Published January 1, 2018 | Version v1
Journal article Open

Bounding the sum of powers of normalized Laplacian eigenvalues of a graph

  • 1. Minnan Normal Univ, Sch Math & Stat, Zhangzhou, Fujian, Peoples R China
  • 2. East China Univ Sci & Technol, Dept Math, Shanghai, Peoples R China
  • 3. Hong Kong Baptist Univ, Dept Math, Kowloon, Hong Kong, Peoples R China
  • 4. Selcuk Univ, Sci Fac, Dept Math, TR-42075 Campus, Konya, Turkey

Description

Let G be a simple connected graph of order n. Its normalized Laplacian eigenvalues are lambda(1) > lambda(2) > ... >lambda(n-1) > lambda(n) = 0. In this paper, new bounds on S-beta*(G) = Sigma (i = 1) (n-1) lambda(beta)(i) (beta not equal 0.1) are derived. (C) 2017 Elsevier Inc. All rights reserved.

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