Spreading Rate of Virus on Energy of Laplacian Intuitionistic Fuzzy Graph

Deepa, G.; Praba, B.; Chandrasekaran, V. M.

doi:10.5958/0974-360x.2016.00217.1

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2020

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“…The inventors of the Laplacian energy (Gutman & Zhou, 2006), as well as the scholars who later studied it, were solely interested in its mathematical properties. However, in recent years, the Laplacian energy has gained popularity for a variety of technical applications, mainly in the area of image analysis and pattern recognition (Luyuan et al, 2010), (Song et al, 2010), (Meng & Xiao, 2011), (Xiao et al, 2011), (Huigang et al, 2013), (Bai et al, 2014), (Deepa et al, 2016), (Pournami & Govindan, 2017), (Zou et al, 2018). In all the quoted papers, the Laplacian energy was computed according to Eq.…”

Section: Introductionmentioning

confidence: 99%

Two Laplacian energies and the relations between them

Gutman¹

2020

Vojnotehnički glasnik

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Introduction/purpose: The Laplacian energy (LE) is the sum of absolute values of the terms μ i -2m/n, where μ i , i=1,2,…,n, are the eigenvalues of the Laplacian matrix of the graph G with n vertices and m edges. In 2006, another quantity Z was introduced, based on Laplacian eigenvalues, which was also named "Laplacian energy". Z is the sum of squares of Laplacian eigenvalues. The aim of this work is to establish relations between LE and Z. Results: Lower and upper bounds for LE are deduced, in terms of Z. Conclusion: The paper contributes to the Laplacian spectral theory and the theory of graph energies. It is shown that, as a rough approximation, LE is proportional to the tem (Z-4m 2 /n) 1/2 .

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Section: Introductionmentioning

confidence: 99%

Two Laplacian energies and the relations between them

Gutman¹

2020

Vojnotehnički glasnik

View full text Add to dashboard Cite

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Spreading Rate of Virus on Energy of Laplacian Intuitionistic Fuzzy Graph

Cited by 1 publication

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Two Laplacian energies and the relations between them

Two Laplacian energies and the relations between them

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