A note on new bounds for the Estrada Index

A note on new bounds for the Estrada Index

Let G be a graph on n vertices and λ1,λ2,…,λn their eigenvalues. The Estrada index of G is defined as EE(G)=∑i=1neλi. In this paper, we obtain new upper and lower bounds on the Estrada Index of a given graph, considering numerical inequalities present in the literature.

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Bibliographische Detailangaben
Veröffentlicht in:Linear algebra and its applications 2019-11, Vol.580, p.121-127
1. Verfasser: Rodríguez, Jonnathan
Format: Artikel
Sprache:eng
Schlagworte:
Adjacency matrix
Apexes
Eigenvalues
Estrada Index
Graph theory
Inequalities
Linear algebra
Lower bound
Lower bounds
Upper bound
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Beschreibung
Zusammenfassung:Let G be a graph on n vertices and λ1,λ2,…,λn their eigenvalues. The Estrada index of G is defined as EE(G)=∑i=1neλi. In this paper, we obtain new upper and lower bounds on the Estrada Index of a given graph, considering numerical inequalities present in the literature.
ISSN:0024-3795
1873-1856
DOI:10.1016/j.laa.2019.06.022