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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| Format: | Article |
| Language: | English |
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Wiley
2016-01-01
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| Series: | Journal of Analytical Methods in Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2016/7320107 |
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| author | Zheng-Qing Chu Jia-Bao Liu Xiao-Xin Li |
| author_facet | Zheng-Qing Chu Jia-Bao Liu Xiao-Xin Li |
| author_sort | Zheng-Qing Chu |
| collection | DOAJ |
| 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 | Article |
| id | doaj-art-85dad5ce1ed34131b617e142cb1360fc |
| institution | Kabale University |
| issn | 2090-8865 2090-8873 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Analytical Methods in Chemistry |
| spelling | doaj-art-85dad5ce1ed34131b617e142cb1360fc2025-02-03T05:58:24ZengWileyJournal 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 |
| 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 |
| 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 |
| url | http://dx.doi.org/10.1155/2016/7320107 |
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