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
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