Results 11 to 20 of about 4,479,442 (268)

A Note on the Estrada Index of the Aα-Matrix

Mathematics, 2021
Let G be a graph on n vertices. The Estrada index of G is an invariant that is calculated from the eigenvalues of the adjacency matrix of a graph. V. Nikiforov studied hybrids of A(G) and D(G) and defined the Aα-matrix for every real α∈[0,1] as: Aα(G)=αD(
Hans Nina, Jonnathan Rodríguez
exaly   +2 more sources

Maximum Estrada index of bicyclic graphs

Discrete Applied Mathematics, 2015
Let $G$ be a simple graph of order $n$, let $λ_1(G),λ_2(G),...,λ_n(G)$ be the eigenvalues of the adjacency matrix of $G$. The Esrada index of $G$ is defined as $EE(G)=\sum_{i=1}^{n}e^{λ_i(G)}$. In this paper we determine the unique graph with maximum Estrada index among bicyclic graphs with fixed order.
, Yi-Zheng Fan
exaly   +4 more sources

Amyloid-β acute exposition affects the CA1 hippocampal network activity and its topological organization, evaluated with multielectrode arrays [PDF]

Frontiers in Dementia
IntroductionNeuronal networks enable brain’s information processing through a well-coordinated activity. Disruptions in this activity can impair key brain functions such as synaptic plasticity and long-term memory.
David Alcantara-Gonzalez, Elizabeth Santiago, Elizabeth Santiago, Fernando Peña-Ortega   +3 more
doaj   +2 more sources

On the Estrada index of signed graphs

Filomat
Let ? = (G, ?) be a signed graph on n vertices with eigenvalues ?1, ?2,..., ?n. Then, the Estrada index of ? is defined as EE(?) = ?ni=1 e?i. In this paper, we characterize unicyclic signed graphs with the maximum Estrada index. Let Cn+ and Cn?
Tahir Shamsher, S. Pirzada, M. Bhat
semanticscholar   +2 more sources

A Note on Some Bounds of the α-Estrada Index of Graphs

Advances in Mathematical Physics, 2020
Let G be a simple graph with n vertices. Let A~αG=αDG+1−αAG, where 0≤α≤1 and AG and DG denote the adjacency matrix and degree matrix of G, respectively. EEαG=∑i=1neλi is called the α-Estrada index of G, where λ1,⋯,λn denote the eigenvalues of A~αG.
Yang Yang, Lizhu Sun, Changjiang Bu
doaj   +2 more sources

On the Estrada index of cactus graphs

Discrete Applied Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Faxu Li, Haixing Zhao, Xiujuan Ma
exaly   +2 more sources

Tricyclic graph with maximal Estrada index

Discrete Applied Mathematics, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Liansheng Tan, Zhongxun Zhu
exaly   +3 more sources

Exploring the properties of benzenoid hydrocarbons through QSPR modeling and domination-based energy parameters [PDF]

Scientific Reports
This article aims to explore two emerging areas of graph theory: chemical graph theory and domination theory. We specifically focus on a graph parameter that combines aspects of graph energy and domination, known as the dominating energy of a simple ...
Shanmugavelan Sankaran, Natarajan Chidambaram   +1 more
doaj   +2 more sources

Retracted: Computing the Energy and Estrada Index of Different Molecular Structures

Journal of Chemistry, 2023
Journal of Chemistry
doaj   +2 more sources

Alkanes with Greatest Estrada Index

Zeitschrift Fur Naturforschung - Section A Journal of Physical Sciences, 2007
If λ1 >λ2 ≥λ3 ≥ · · · ≥λn are the eigenvalues of the molecular graph, then the Estrada index, a recently conceived molecular structure-descriptor is EE = nΣ i=1eλi . The same alkanes, whose molecular graphs have extremal Wiener indices and λ1, are shown to be also extremal with regard to the Estrada index.
Violeta Markovic, Ivan Gutman, Boris Furtula   +2 more
exaly   +3 more sources