Results 1 to 10 of about 350,842 (227)
Ve-Degree, Ev-Degree, and Degree-Based Topological Indices of Fenofibrate [PDF]
Journal of Mathematics, 2022 The molecular topology of a graph is described by topological indices, which are numerical measures. In theoretical chemistry, topological indices are numerical quantities that are used to represent the molecular topology of networks.
Sadik Delen +6 more
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A refined estimate for the topological degree [PDF]
, 2017 We sharpen an estimate of Bourgain, Brezis, and Nguyen for the topological degree of continuous maps from a sphere $\mathbb{S}^d$ into itself in the case $d \ge 2$. This provides the answer for $d \ge 2$ to a question raised by Brezis.
Hoài-Minh Nguyên
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Ve-degree and Ev-degree Based Topological Properties of Magnesium Oxide MgO (111) Structures
, 2022 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
Muhammad Naeem +3 more
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Topological mixing of higher degrees [PDF]
Proceedings of the American Mathematical Society, 1978 We give examples of homeomorphisms which are topologically 1-mixing but not topologically 2-mixing. One is a subshift and the other is a diffeomorphism of the torus.
Sue Goodman, Brian Marcus
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Ramanujan Complexes and bounded degree topological expanders [PDF]
2014 IEEE 55th Annual Symposium on Foundations of Computer Science, 2014 Expander graphs have been a focus of attention in computer science in the last four decades. In recent years a high dimensional theory of expanders is emerging. There are several possible generalizations of the theory of expansion to simplicial complexes,
Kaufman, Tali +2 more
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Gutman index, edge-Wiener index and edge-connectivity [PDF]
Transactions on Combinatorics, 2020 We study the Gutman index ${\rm Gut}(G)$ and the edge-Wiener index $W_e (G)$ of connected graphs $G$ of given order $n$ and edge-connectivity $\lambda$.
Jaya Mazorodze +2 more
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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.
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Nontrivial solutions for a fourth-order Riemann-Stieltjes integral boundary value problem
AIMS Mathematics, 2023 In this paper we study a fourth-order differential equation with Riemann-Stieltjes integral boundary conditions. We consider two cases, namely when the nonlinearity satisfies superlinear growth conditions (we use topological degree to obtain an existence
Keyu Zhang +3 more
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On Some Ve-Degree and Harmonic Molecular Topological Properties of Carborundum
ARO-The Scientific Journal of Koya University, 2020 Carborundum, also known as silicon carbide which containing carbon and silicon, is a semiconductor. Molecular topological properties of physical substances are important tools to investigate the underlying topology of these substances.
Murat Cancan +3 more
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Entropy dimension of shifts of finite type on free groups
AIMS Mathematics, 2020 This paper considers the topological degree of G-shifts of finite type for the case where G is a finitely generated free group. Topological degree is the logarithm of entropy dimension; that is, topological degree is a characterization for zero entropy ...
Jung-Chao Ban, Chih-Hung Chang
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