[图书][B] Inequalities for graph eigenvalues

Z Stanić - 2015 - books.google.com
Written for mathematicians working with the theory of graph spectra, this book explores more
than 400 inequalities for eigenvalues of the six matrices associated with finite simple graphs …

The many facets of the Estrada indices of graphs and networks

E Estrada - SeMA Journal, 2022 - Springer
The Estrada index of a graph/network is defined as the trace of the adjacency matrix
exponential. It has been extended to other graph-theoretic matrices, such as the Laplacian …

Note on Estrada and L-Estrada indices of graphs

GH Fath-Tabar, AR Ashrafi, I Gutman - … (Académie serbe des sciences et des …, 2009 - JSTOR
Let G be a graph of order n. Let λ₁, λ₂.., λn be its eigenvalues and μ₁, μ₂.., μn its
Laplacian eigenvalues. The Estrada index of the graph G is defined as the sum of the terms …

[PDF][PDF] The Estrada index: an updated survey

I Gutman, H Deng, S Radenkovic - Selected Topics on Applications of …, 2011 - mi.sanu.ac.rs
If λi, i= 1, 2,..., n, are the eigenvalues of the graph G, then the Estrada index EE of G is the
sum of the terms eλi. This graph invariant appeared for the first time in year 2000, in a paper …

[PDF][PDF] On Estrada index

B Zhou - MATCH Commun. Math. Comput. Chem, 2008 - researchgate.net
Let G be a graph with n vertices and let λ1, λ2,..., λn be its eigenvalues. The Estrada index of
G is EE (G)= n∑ i= 1 eλi. We present some lower and upper bounds for EE (G) in terms of …

[PDF][PDF] The estrada index

H Deng, S Radenkovic, I Gutman - Applications of Graph …, 2009 - turing.mi.sanu.ac.rs
If λi, i= 1, 2,..., n, are the eigenvalues of the graph G, then the Estrada index EE of G is the
sum of the terms e λi. This graph invariant appeared for the first time in year 2000, in a paper …

[PDF][PDF] More on the Laplacian Estrada index

B Zhou, I Gutman - Applicable Analysis and Discrete Mathematics, 2009 - doiserbia.nb.rs
Let G be a graph with n vertices and let μ1, μ2,..., μn be its Laplacian eigenvalues. In some
recent works a quantity called Laplacian Estrada index was considered, defined as LEE (G) …

New upper bounds for Estrada index of bipartite graphs

GH Fath-Tabar, AR Ashrafi - Linear algebra and its applications, 2011 - Elsevier
Suppose G is a graph and λ1, λ2,…, λn are the eigenvalues of G. The Estrada index EE (G)
of G is defined as the sum of [Formula: see text], 1≤ i≤ n. In this paper some new upper …

[HTML][HTML] Bounds on the Estrada index of ISR (4, 6)-fullerenes

AR Ashrafi, GH Fath-Tabar - Applied Mathematics Letters, 2011 - Elsevier
Bounds on the Estrada index of ISR (4,6)-fullerenes - ScienceDirect Skip to main contentSkip
to article Elsevier logo Journals & Books Search RegisterSign in View PDF Download full …

[PDF][PDF] The normalized Laplacian Estrada index of graphs

M Hakimi-Nezhaad, H Hua, AR Ashrafi… - J. Appl. Math. & …, 2014 - academia.edu
Suppose G is a simple graph. The ℓ-eigenvalues δ1, δ2,..., δn of G are the eigenvalues of its
normalized Laplacian ℓ. The normalized Laplacian Estrada index of the graph G is defined …