Open Access
2014 On the Incidence Energy of Some Toroidal Lattices
Jia-Bao Liu, Jinde Cao, Jin Xie
Abstr. Appl. Anal. 2014(SI38): 1-6 (2014). DOI: 10.1155/2014/568153


The incidence energy I 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.


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Jia-Bao Liu. Jinde Cao. Jin Xie. "On the Incidence Energy of Some Toroidal Lattices." Abstr. Appl. Anal. 2014 (SI38) 1 - 6, 2014.


Published: 2014
First available in Project Euclid: 27 February 2015

zbMATH: 07022623
MathSciNet: MR3259159
Digital Object Identifier: 10.1155/2014/568153

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI38 • 2014
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