Results 11 to 20 of about 79,761 (304)
On \(ev\)-degree and \(ve\)-degree topological indices
, 2017 Summary: Recently, two new degree concepts have been defined in graph theory: \(ev\)-degree and \(ve\)-degree. Also the \(ev\)-degree and \(ve\)-degree Zagreb and Randić indices have been defined very recently as parallel of the classical definitions of Zagreb and Randić indices. It was shown that \(ev\)-degree and \(ve\)-degree topological indices can
Bünyamin Şahin, Süleyman Ediz
openaire +4 more sources
Computing the Topological Degree with Noisy Information
Journal of Complexity, 1997 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yokoyama, Misako
openaire +2 more sources
Degree-Based Topological Indices
Croatica Chemica Acta, 2013 The degree of a vertex of a molecular graph is the number of first neighbors of this vertex. A large number of molecular-graph-based structure descriptors (topological indices) have been conceived, depending on vertex degrees. We summarize their main properties, and provide a critical comparative study thereof. (doi: 10.5562/cca2294)
Gutman, Ivan, Ivan Gutman
openaire +5 more sources
Vertex-Edge-Degree-Based Topological Properties for Hex-Derived Networks
Complexity, 2022 A topological index can be focused on uprising of a chemical structure into a real number. The degree-based topological indices have an active place among all topological indices.
Ali Ahmad, Muhammad Imran
doaj +2 more sources
Asymptotic Distribution of Degree-Based Topological Indices
Match - Communications in Mathematical and in Computer Chemistry, 2023 Topological indices play a significant role in mathematical chemistry. Given a graph $\mathcal{G}$ with vertex set $\mathcal{V}=\{1,2,\dots,n\}$ and edge set $\mathcal{E}$, let $d_i$ be the degree of node $i$. The degree-based topological index is defined as $\mathcal{I}_n=$ $\sum_{\{i,j\}\in \mathcal{E}}f(d_i,d_j)$, where $f(x,y)$ is a symmetric ...
Yuan, Mingao
openaire +4 more sources
On degree- and -distance-based topological indices [PDF]
Revue Roumaine de Chimie, 2021 In addition to a great variety of degree-based and distance-based molecular structure descriptors, there are a few degree-and-distance-based topological indices. Two main such indices are the degree distance (DD) and the Gutman index (ZZ). Their mutual relations are analyzed and several new such relations established.
Gutman, Ivan
openaire +3 more sources
M-Polynomials and Degree-Based Topological Indices of the Molecule Copper(I) Oxide
Journal of Chemistry, 2021 Topological indices are numerical parameters used to study the physical and chemical residences of compounds. Degree-based topological indices have been studied extensively and can be correlated with many properties of the understudy compounds.
Faryal Chaudhry +5 more
doaj +1 more source
Topological transcendence degree [PDF]
Journal of Algebra, 2021 Throughout the paper, an analytic field means a non-archimedean complete real-valued one, and our main objective is to extend to these fields the basic theory of transcendental extensions. One easily introduces a topological analogue of the transcendence degree, but, surprisingly, it turns out that it may behave very badly.
openaire +2 more sources
A refined estimate for the topological degree [PDF]
, 2017 We sharpen an estimate of [4] for the topological degree of continuous maps from a sphere Sdinto itself in the case d >= 2. This provides the answer for d >= 2 to a question raised by Brezis. The problem is still open for d = 1.
Nguyên, Hoài-Minh, Hoai-Minh Nguyen
core +1 more source
Existence of solutions to second-order boundary value problems without growth restrictions
Electronic Journal of Qualitative Theory of Differential Equations, 2016 This article investigates nonlinear, second-order ordinary differential equations subject to various two-point boundary conditions. A condition is introduced that ensures a priori bounds on the derivatives of solutions to the problem.
Christopher Tisdell
doaj +1 more source