) (in an anticlockwise direction) by identifying v(i) with the root of a rooted tree T-i of order n(i) for each i=1, 2, ..., g, where n(i) >= 1 and Sigma(g)(i=1) n(i) = n. In this note, the graph with the minimal least eigenvalue (and the graph with maximal spread) in C(T-1, T-2, ... T-g) is determined.