文献类型：期刊文献

英文题名：Maxima of L-index and Q-index: Graphs with given size and diameter

作者：Lou, Zhenzhen[1,2];Guo, Ji-Ming[1];Wang, Zhiwen[3,4]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Univ Shanghai Sci & Technol, Coll Sci, Shanghai 200093, Peoples R China;[3]NanKai Univ, Sch Math Sci, Tianjin 300071, Peoples R China;[4]NanKai Univ, LPMC, Tianjin 300071, Peoples R China

年份：2021

卷号：344

期号：10

外文期刊名：DISCRETE MATHEMATICS

收录：;WOS:【SCI-EXPANDED(收录号:WOS:000678502000009)】；

基金：This work is supported by National Natural Science Foundation of China (Nos. 12061074; 11371372) , the China Postdoctoral Science Foundation (No. 2019M661398) .

语种：英文

外文关键词：Laplacian matrix; Signless Laplacian matrix; Size; Diameter; Index

摘要：The L-index (resp. Q-index) of a graph G is the largest eigenvalue of the Laplacian matrix (resp. signless Laplacian matrix) of G. In this paper, we determine the maximal Q-index (and L-index) of connected graphs with fixed size and diameter. As by-products, we deduce a result due to Lal and Patra (2007) [9] regarding the maximal L-index of trees with fixed order (or size) and diameter. (C) 2021 Elsevier B.V. All rights reserved.