Next Article in Journal
Binary Icosahedral Group and 600-Cell
Previous Article in Journal
A Fuzzy Set-Valued Autoregressive Moving Average Model and Its Applications
Article Menu
Issue 8 (August) cover image

Export Article

Open AccessArticle
Symmetry 2018, 10(8), 325; https://doi.org/10.3390/sym10080325

Lower Bounds for Gaussian Estrada Index of Graphs

School of Mathematical Sciences, Tongji University, Shanghai 200092, China
Received: 3 July 2018 / Revised: 3 August 2018 / Accepted: 6 August 2018 / Published: 7 August 2018
Full-Text   |   PDF [239 KB, uploaded 8 August 2018]

Abstract

Suppose that G is a graph over n vertices. G has n eigenvalues (of adjacency matrix) represented by λ1,λ2,,λn. The Gaussian Estrada index, denoted by H(G) (Estrada et al., Chaos 27(2017) 023109), can be defined as H(G)=i=1neλi2. Gaussian Estrada index underlines the eigenvalues close to zero, which plays an important role in chemistry reactions, such as molecular stability and molecular magnetic properties. In a network of particles governed by quantum mechanics, this graph-theoretic index is known to account for the information encoded in the eigenvalues of the Hamiltonian near zero by folding the graph spectrum. In this paper, we establish some new lower bounds for H(G) in terms of the number of vertices, the number of edges, as well as the first Zagreb index. View Full-Text
Keywords: Gaussian Estrada index; Zagreb index; lower bound; graph spectrum Gaussian Estrada index; Zagreb index; lower bound; graph spectrum
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
SciFeed

Share & Cite This Article

MDPI and ACS Style

Shang, Y. Lower Bounds for Gaussian Estrada Index of Graphs. Symmetry 2018, 10, 325.

Show more citation formats Show less citations formats

Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Related Articles

Article Metrics

Article Access Statistics

1

Comments

[Return to top]
Symmetry EISSN 2073-8994 Published by MDPI AG, Basel, Switzerland RSS E-Mail Table of Contents Alert
Back to Top