Results 11 to 20 of about 1,644,718 (204)

Relating Estrada index with spectral radius [PDF]

open access: diamondJournal of the Serbian Chemical Society, 2007
The Estrada index EE is a recently proposed molecular structure-descriptor, used in the modeling of certain features of the 3D structure of organic molecules, in particular of the degree of folding of proteins and other long-chain biopolymers.
Gutman Ivan   +4 more
doaj   +5 more sources

Optimal network modification for spectral radius dependent phase transitions

open access: goldNew Journal of Physics, 2016
The dynamics of contact processes on networks is often determined by the spectral radius of the networks adjacency matrices. A decrease of the spectral radius can prevent the outbreak of an epidemic, or impact the synchronization among systems of coupled
Yonatan Rosen   +2 more
doaj   +2 more sources

A note on distance spectral radius of trees

open access: goldSpecial Matrices, 2017
The distance spectral radius of a connected graph is the largest eigenvalue of its distance matrix. We determine the unique non-starlike non-caterpillar tree with maximal distance spectral radius.
Wang Yanna   +3 more
doaj   +2 more sources

The spectral radius of graphs with no odd wheels [PDF]

open access: greenEuropean journal of combinatorics (Print), 2021
S. Cioabă   +2 more
semanticscholar   +3 more sources

Joint and Generalized Spectral Radius of Upper Triangular Matrices with Entries in a Unital Banach Algebra [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
In this paper, we discuss some properties of joint spectral {radius(jsr)} and  generalized spectral radius(gsr)  for a finite set of upper triangular matrices with entries in a Banach algebra and represent relation between geometric and joint/generalized
Hamideh Mohammadzadehkan   +2 more
doaj   +1 more source

The spanning k-trees, perfect matchings and spectral radius of graphs [PDF]

open access: yesLinear and multilinear algebra, 2021
A k-tree is a spanning tree in which every vertex has degree at most k. In this paper, we provide a sufficient condition for the existence of a k-tree in a connected graph with fixed order in terms of the adjacency spectral radius and the signless ...
Dandan Fan   +3 more
semanticscholar   +1 more source

On the Aα-spectral radius of connected graphs

open access: yesArs Math. Contemp., 2022
For a simple graph G , the generalized adjacency matrix A α ( G ) is defined as A α ( G ) = αD ( G ) + (1 − α ) A ( G ) , α ∈ [0 , 1] , where A ( G ) is the adjacency matrix and D ( G ) is the diagonal matrix of the vertex degrees. It is clear that A 0 (
A. Alhevaz   +3 more
semanticscholar   +1 more source

Proof of a conjecture on the ϵ-spectral radius of trees

open access: yesAIMS Mathematics, 2023
The ϵ-spectral radius of a connected graph is the largest eigenvalue of its eccentricity matrix. In this paper, we identify the unique n-vertex tree with diameter 4 and matching number 5 that minimizes the ϵ-spectral radius, and thus resolve a conjecture
Jianping Li , Leshi Qiu , Jianbin Zhang
doaj   +1 more source

Unbalanced signed graphs with extremal spectral radius or index

open access: yesComputational and Applied Mathematics, 2022
Let G˙=(G,σ)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\dot{G}=(G ...
M. Brunetti, Z. Stanić
semanticscholar   +1 more source

A spectral method for retrieving cloud optical thickness and effective radius from surface-based transmittance measurements [PDF]

open access: yesAtmospheric Chemistry and Physics, 2011
We introduce a new spectral method for the retrieval of optical thickness and effective radius from cloud transmittance that relies on the spectral slope of the normalized transmittance between 1565 nm and 1634 nm, and on cloud transmittance at a visible
P. J. McBride   +4 more
doaj   +1 more source

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