A unified approach to the asymptotic topological indices of various lattices

作者：

Highlights：

• We present a unified approach to the asymptotic topological indices of various lattices.

• We propose the topological indices per vertex problem for lattice systems.

• The explicit asymptotic values of Laplacian energies for various lattices are obtained.

• We deduce the Laplacian energies of many types of lattices are independent of various boundary conditions.

摘要

•We present a unified approach to the asymptotic topological indices of various lattices.•We propose the topological indices per vertex problem for lattice systems.•The explicit asymptotic values of Laplacian energies for various lattices are obtained.•We deduce the Laplacian energies of many types of lattices are independent of various boundary conditions.

论文关键词：Lattice,Incidence energy,Laplacian-energy-like invariant,Laplacian energy,Topological index

论文评审过程：Received 9 June 2015, Revised 28 July 2015, Accepted 1 August 2015, Available online 24 August 2015, Version of Record 24 August 2015.

论文官网地址：https://doi.org/10.1016/j.amc.2015.08.008