Bounds for the signless Laplacian energy of digraphs

Weige Xi () and Ligong Wang ()
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Weige Xi: Northwestern Polytechnical University
Ligong Wang: Northwestern Polytechnical University

Indian Journal of Pure and Applied Mathematics, 2017, vol. 48, issue 3, 411-421

Abstract: Abstract Let G be a digraph with n vertices, a arcs, c 2 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) = $$\sum\limits_{i = 1}^n {\left| {{q_i} - \frac{a}{n}} \right|} $$ ∑ i = 1 n | q i − a n | . In this paper, some lower and upper bounds are derived for the signless Laplacian energy of digraphs.

Keywords: Energy; signless Laplacian energy; digraph (search for similar items in EconPapers)
Date: 2017
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DOI: 10.1007/s13226-017-0233-8

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