title: The Laplacian-Energy-Like Invariants of Three Types of Lattices.
abstract: 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.
authors.affiliation: Department of Public Courses, Anhui Xinhua University, Hefei, Anhui 230088, China.
authors.forename: Zheng-Qing
authors.initials: ZQ
authors.lastname: Chu
authors.affiliation: Department of Public Courses, Anhui Xinhua University, Hefei, Anhui 230088, China.
authors.forename: Jia-Bao
authors.initials: JB
authors.lastname: Liu
authors.affiliation: College of Mathematics and Computer, Chizhou University, Chizhou, Anhui 247000, China.
authors.forename: Xiao-Xin
authors.initials: XX
authors.lastname: Li