MAJORIZATION BOUNDS FOR SIGNLESS LAPLACIAN EIGENVALUES

Küçük Resim Yok

Tarih

2013

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

INT LINEAR ALGEBRA SOC

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

It is known that, for a simple graph G and a real number alpha, the quantity s(alpha)'(G) is defined as the sum of the alpha-th power of non-zero singless Laplacian eigenvalues of G. In this paper, first some majorization bounds over s(alpha)'(G) are presented in terms of the degree sequences, and number of vertices and edges of G. Additionally, a connection between s(alpha)'(G) and the first Zagreb index, in which the Holder's inequality plays a key role, is established. In the last part of the paper, some bounds (included Nordhauss-Gaddum type) for signless Laplacian Estrada index are presented.

Açıklama

Anahtar Kelimeler

Signless Laplacian matrix, Signless Laplacian-Estrada index, (First) Zagreb index, Majorization, Strictly Schur-convex

Kaynak

ELECTRONIC JOURNAL OF LINEAR ALGEBRA

WoS Q Değeri

Q3

Scopus Q Değeri

Q2

Cilt

26

Sayı

Künye