On the incidence energy of some toroidal lattices
type: Item
instance of: scholarly article
title: On the incidence energy of some toroidal lattices
zbMATH Open document ID: 1474.05251
DOI: 10.1155/2014/568153
author: Jiabao Liu
author: Jin Xie
author: Jinde Cao
published in: Abstract and Applied Analysis
publication date: 2019-02-14T00:00:00Z
review text: Summary: The incidence energy \(\text{I} \text{E}(G)\), defined as the sum of the singular values of the incidence matrix of \(G\), is a much studied quantity with well known applications in chemical physics. In this paper, we derived the closed-form formulae expressing the incidence energy of the 3.12.12 lattice, triangular kagomé lattice, and \(S(m, n)\) lattice, respectively. Simultaneously, the explicit asymptotic values of the incidence energy in these lattices are obtained by utilizing the applications of analysis method with the help of software calculation.
Mathematics Subject Classification ID: 05C50
zbMATH DE Number: 7022623
Wikidata QID: Q59039497
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/568153
OpenAlex ID: W2103690717
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description: scientific article; zbMATH DE number 7022623