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

نویسندگان

  • Jia-Bao Liu
  • Jinde Cao
  • Tasawar Hayat
  • Fuad E. Alsaadi
چکیده

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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عنوان ژورنال:

دوره 5  شماره 

صفحات  -

تاریخ انتشار 2016