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Abstract and Applied Analysis
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https://dx.doi.org/10.1155/201...
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On the Incidence Energy of Some Toroidal Lattices

On the incidence energy of some toroidal lattices
descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2014 English Publisher:WileyJournal:Abstract and Applied Analysis, volume 2,014, pages 1-6 (issn: 1085-3375, eissn: 1687-0409, Copyright policy )
Authors: Jia-Bao Liu; Jinde Cao; Jin Xie;

doi: 10.1155/2014/568153

On the Incidence Energy of Some Toroidal Lattices

Abstract

The incidence energyIE(G), defined as the sum of the singular values of the incidence matrix ofG, 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, andS(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.

Related Organizations
Keywords

Graphs and linear algebra (matrices, eigenvalues, etc.), QA1-939, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
3
Average
Average
Average
gold