Exciting Fixed Point Results on a Novel Space with Supportive Applications by Hasanen A. Hammad, Hassen Aydi, Yaé Ulrich Gaba

“…The goal of this paper is to present a new space, a complex valued controlled rectangular b-metric space (for short, υℂ-metric space). Some examples and topological properties of υℂ-metric spaces are given. …”
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Normal characterizations of lattices by Carmen D. Vlad

“…We consider the interplay between normal lattices, regularity or σ-smoothness properties of measures, lattice topological properties and filter correspondence. Finally, we start a study of slightly, mildly and strongly normal lattices and express then some of these results in terms of the generalized Wallman spaces.…”
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Energy conditions in Gauss–Bonnet gravity by Francesco Bajardi

“…Abstract We study the Energy Conditions in modified $$f(\mathcal {G})$$ f ( G ) gravity, with $$\mathcal {G}$$ G being the topological Gauss–Bonnet term. Then we use the cosmographic parameters to constrain the functional form of the gravitational action and investigate the possibility to have standard inflation in the early time. …”
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Forgotten Index of Generalized Operations on Graphs by Muhammad Javaid, Saira Javed, Saima Q. Memon, Abdulaziz Mohammed Alanazi

“…In theoretical chemistry, several distance-based, degree-based, and counting polynomial-related topological indices (TIs) are used to investigate the different chemical and structural properties of the molecular graphs. …”
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Computation of Ice Shedding Trajectories Using Cartesian Grids, Penalization, and Level Sets by Héloïse Beaugendre, François Morency, Federico Gallizio, Sophie Laurens

“…Level sets describe the geometry in a nonparametric way so that geometrical and topological changes due to physics and in particular shed ice pieces are straight forward to follow. …”
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Complex Dynamics in One-Dimensional Nonlinear Schrödinger Equations with Stepwise Potential by Chiara Zanini, Fabio Zanolin

“…Our approach is based on some recent developments of the theory of topological horseshoes, in connection with a linked twist maps geometry, which are applied to the discrete dynamics of the Poincaré map. …”
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Results on Uniqueness of Solution of Nonhomogeneous Impulsive Retarded Equation Using the Generalized Ordinary Differential Equation by D. K. Igobi, U. Abasiekwere

“…The integral equivalent equation with impulses satisfying the Carathéodory and Lipschitz conditions is embedded in the space of generalized ordinary differential equations (GODEs), and the correspondence between the generalized ordinary differential equation and the nonhomogeneous retarded equation coupled with impulsive term is established by the construction of a local flow by means of a topological dynamic satisfying certain technical conditions. …”
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Alternative graphemics. Aztec writing system as a case study towards an integrated, digitalised model of non-typographic graphemics by Antonio Perri, Luciano Perondi, Daniele Capo, Roberto Arista, Giampiero Dalai

“…We argue that relevant visual values are ordered in subsets (topological, spatial and logical). Each unit is a "character" (in the Unicode vocabulary), either as a positive unit (a graphic sign) or as an "empty" spatial, topo-graphical relation between signs. …”
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A Schematic Two Overlapping-Band Model for Superconducting Sulfur Hydrides: The Isotope Mass Exponent by R. M. Méndez-Moreno

“…Knowing that a large electronic density of states enhances the critical temperature (Tc), generalized Fermi surface topologies are used to increase it. A multicomponent model within the BCS framework is proposed in this work for sulfur hydride superconductors. …”
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3+1D Massless Weyl Spinors from Bosonic Scalar-Tensor Duality by Andrea Amoretti, Alessandro Braggio, Giacomo Caruso, Nicola Maggiore, Nicodemo Magnoli

“…This duality can be interpreted as the dimensional reduction, via a planar boundary, of the 4+1D topological BF theory. In this model, adopting the Sommerfield tomographic representation of quantized bosonic fields, we explicitly build a fermionic operator and its associated Klein factor such that it satisfies the correct anticommutation relations. …”
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Identification of critical nodes in supply chain networks by Zhen Hua, Yongxiang Xia, Yucheng Chen, Weigang Sun

“…This study proposes a new method for identifying critical nodes in SCNs based on the topological and functional characteristics of SCNs. …”
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On θ-regular spaces by Martin M. Kovár

“…In this paper we study θ-regularity and its relations to other topological properties. We show that the concepts of θ-regularity (Janković, 1985) and point paracompactness (Boyte, 1973) coincide. …”
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Computing FGZ Index of Sum Graphs under Strong Product by Zhi-Ba Peng, Saira Javed, Muhammad Javaid, Jia-Bao Liu

“…Topological index (TI) is a function that assigns a numeric value to a (molecular) graph that predicts its various physical and structural properties. …”
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Les villae gallo-romaines dans le territoire proche d’Augustonemetum – Clermont-Ferrand by Bertrand Dousteyssier, Maxence Segard, Frédéric Trément

“…They are studied from dynamic and topological points of view. The results of the first analyses performed on the marble found in these villae show how important this material was; the results also pinpoint various strategies as far as supply was concerned..…”
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Kannan Contraction Maps on the Space of Null Variable Exponent Second-Order Quantum Backward Difference Sequences of Fuzzy Functions and Its Pre-Quasi Ideal by Awad A. Bakery, OM Kalthum S. K. Mohamed

“…The idealization of the mappings has been achieved through the use of extended s− fuzzy functions and this sequence space of fuzzy functions. This new space’s topological and geometric properties and the mappings’ ideal that corresponds to them are discussed. …”
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Multi-mode Motion Analysis of Sideward Opening Aircraft Doors Based on Position and Orientation Characteristic Theory by Wu Borui, Hang Lubin, Peng Jiyou, Huang Xiaobo, Wu Yang, Qiu Xudong

“…Based on the position and orientation characteristic (POC) theory, the topological dimension constraint type characteristics of the sideward opening aircraft door mechanism is analyzed. …”
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Surface reconstruction limited magnetism of the nodal loop semimetal Ca $$_3$$ P $$_2$$ by Assem Alassaf, János Koltai, Amador García-Fuente, László Oroszlány

“…Abstract Nodal loop semimetals are topological materials with drumhead surface states characterized by reduced kinetic energy. …”
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On Face Index of Silicon Carbides by Xiujun Zhang, Ali Raza, Asfand Fahad, Muhammad Kamran Jamil, Muhammad Anwar Chaudhry, Zahid Iqbal

“…One vastly studied class of the graph invariants is the class of the topological indices, which helps in the studies of chemical, biological, and physical properties of a chemical structure. …”
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Resilience characterization and evaluation model of field area network for the power distribution network by Fang XIAO, Shuyan YANG, Bo WEN, Xiaorong ZHU

“…To analyze the robustness and reliability of field area network (FAN) in the power distribution network, a quantifiable network resilience characterization and evaluation model was proposed.The elasticity indicator was defined from network connectivity, robustness and redundancy, and the total network elasticity was calculated by the weighted sum.The resilience performance of FAN was evaluated by simulating random failures and malicious attacks.A single node failure was simulated and tested to evaluate the difference in network resilience a affected by different node failures and find the weak points of resilience in the network.The elastic characterization and evaluation model was extended to general network topologies, and simulation experiments were carried out using BA scale-free network and ER random network.The experimental results demonstrate the universality of the model.…”
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Focusing on Cracks with Instance Normalization Wavelet Layer by Lei Guo, Fengguang Xiong, Yaming Cao, Hongxin Xue, Lei Cui, Xie Han

“…Automatic crack detection is challenging, owing to the complex and thin topologies, diversity, and background noises of cracks. …”
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