The normalized laplacian estrada index of a graph

Jian Xi Li; Ji Ming Guo; Wai Chee Shiu

doi:10.2298/FIL1402365L

The normalized laplacian estrada index of a graph

Jian Xi Li^*, Ji Ming Guo, Wai Chee Shiu

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Journal article › peer-review

11 Citations (Scopus)

Abstract

In this paper, we define and investigate the normalized Laplacian Estrada index of a graph. Some bounds for the normalized Laplacian Estrada index of a graph in term of its vertex number, maximum (or minimum) degree are obtained, some inequalities between the normalized Laplacian Estrada and the normalized Laplacian energy are also obtained.

Original language	English
Pages (from-to)	365-371
Number of pages	7
Journal	Filomat
Volume	28
Issue number	2
DOIs	https://doi.org/10.2298/FIL1402365L
Publication status	Published - Feb 2014

Scopus Subject Areas

General Mathematics

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Bound
Graph
Normalized laplacian estrada index

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10.2298/FIL1402365L

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abstract = "In this paper, we define and investigate the normalized Laplacian Estrada index of a graph. Some bounds for the normalized Laplacian Estrada index of a graph in term of its vertex number, maximum (or minimum) degree are obtained, some inequalities between the normalized Laplacian Estrada and the normalized Laplacian energy are also obtained.",

keywords = "Bound, Graph, Normalized laplacian estrada index",

author = "Li, {Jian Xi} and Guo, {Ji Ming} and Shiu, {Wai Chee}",

note = "Research supported by NSF of China(Nos.11101358, 61379021,11371372); NSF of Fujian(Nos.2011J05014, 2011J01026, 2012D140); Project of Fujian Education Department(Nos.JA11165, JA12208, JA12209); General Research Fund of Hong Kong; FRG of Hong Kong Baptist University.",

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AU - Li, Jian Xi

AU - Guo, Ji Ming

AU - Shiu, Wai Chee

N1 - Research supported by NSF of China(Nos.11101358, 61379021,11371372); NSF of Fujian(Nos.2011J05014, 2011J01026, 2012D140); Project of Fujian Education Department(Nos.JA11165, JA12208, JA12209); General Research Fund of Hong Kong; FRG of Hong Kong Baptist University.

PY - 2014/2

Y1 - 2014/2

N2 - In this paper, we define and investigate the normalized Laplacian Estrada index of a graph. Some bounds for the normalized Laplacian Estrada index of a graph in term of its vertex number, maximum (or minimum) degree are obtained, some inequalities between the normalized Laplacian Estrada and the normalized Laplacian energy are also obtained.

AB - In this paper, we define and investigate the normalized Laplacian Estrada index of a graph. Some bounds for the normalized Laplacian Estrada index of a graph in term of its vertex number, maximum (or minimum) degree are obtained, some inequalities between the normalized Laplacian Estrada and the normalized Laplacian energy are also obtained.

KW - Bound

KW - Graph

KW - Normalized laplacian estrada index

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DO - 10.2298/FIL1402365L

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The normalized laplacian estrada index of a graph

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