Sharp upper bounds on the spectral radius of the signless Laplacian matrix of a graph

Ana Sayfa / Yayınlar / Detay

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Applied Mathematics and Computation 2013 Cilt 219 Sayı 10

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Atıf

219

Cilt

5025-5032

Sayfa

Scopus Yazarları: Ayşe Dilek Maden, Kinkar Ch Das, A. Sinan Cevik

Özet

Let G=(V,E) be a simple connected graph. Denote by D(G) the diagonal matrix of its vertex degrees and by A(G) its adjacency matrix. Then the signless Laplacian matrix of G is Q(G)=D(G)+A(G). In this paper, we obtain some new and improved sharp upper bounds on the spectral radius q1(G) of the signless Laplacian matrix of a graph G. © 2012 Elsevier Inc. All rights reserved.

Anahtar Kelimeler (Scopus)

Graph Signless Laplacian Average degree of neighbors Bounds Degrees Spectral radius

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