On the Sum of Powers of Normalized Laplacian Eigenvalues of Graphs

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Tarih

2012

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Yayıncı

Univ Kragujevac, Fac Science

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

For a graph G without isolated vertices and a real alpha not equal 0, we introduce a new graph invariant s(alpha)(*) (G)- the sum of the alpha th power of the non-zero normalized Laplacian eigenvalues of G. Recently, the cases alpha = 2 and -1 have appeared in various problems in the literature. Here, we present some lower and upper bounds of s(alpha)(*)(G) for a connected graph G, where alpha not equal 0, 1. We also discuss the case alpha = -1.

Açıklama

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Kaynak

Match-communications in Mathematical and in Computer Chemistry

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

68

Sayı

3

Künye

Bozkurt, S. B., Bozkurt, D., (2012). On the Sum of Powers of Normalized Laplacian Eigenvalues of Graphs. Match-communications in Mathematical and in Computer Chemistry, 68(3), 917-930.