文献类型：期刊文献

英文题名：The signless Laplacian spectral radius of graphs with no intersecting triangles

作者：Zhao, Yanhua[1];Huang, Xueyi[1];Guo, Hangtian[1]

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

年份：2021

卷号：618

起止页码：12

外文期刊名：LINEAR ALGEBRA AND ITS APPLICATIONS

收录：;EI(收录号：20210609890538);WOS:【SCI-EXPANDED(收录号:WOS:000630009900002)】；

基金：The authors would like to thank the referees for their valuable comments and helpful suggestions. X. Huang is partially supported by the National Natural Science Foundation of China (Grant No. 11901540 and Grant No. 11671344).

语种：英文

外文关键词：Signless Laplacian spectral radius; k-fan; Extremal graph

摘要：Let F-k denote the k-fan consisting of k triangles which intersect in exactly one common vertex, and S-n,S-k the complete split graph of order n consisting of a clique on k vertices and an independent set on the remaining vertices in which each vertex of the clique is adjacent to each vertex of the independent set. In this paper, it is shown that S-n,S-k is the unique graph attaining the maximum signless Laplacian spectral radius among all graphs of order n containing no F-k, provided that k >= 2and n >= 3k(2) - k - 2. (C) 2021 Elsevier Inc. All rights reserved.