On the Laplacian Estrada index of a graph

Jianxi Li*, Wai Chee SHIU, An Chang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)

Abstract

Let G be a graph of order n. Let λ1, λ2, ... , λn be the eigenvalues of the adjacency matrix of G, and let μ1, μ2, ... , μn be the eigenvalues of the Laplacian matrix of G. Much studied Estrada index of the graph G is defined as We define and investigate the Laplacian Estrada index of the graph G, Bounds for LEE are obtained, as well as some relations between LEE and graph Laplacian energy.

Original languageEnglish
Pages (from-to)147-156
Number of pages10
JournalApplicable Analysis and Discrete Mathematics
Volume3
Issue number1
DOIs
Publication statusPublished - Apr 2009

Scopus Subject Areas

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

User-Defined Keywords

  • Bound
  • Laplacian energy
  • Laplacian estrada index

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