On the Laplacian-energy-like invariant

Kinkar Ch Das; Ivan Gutman; A. Sinan Çevik

doi:10.1016/j.laa.2013.05.002

On the Laplacian-energy-like invariant

Kinkar Ch Das, Ivan Gutman, A. Sinan Çevik

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

27 Scopus citations

Abstract

Let G be a connected graph of order n with Laplacian eigenvalues μ₁≥μ₂≥⋯≥μ_n-1> μ_n=0. The Laplacian-energy-like invariant of the graph G is defined as LEL = LEL(G)= Σ_i=1^n-1√μi. Lower and upper bounds for LEL are obtained, in terms of n, number of edges, maximum vertex degree, and number of spanning trees.

Original language	English
Pages (from-to)	58-68
Number of pages	11
Journal	Linear Algebra and Its Applications
Volume	442
DOIs	https://doi.org/10.1016/j.laa.2013.05.002
State	Published - 1 Feb 2014

Keywords

Graph spectrum
Laplacian spectrum (of graph)
Laplacian-energy-like invariant
LEL

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10.1016/j.laa.2013.05.002

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title = "On the Laplacian-energy-like invariant",

abstract = "Let G be a connected graph of order n with Laplacian eigenvalues μ1≥μ2≥⋯≥μn-1> μn=0. The Laplacian-energy-like invariant of the graph G is defined as LEL = LEL(G)= Σi=1n-1√μi. Lower and upper bounds for LEL are obtained, in terms of n, number of edges, maximum vertex degree, and number of spanning trees.",

keywords = "Graph spectrum, Laplacian spectrum (of graph), Laplacian-energy-like invariant, LEL",

author = "Das, \{Kinkar Ch\} and Ivan Gutman and {\c C}evik, \{A. Sinan\}",

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doi = "10.1016/j.laa.2013.05.002",

language = "English",

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T1 - On the Laplacian-energy-like invariant

AU - Das, Kinkar Ch

AU - Gutman, Ivan

AU - Çevik, A. Sinan

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Y1 - 2014/2/1

N2 - Let G be a connected graph of order n with Laplacian eigenvalues μ1≥μ2≥⋯≥μn-1> μn=0. The Laplacian-energy-like invariant of the graph G is defined as LEL = LEL(G)= Σi=1n-1√μi. Lower and upper bounds for LEL are obtained, in terms of n, number of edges, maximum vertex degree, and number of spanning trees.

AB - Let G be a connected graph of order n with Laplacian eigenvalues μ1≥μ2≥⋯≥μn-1> μn=0. The Laplacian-energy-like invariant of the graph G is defined as LEL = LEL(G)= Σi=1n-1√μi. Lower and upper bounds for LEL are obtained, in terms of n, number of edges, maximum vertex degree, and number of spanning trees.

KW - Graph spectrum

KW - Laplacian spectrum (of graph)

KW - Laplacian-energy-like invariant

KW - LEL

UR - https://www.scopus.com/pages/publications/84890119620

U2 - 10.1016/j.laa.2013.05.002

DO - 10.1016/j.laa.2013.05.002

M3 - Article

AN - SCOPUS:84890119620

SN - 0024-3795

VL - 442

SP - 58

EP - 68

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

ER -

On the Laplacian-energy-like invariant

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Keywords

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