Results 241 to 250 of about 4,479,442 (268)

On the distance signless Laplacian Estrada index of graphs

Asian-European Journal of Mathematics, 2021
The distance signless Laplacian eigenvalues [Formula: see text] of a connected graph [Formula: see text] are the eigenvalues of the distance signless Laplacian matrix of [Formula: see text], defined as [Formula: see text], where [Formula: see text] is ...
A. Alhevaz, M. Baghipur, H. Ramane, Xueliang Li   +3 more
semanticscholar   +1 more source

On the signless Laplacian Estrada index of cacti

Discrete Applied Mathematics, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kun Wang, Xiangfeng Pan, Wenjie Ning
openaire   +2 more sources

New Bounds for the Estrada Index of Phenylenes

Polycyclic aromatic compounds (Print), 2020
Let G be a molecular graph with n vertices, m edges and G(L) be a line graph. Both G and L can be represented by their adjacency matrices A and E, respectively. The eigenvalues of G and L are denoted by, and respectively.
Muhammad Aamer Rashid, Sarfraz Ahmad, M. K. Siddiqui, A. Jahanbani, S. Sheikholeslami, Z. Shao   +5 more
semanticscholar   +1 more source

Hermitian energy and Hermitian Estrada index of digraphs

Asian-European Journal of Mathematics, 2020
Let [Formula: see text] be a digraph of order [Formula: see text], and [Formula: see text] be spectrum of the Hermitian adjacency matrix. The main purpose of this paper is to introduce the Hermitian energy and Hermitian Estrada index of a digraph, both ...
A. Jahanbani
semanticscholar   +1 more source

Sharp lower bounds for the Laplacian Estrada index of graphs

Linear and multilinear algebra
Let G be a simple graph on n vertices, and let $ \lambda _1, \lambda _2, \ldots, \lambda _n $ λ1,λ2,…,λn be the Laplacian eigenvalues of G. The Laplacian Estrada index of G is defined as $ LEE(G)=\sum _{i=1}^ne^{\lambda _i} $ LEE(G)=∑i=1neλi.
S. Barik, Tahir Shamsher
semanticscholar   +1 more source

Bounds of the extended Estrada index of graphs

Applied Mathematics and Computation, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jing Li, Lu Qiao, Nan Gao
openaire   +1 more source

Tetracyclic graphs with maximal Estrada index

Discrete Mathematics, Algorithms and Applications, 2017
The Estrada index of a simple connected graph [Formula: see text] of order [Formula: see text] is defined as [Formula: see text], where [Formula: see text] are the eigenvalues of the adjacency matrix of [Formula: see text]. In this paper, we characterize all tetracyclic graphs of order [Formula: see text] with maximal Estrada index.
Nader Jafari Rad, Akbar Jahanbani, Doost Ali Mojdeh   +2 more
openaire   +2 more sources

New Lower Bounds for Estrada Index

Bulletin of the Malaysian Mathematical Sciences Society, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

On the energy and Estrada index of Cayley graphs

Discrete Mathematics, Algorithms and Applications, 2015
The concept of energy of a graph was first defined in 1978 by Gutman as the sum of the absolute values of the eigenvalues of its adjacency matrix. Let λ1, λ2, …, λn be eigenvalues of graph Γ, then the Estrada index of Γ is defined as [Formula: see text].
openaire   +2 more sources

ON THE DISTANCE ESTRADA INDEX OF GRAPHS

2009
The D-eigenval ues mu(1),mu(2)...,mu(n) of a connected graph G are the eigen-values of its distance matrix D. In this paper we define and investigate n the distance Estrada index of the graph G as DEE = DEE(G) = Sigma(n)(i=1) e(mu i) and obtain bounds for DEE(G) and some relation between DEE(G) and the distance energy.
GÜNGÖR, A.d., BOZKURT, S.b.
openaire   +2 more sources