Zobrazeno 1 - 10
of 114
pro vyhledávání: '"J. A. Méndez-Bermúdez"'
Publikováno v:
Mathematical Biosciences and Engineering, Vol 20, Iss 2, Pp 1801-1819 (2023)
In this paper, we perform analytical and statistical studies of Revan indices on graphs $ G $: $ R(G) = \sum_{uv \in E(G)} F(r_u, r_v) $, where $ uv $ denotes the edge of $ G $ connecting the vertices $ u $ and $ v $, $ r_u $ is the Revan degree of t
Externí odkaz:
https://doaj.org/article/586b3fb15a2c48d8a9eabfb199a19403
Publikováno v:
Mathematical Biosciences and Engineering, Vol 19, Iss 9, Pp 8908-8922 (2022)
The aim of this work is to obtain new inequalities for the variable symmetric division deg index $ SDD_\alpha(G) = \sum_{uv \in E(G)} (d_u^\alpha/d_v^\alpha+d_v^\alpha/d_u^\alpha) $, and to characterize graphs extremal with respect to them. Here, by
Externí odkaz:
https://doaj.org/article/da8b721cbc744f5e84fece60b9d10c71
Publikováno v:
Entropy, Vol 23, Iss 8, p 976 (2021)
We perform a detailed computational study of the recently introduced Sombor indices on random networks. Specifically, we apply Sombor indices on three models of random networks: Erdös-Rényi networks, random geometric graphs, and bipartite random ne
Externí odkaz:
https://doaj.org/article/2b16705746e54cc48eaf4196923ec333
Publikováno v:
Symmetry, Vol 12, Iss 8, p 1341 (2020)
We perform a detailed (computational) scaling study of well-known general indices (the first and second variable Zagreb indices, M1α(G) and M2α(G), and the general sum-connectivity index, χα(G)) as well as of general versions of indices of intere
Externí odkaz:
https://doaj.org/article/a2db8714df224dff96efa5d033f85a4a
Publikováno v:
Entropy, Vol 21, Iss 1, p 86 (2019)
We study the localization properties of the eigenvectors, characterized by their information entropy, of tight-binding random networks with balanced losses and gain. The random network model, which is based on Erdős–Rényi (ER) graphs, is defined
Externí odkaz:
https://doaj.org/article/c5f9672555f64b8f86b6d9f5f354cb87
Publikováno v:
Symmetry, Vol 10, Iss 10, p 456 (2018)
Some years ago, the harmonic polynomial was introduced to study the harmonic topological index. Here, using this polynomial, we obtain several properties of the harmonic index of many classical symmetric operations of graphs: Cartesian product, coron
Externí odkaz:
https://doaj.org/article/694808431d4e4fa59df9e6bd02b8023f
Publikováno v:
Symmetry, Vol 10, Iss 9, p 360 (2018)
A graph operator is a mapping F : Γ → Γ ′ , where Γ and Γ ′ are families of graphs. The different kinds of graph operators are an important topic in Discrete Mathematics and its applications. The symmetry of this operations allows us to pro
Externí odkaz:
https://doaj.org/article/4e6297a7ae764bffb2cbf1fddee936b6
Publikováno v:
Entropy, Vol 20, Iss 4, p 300 (2018)
We perform a detailed numerical study of the localization properties of the eigenfunctions of one-dimensional (1D) tight-binding wires with on-site disorder characterized by long-tailed distributions: For large ϵ , P ( ϵ ) ∼ 1 / ϵ 1 + α with α
Externí odkaz:
https://doaj.org/article/97cb0aab86084e91827290c474e5e167
Publikováno v:
Physical Review E. 107
An extensive numerical analysis of the scattering and transport properties of the power-law banded random matrix model (PBRM) at criticality in the presence of orthogonal, unitary, and symplectic symmetries is presented. Our results show a good agree
We study the localization properties of normal modes in harmonic chains with mass and spring weak disorder. Using a perturbative approach, an expression for the localization length is obtained, which is valid for arbitrary correlations of the disorde
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5abb1a42599e050ce2f64ef9db25e6c2
http://arxiv.org/abs/2210.12561
http://arxiv.org/abs/2210.12561