The Laplacian energy and Laplacian Estrada index of random multipartite graphs

Dan Hu; Xueliang Li; Xiaogang Liu; Shenggui Zhang

doi:10.1016/j.jmaa.2016.05.049

The Laplacian energy and Laplacian Estrada index of random multipartite graphs

Dan Hu
, Xueliang Li
, Xiaogang Liu
, Shenggui Zhang

School of Mathematics and Statistics

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

4 Scopus citations

Abstract

Let G be a simple graph on n vertices and m edges and μ₁, μ₂,...,μ_n be the eigenvalues of the Laplacian matrix of G. The Laplacian energy of G is defined as E_L(G)=∑_i=1ⁿ|μ_i-2m/n| and the Laplacian Estrada index of G is defined as LEE(G)=∑_i=1ⁿe^μ_i-2m/n. In this paper we establish asymptotic lower and upper bounds to the Laplacian energy and Laplacian Estrada index, respectively, for random multipartite graphs.

Original language	English
Pages (from-to)	675-687
Number of pages	13
Journal	Journal of Mathematical Analysis and Applications
Volume	443
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2016.05.049
State	Published - 15 Nov 2016

Keywords

Laplacian Estrada index
Laplacian energy
Random multipartite graph

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10.1016/j.jmaa.2016.05.049

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title = "The Laplacian energy and Laplacian Estrada index of random multipartite graphs",

abstract = "Let G be a simple graph on n vertices and m edges and μ1, μ2,...,μn be the eigenvalues of the Laplacian matrix of G. The Laplacian energy of G is defined as EL(G)=∑i=1n|μi-2m/n| and the Laplacian Estrada index of G is defined as LEE(G)=∑i=1neμi-2m/n. In this paper we establish asymptotic lower and upper bounds to the Laplacian energy and Laplacian Estrada index, respectively, for random multipartite graphs.",

keywords = "Laplacian Estrada index, Laplacian energy, Random multipartite graph",

author = "Dan Hu and Xueliang Li and Xiaogang Liu and Shenggui Zhang",

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year = "2016",

month = nov,

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doi = "10.1016/j.jmaa.2016.05.049",

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T1 - The Laplacian energy and Laplacian Estrada index of random multipartite graphs

AU - Hu, Dan

AU - Li, Xueliang

AU - Liu, Xiaogang

AU - Zhang, Shenggui

PY - 2016/11/15

Y1 - 2016/11/15

N2 - Let G be a simple graph on n vertices and m edges and μ1, μ2,...,μn be the eigenvalues of the Laplacian matrix of G. The Laplacian energy of G is defined as EL(G)=∑i=1n|μi-2m/n| and the Laplacian Estrada index of G is defined as LEE(G)=∑i=1neμi-2m/n. In this paper we establish asymptotic lower and upper bounds to the Laplacian energy and Laplacian Estrada index, respectively, for random multipartite graphs.

AB - Let G be a simple graph on n vertices and m edges and μ1, μ2,...,μn be the eigenvalues of the Laplacian matrix of G. The Laplacian energy of G is defined as EL(G)=∑i=1n|μi-2m/n| and the Laplacian Estrada index of G is defined as LEE(G)=∑i=1neμi-2m/n. In this paper we establish asymptotic lower and upper bounds to the Laplacian energy and Laplacian Estrada index, respectively, for random multipartite graphs.

KW - Laplacian Estrada index

KW - Laplacian energy

KW - Random multipartite graph

UR - https://www.scopus.com/pages/publications/84973547955

U2 - 10.1016/j.jmaa.2016.05.049

DO - 10.1016/j.jmaa.2016.05.049

M3 - 文章

AN - SCOPUS:84973547955

SN - 0022-247X

VL - 443

SP - 675

EP - 687

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 2

ER -

The Laplacian energy and Laplacian Estrada index of random multipartite graphs

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