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Asymptotic behavior of Laplacian-energy-like invariant of the 3.6.24 lattice with various boundary conditions
Journal article   Open access  Peer reviewed

Asymptotic behavior of Laplacian-energy-like invariant of the 3.6.24 lattice with various boundary conditions

Jia-Bao Liu, Jinde Cao, Tasawar Hayat, Fuad E. Alsaadi and Fawaz E. Alsaadi
SpringerPlus, Vol.5(1), pp.1415-11
24/08/2016
DOI: https://doi.org/10.1186/s40064-016-3028-1
PMCID: PMC4996819
PMID: 27625970

Abstract

Multidisciplinary Sciences Science & Technology Science & Technology - Other Topics
Let G be a connected graph of order n with Laplacian eigenvalues mu(1)(G) >= mu(2)(G) >= ... >= mu(n)(G) = 0. The Laplacian-energy-like invariant of G, is defined as LEL(G) =Sigma(n-1)(l=1) root mu(i) In this paper, we investigate the asymptotic behavior of the 3.6.24 lattice in terms of Laplacian-energy-like invariant as m, n approach infinity. Additionally, we derive that M-t (n, m), M-c (n, m) and M-f (n, m) have the same asymptotic Laplacian-energy-like invariants.
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https://doi.org/10.1186/s40064-016-3028-1View
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