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

Let G be a connected graph of order n with Laplacian eigenvalues [Formula: see text] . The Laplacian-energy-like invariant of G, is defined as [Formula: see text] . In this paper, we investigate the asymptotic behavior of the 3.6.24 lattice in terms of Laplacian-energy-like invariant as m, n approac...

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Detalles Bibliográficos
Autores principales: Liu, Jia-Bao, Cao, Jinde, Hayat, Tasawar, Alsaadi, Fuad E.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2016
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4996819/
https://www.ncbi.nlm.nih.gov/pubmed/27625970
http://dx.doi.org/10.1186/s40064-016-3028-1
Descripción
Sumario:Let G be a connected graph of order n with Laplacian eigenvalues [Formula: see text] . The Laplacian-energy-like invariant of G, is defined as [Formula: see text] . 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 [Formula: see text] , [Formula: see text] and [Formula: see text] have the same asymptotic Laplacian-energy-like invariants.

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