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...

Descripción completa

Detalles Bibliográficos
Autores principales: Chu, Zheng-Qing, Liu, Jia-Bao, Li, Xiao-Xin
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2016
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4829794/
https://www.ncbi.nlm.nih.gov/pubmed/27190675
http://dx.doi.org/10.1155/2016/7320107
_version_ 1782426796522733568
author Chu, Zheng-Qing
Liu, Jia-Bao
Li, Xiao-Xin
author_facet Chu, Zheng-Qing
Liu, Jia-Bao
Li, Xiao-Xin
author_sort Chu, Zheng-Qing
collection PubMed
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.
format Online
Article
Text
id pubmed-4829794
institution National Center for Biotechnology Information
language English
publishDate 2016
publisher Hindawi Publishing Corporation
record_format MEDLINE/PubMed
spelling pubmed-48297942016-05-17 The Laplacian-Energy-Like Invariants of Three Types of Lattices Chu, Zheng-Qing Liu, Jia-Bao Li, Xiao-Xin J Anal Methods Chem Research Article 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. Hindawi Publishing Corporation 2016 2016-03-30 /pmc/articles/PMC4829794/ /pubmed/27190675 http://dx.doi.org/10.1155/2016/7320107 Text en Copyright © 2016 Zheng-Qing Chu et al. https://creativecommons.org/licenses/by/4.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Chu, Zheng-Qing
Liu, Jia-Bao
Li, Xiao-Xin
The Laplacian-Energy-Like Invariants of Three Types of Lattices
title 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_short The Laplacian-Energy-Like Invariants of Three Types of Lattices
title_sort laplacian-energy-like invariants of three types of lattices
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4829794/
https://www.ncbi.nlm.nih.gov/pubmed/27190675
http://dx.doi.org/10.1155/2016/7320107
work_keys_str_mv AT chuzhengqing thelaplacianenergylikeinvariantsofthreetypesoflattices
AT liujiabao thelaplacianenergylikeinvariantsofthreetypesoflattices
AT lixiaoxin thelaplacianenergylikeinvariantsofthreetypesoflattices
AT chuzhengqing laplacianenergylikeinvariantsofthreetypesoflattices
AT liujiabao laplacianenergylikeinvariantsofthreetypesoflattices
AT lixiaoxin laplacianenergylikeinvariantsofthreetypesoflattices

Ejemplares similares