The signless Laplacian spectra of the corona and edge corona of two graphs

被引:45
作者
Wang, Shilin [1 ]
Zhou, Bo [1 ]
机构
[1] S China Normal Univ, Dept Math, Guangzhou 510631, Guangdong, Peoples R China
基金
中国国家自然科学基金;
关键词
signless Laplacian matrix; signless Laplacian spectrum; corona; edge corona; Kronecker product;
D O I
10.1080/03081087.2012.670236
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We give complete information about the signless Laplacian spectrum of the corona of a graph G(1) and a regular graph G(2), and complete information about the signless Laplacian spectrum of the edge corona of a connected regular graph G(1) and a regular graph G(2).
引用
收藏
页码:197 / 204
页数:8
相关论文
共 9 条
  • [1] [Anonymous], 1991, TOPICS MATRIX ANAL, DOI DOI 10.1017/CBO9780511840371
  • [2] The spectrum of the corona of two graphs
    Barik, S.
    Pati, S.
    Sarma, B. K.
    [J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2007, 21 (01) : 47 - 56
  • [3] Cvetkovi DM, 2008, BULLETIN, V137, P131
  • [4] Cvetkovic D., 1995, Spectra of Graphs: Theory and Applications
  • [5] Towards a spectral theory of graphs based on the signless Laplacian, II
    Cvetkovic, Dragos
    Simic, Slobodan K.
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (09) : 2257 - 2272
  • [6] Harary F., 1969, Graph Theory
  • [7] THE SPECTRUM OF THE EDGE CORONA OF TWO GRAPHS
    Hou, Yaoping
    Shiu, Wai-Chee
    [J]. ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2010, 20 : 586 - 594
  • [8] Spectra of coronae
    McLeman, Cam
    McNicholas, Erin
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2011, 435 (05) : 998 - 1007
  • [9] Signless Laplacian spectral radius and Hamiltonicity
    Zhou, Bo
    [J]. LINEAR ALGEBRA AND ITS APPLICATIONS, 2010, 432 (2-3) : 566 - 570