The Laplacian-Energy-Like Invariants of Three Types of Lattices

被引:1
|
作者
Chu, Zheng-Qing [1 ]
Liu, Jia-Bao [1 ]
Li, Xiao-Xin [2 ]
机构
[1] Anhui Xinhua Univ, Dept Publ Courses, Hefei 230088, Anhui, Peoples R China
[2] Chizhou Univ, Coll Math & Comp, Chizhou 247000, Anhui, Peoples R China
关键词
KIRCHHOFF INDEX; SIGNLESS LAPLACIAN; SPECTRAL THEORY; GRAPHS;
D O I
10.1155/2016/7320107
中图分类号
O65 [分析化学];
学科分类号
070302 ; 081704 ;
摘要
This paper mainly studies the Laplacian-energy-like invariants of the modified hexagonal lattice, modified Union Jack lattice, and honeycomb lattice. By utilizing the tensor product of matrices and the diagonalization of block circulant matrices, we derive closed form formulas expressing the Laplacian-energy-like invariants of these lattices. In addition, we obtain explicit asymptotic values of these invariants with software-aided computations of some integrals.
引用
收藏
页数:8
相关论文
共 50 条
  • [1] Asymptotic Laplacian-energy-like invariant of lattices
    Liu, Jia-Bao
    Pan, Xiang-Feng
    Hu, Fu-Tao
    Hu, Feng-Feng
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 253 : 205 - 214
  • [2] On the Laplacian-energy-like invariant
    Das, Kinkar Ch.
    Gutman, Ivan
    Cevik, A. Sinan
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2014, 442 : 58 - 68
  • [3] On the Laplacian-energy-like invariant
    Gutman, I. (gutman@kg.ac.rs), 1600, Elsevier Inc. (442):
  • [4] On the Laplacian-Energy-Like of graphs
    You, Zhifu
    Liu, Bolian
    ARS COMBINATORIA, 2013, 110 : 355 - 369
  • [5] Minimizing the Laplacian-energy-like of graphs
    Luo, Gao-Xuan
    Gong, Shi-Cai
    Tian, Jing
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2024, 702 : 179 - 194
  • [6] On Laplacian-energy-like invariant of a graph
    Wang, Weizhong
    Luo, Yanfeng
    LINEAR ALGEBRA AND ITS APPLICATIONS, 2012, 437 (02) : 713 - 721
  • [7] ON LAPLACIAN-ENERGY-LIKE INVARIANT AND INCIDENCE ENERGY
    Pirzada, S.
    Ganie, Hilal A.
    TRANSACTIONS ON COMBINATORICS, 2015, 4 (03) : 25 - 35
  • [8] A Laplacian-energy-like invariant of a graph
    Liu, Jianping
    Liu, Bolian
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2008, 59 (02) : 355 - 372
  • [9] A Survey on the Laplacian-Energy-Like Invariant
    Liu, Bolian
    Huang, Yufei
    You, Zhifu
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2011, 66 (03) : 713 - 730
  • [10] On Laplacian-Energy-Like Invariant and Kirchhoff Index
    Pirzada, S.
    Ganie, Hilal A.
    Gutman, Ivan
    MATCH-COMMUNICATIONS IN MATHEMATICAL AND IN COMPUTER CHEMISTRY, 2015, 73 (01) : 41 - 59