Two Complex Graph Operations and their Exact Formulations on Topological Properties by Shehla Hameed, Muhammad Kamran Jamil, Muhammad Waheed, Muhammad Azeem, Senesie Swaray

“…While on the other side, the topological descriptor is known as a numeric value that is associated with the graph of a network. …”
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A Survey on Generalized Topological Indices for Silicon Carbide Structure by Sajid Mahboob Alam, Fahd Jarad, Abid Mahboob, Imran Siddique, Taner Altunok, Muhammad Waheed Rasheed

“…The application of graphs in chemical and molecular structures has exponentially increased during the last few years. Topological indices facilitate the collection of beneficial information and provide an approach to understanding the properties of chemical structure by providing information about algebraic graphs. …”
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Retracted: Computation of M-Polynomial and Topological Indices of Phenol Formaldehyde by Journal of Chemistry

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A wideband coaxial-to-waveguide transition devised with topology optimization by Md. Sazzad Hossain, Jane M. Lehr, Andrew Fierro, Edl Schamiloglu

“…Abstract Topology optimization is a powerful technique that utilizes the distribution of material properties along with surface topology as parameters to expand a specified performance. …”
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Topology Unveiled: A New Horizon for Economic and Financial Modeling by Yicheng Wei, Junzo Watada, Zijin Wang

Subjects: “…topological data analysis…”
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Genetic Programming Method for Satellite System Topology and Parameter Optimization by Jinhui Li, Yunfeng Dong, Ming Xu, Hongjue Li

“…In this paper, a genetic programming method for satellite system design is proposed to simultaneously optimize the topology and parameters of a satellite system. Firstly, the representation of satellite system design is defined according to the tree structure. …”
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Author Correction: Siliceous zeolite-derived topology of amorphous silica by Hirokazu Masai, Shinji Kohara, Toru Wakihara, Yuki Shibazaki, Yohei Onodera, Atsunobu Masuno, Sohei Sukenaga, Koji Ohara, Yuki Sakai, Julien Haines, Claire Levelut, Philippe Hébert, Aude Isambert, David A. Keen, Masaki Azuma

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Connecting Fuzzifying Topologies and Generalized Ideals by Means of Fuzzy Preorders by G. Elsalamony

“…The present paper investigates the relations between fuzzifying topologies and generalized ideals of fuzzy subsets, as well as constructing generalized ideals and fuzzifying topologies by means of fuzzy preorders. …”
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Analysis of Eccentricity-Based Topological Invariants with Zero-Divisor Graphs by Zhi-hao Hui, Abdul Rauf, Muhammad Mohsin Abbas, Adnan Aslam

“…A zero divisor graph JR of ring R is a graph with vertex set consist of zero divisors elements of R and any two vertices a,b are adjacent if and only if ab=0. A topological index is a numerical number associated with the graph and may be helpful to correlate the graph with certain of its physical/chemical properties. …”
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Topological Properties of the Complex Vector Lattice of Bounded Measurable Functions by Marian Nowak

“…We study locally solid topologies on . In particular, it is shown that the Mackey topology is the finest locally convex-solid σ-Lebesgue topology on .…”
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An Adaptive Photovoltaic Topology to Overcome Shading Effect in PV Systems by Mohamed Amer Chaaban, Lana El Chaar, Mahmoud Alahmad

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Distance-Based Polynomials and Topological Indices for Hierarchical Hypercube Networks by Tingmei Gao, Iftikhar Ahmed

“…Topological indices are the numbers associated with the graphs of chemical compounds/networks that help us to understand their properties. …”
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Topologically Transitive and Mixing Properties of Set-Valued Dynamical Systems by Koon Sang Wong, Zabidin Salleh

“…We introduce and study two properties of dynamical systems: topologically transitive and topologically mixing under the set-valued setting. …”
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Retracted: A Novel Fuzzy Structure: Infra-Fuzzy Topological Spaces by Journal of Function Spaces

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Computation of the topological entropy in chaotic biophysical bursting models for excitable cells by Jorge Duarte, Luís Silva, J. Sousa Ramos

“…With results from symbolic dynamics, we characterize the topological entropy of one-dimensional maps that describe the salient dynamics on the attractors. …”
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Dispersive nodal fermions along grain boundaries in Floquet topological crystals by Daniel J. Salib, Bitan Roy

“…Promising experimental platforms hosting such dynamic topological dispersive bands in real materials are discussed.…”
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A Century of Topological Coevolution of Complex Infrastructure Networks in an Alpine City by Jonatan Zischg, Christopher Klinkhamer, Xianyuan Zhan, P. Suresh C. Rao, Robert Sitzenfrei

“…In this paper, we used complex network analysis approaches to investigate topological coevolution over a century for three different urban infrastructure networks. …”
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Design of Unidirectional Vehicular Traffic With a Two-Dimensional Topological Structure by Hiroya Tanaka, Keita Funayama

“…In two-dimensional topological systems, edge states exist at the boundary and support transport along the system edges. …”
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A New Single-Valued Neutrosophic Rough Sets and Related Topology by Qiu Jin, Kai Hu, Chunxin Bo, Lingqiang Li

“…(Fuzzy) rough sets are closely related to (fuzzy) topologies. Neutrosophic rough sets and neutrosophic topologies are extensions of (fuzzy) rough sets and (fuzzy) topologies, respectively. …”
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Microscopic stress-constrained two-scale topology optimisation for additive manufacturing by Xiaopeng Zhang, Zheng Ni, Akihiro Takezawa, Yaguang Wang, Zhan Kang

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