Bounds for the signless Laplacian energy of digraphs

Weige Xi; Ligong Wang

doi:10.1007/s13226-017-0233-8

Bounds for the signless Laplacian energy of digraphs

Weige Xi, Ligong Wang

School of Mathematics and Statistics

Northwestern Polytechnical University Xian

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

5 Scopus citations

Abstract

Let G be a digraph with n vertices, a arcs, c₂ directed closed walks of length 2. Let q1; q2;:::; q_n be the eigenvalues of the signless Laplacian matrix of G. The signless Laplacian energy of a digraph G is defined as E_SL(G) = ∑i=1n|qi−an|. In this paper, some lower and upper bounds are derived for the signless Laplacian energy of digraphs.

Original language	English
Pages (from-to)	411-421
Number of pages	11
Journal	Indian Journal of Pure and Applied Mathematics
Volume	48
Issue number	3
DOIs	https://doi.org/10.1007/s13226-017-0233-8
State	Published - 1 Sep 2017

Keywords

digraph
Energy
signless Laplacian energy

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abstract = "Let G be a digraph with n vertices, a arcs, c2 directed closed walks of length 2. Let q1; q2;:::; qn be the eigenvalues of the signless Laplacian matrix of G. The signless Laplacian energy of a digraph G is defined as ESL(G) = ∑i=1n|qi−an|. In this paper, some lower and upper bounds are derived for the signless Laplacian energy of digraphs.",

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AB - Let G be a digraph with n vertices, a arcs, c2 directed closed walks of length 2. Let q1; q2;:::; qn be the eigenvalues of the signless Laplacian matrix of G. The signless Laplacian energy of a digraph G is defined as ESL(G) = ∑i=1n|qi−an|. In this paper, some lower and upper bounds are derived for the signless Laplacian energy of digraphs.

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Bounds for the signless Laplacian energy of digraphs

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Keywords

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