On graphs with exactly three Q-eigenvalues at least two

被引:2
|
作者
Wang, JianFeng [1 ]
Belardo, Francesco [2 ]
Wang, Wei [1 ]
Huang, QiongXiang [3 ]
机构
[1] QingHai Normal Univ, Dept Math, Xining 810008, Qinghai, Peoples R China
[2] Univ Messina, Dept Math & Comp Sci, I-98166 Messina, Italy
[3] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
基金
中国国家自然科学基金;
关键词
Signless Laplacian; Circumference; Q-matrix; Graph eigenvalue; HIGH-ENERGY BAND; GREATER-THAN; 2; LAPLACIAN EIGENVALUES; SIGNLESS LAPLACIAN; SMALL NUMBER; SPECTRUM;
D O I
10.1016/j.laa.2012.11.032
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
For a graph G, we here investigate its signless Laplacian matrix Q(G) and the corresponding Q-eigenvalues. By considering the relation between the Q-spectrum and the circumference of G, we characterize all connected graphs with exactly three Q-eigenvalues at least two. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码:2861 / 2879
页数:19
相关论文
共 50 条
  • [1] On the two largest Q-eigenvalues of graphs
    Wang, JianFeng
    Belardo, Francesco
    Huang, QiongXiang
    Borovicanin, Bojana
    [J]. DISCRETE MATHEMATICS, 2010, 310 (21) : 2858 - 2866
  • [2] Least Q-eigenvalues of nonbipartite 2-connected graphs
    Yu, Guanglong
    Sun, Lin
    Yan, Chao
    Wu, Yarong
    Zhang, Hailiang
    [J]. DISCRETE APPLIED MATHEMATICS, 2021, 297 : 71 - 79
  • [3] On Graphs with Exactly Three Q-main Eigenvalues
    Javarsineh, Mehrnoosh
    Fath-Tabar, Gholam Hossein
    [J]. FILOMAT, 2017, 31 (06) : 1803 - 1812
  • [4] Main Q-eigenvalues and generalized Q-cospectrality of graphs
    Tianyi Bu
    Lizhu Sun
    Wenzhe Wang
    Jiang Zhou
    [J]. Indian Journal of Pure and Applied Mathematics, 2014, 45 : 531 - 538
  • [5] MAIN Q-EIGENVALUES AND GENERALIZED Q-COSPECTRALITY OF GRAPHS
    Bu, Tianyi
    Sun, Lizhu
    Wang, Wenzhe
    Zhou, Jiang
    [J]. INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, 2014, 45 (04): : 531 - 538
  • [6] Unicyclic and bicyclic graphs with exactly three Q-main eigenvalues
    Javarsineh, Mehrnoosh
    Fath-Tabar, Gholam Hossein
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2017, 315 : 603 - 614
  • [7] Trees, Unicyclic Graphs and Bicyclic Graphs with Exactly Two Q-main Eigenvalues
    Chen, Lin
    Huang, Qiong Xiang
    [J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2013, 29 (11) : 2193 - 2208
  • [8] Trees, unicyclic graphs and bicyclic graphs with exactly two Q-main eigenvalues
    Lin Chen
    Qiong Xiang Huang
    [J]. Acta Mathematica Sinica, English Series, 2013, 29 : 2193 - 2208
  • [9] Trees,Unicyclic Graphs and Bicyclic Graphs with Exactly Two Q-main Eigenvalues
    Lin CHEN
    Qiong Xiang HUANG
    [J]. Acta Mathematica Sinica,English Series, 2013, (11) : 2193 - 2208
  • [10] Trees,Unicyclic Graphs and Bicyclic Graphs with Exactly Two Q-main Eigenvalues
    Lin CHEN
    Qiong Xiang HUANG
    [J]. Acta Mathematica Sinica(New Series)., 2013, 29 (11) - 2208