Novel Bounds for the Normalized Laplacian Estrada Index and Normalized Laplacian Energy

Gian Paolo Clemente, Alessandra Cornaro

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

For a simple and connected graph, several lower and upper bounds of graph invariants expressed in terms of the eigenvalues of the normalized Laplacian Matrix have been proposed in literature. In this paper, through a unied approach based on majorization techniques, we provide some novel inequalities depending on additional information on the localization of the eigenvalues of the normalized Laplacian matrix. Some numerical examples show how sharper results can be obtained with respect to those existing in literature.
Original languageEnglish
Pages (from-to)673-690
Number of pages18
JournalMatch
Publication statusPublished - 2017

Keywords

  • graphs
  • majorization
  • normalized Laplacian Estrada index
  • normalized Laplacian energy

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