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

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 Laplaci...

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Main Authors:	Zheng-Qing Chu, Jia-Bao Liu, Xiao-Xin Li
Format:	Article
Language:	English
Published:	Hindawi Limited 2016-01-01
Series:	Journal of Analytical Methods in Chemistry
Online Access:	http://dx.doi.org/10.1155/2016/7320107

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spelling	doaj-85dad5ce1ed34131b617e142cb1360fc2020-11-24T21:28:26ZengHindawi LimitedJournal of Analytical Methods in Chemistry2090-88652090-88732016-01-01201610.1155/2016/73201077320107The Laplacian-Energy-Like Invariants of Three Types of LatticesZheng-Qing Chu0Jia-Bao Liu1Xiao-Xin Li2Department of Public Courses, Anhui Xinhua University, Hefei, Anhui 230088, ChinaDepartment of Public Courses, Anhui Xinhua University, Hefei, Anhui 230088, ChinaCollege of Mathematics and Computer, Chizhou University, Chizhou, Anhui 247000, ChinaThis 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.http://dx.doi.org/10.1155/2016/7320107
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Zheng-Qing Chu Jia-Bao Liu Xiao-Xin Li
spellingShingle	Zheng-Qing Chu Jia-Bao Liu Xiao-Xin Li The Laplacian-Energy-Like Invariants of Three Types of Lattices Journal of Analytical Methods in Chemistry
author_facet	Zheng-Qing Chu Jia-Bao Liu Xiao-Xin Li
author_sort	Zheng-Qing Chu
title	The Laplacian-Energy-Like Invariants of Three Types of Lattices
title_short	The Laplacian-Energy-Like Invariants of Three Types of Lattices
title_full	The Laplacian-Energy-Like Invariants of Three Types of Lattices
title_fullStr	The Laplacian-Energy-Like Invariants of Three Types of Lattices
title_full_unstemmed	The Laplacian-Energy-Like Invariants of Three Types of Lattices
title_sort	laplacian-energy-like invariants of three types of lattices
publisher	Hindawi Limited
series	Journal of Analytical Methods in Chemistry
issn	2090-8865 2090-8873
publishDate	2016-01-01
description	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.
url	http://dx.doi.org/10.1155/2016/7320107
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The Laplacian-Energy-Like Invariants of Three Types of Lattices

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