Topology Control Algorithm in Heterogeneous Wireless Sensor Network with Energy Supply by Chenming Ma, Wanliang Wang, Zhen Hong, Xinwei Yao

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Computation of Revan Topological Indices for Phenol-Formaldehyde Resin by Muhammad Kamran, Nadeem Salamat, Riaz Hussain Khan, Muhammad Abaid Ullah, Muhammad Shazib Hameed, M. K. Pandit

“…There are many types of topological indices such as degree-based topological indices, distance-based topological indices, etc. …”
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Quotient Banach Lattices Under Unbounded Norm Topology by Leila Hasanzadeh, Asghar Ranjbari

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On Topological Indices of Fractal and Cayley Tree Type Dendrimers by Muhammad Imran, Abdul Qudair Baig, Waqas Khalid

“…The topological descriptors are the numerical invariants associated with a chemical graph and are helpful in predicting their bioactivity and physiochemical properties. …”
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Stabilization Strategies of Supply Networks with Stochastic Switched Topology by Shukai Li, Jianxiong Zhang, Wansheng Tang

“…In this paper, a dynamical supply networks model with stochastic switched topology is presented, in which the stochastic switched topology is dependent on a continuous time Markov process. …”
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Novel Degree-Based Topological Descriptors of Carbon Nanotubes by M. C. Shanmukha, A. Usha, M. K. Siddiqui, K. C. Shilpa, A. Asare-Tuah

“…The most significant tool of mathematical chemistry is the numerical descriptor called topological index. Topological indices are extensively used in modelling of chemical compounds to analyse the studies on quantitative structure activity/property/toxicity relationships and combinatorial library virtual screening. …”
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Multipartite entanglement distribution in a topological photonic network by Juan Zurita, Andrés Agustí Casado, Charles E. Creffield, Gloria Platero

“…Some of them exploit topological materials to process quantum information. …”
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Inflation and Topological Phase Transition Driven by Exotic Smoothness by Torsten Asselmeyer-Maluga, Jerzy Król

“…Here we consider a space-time with topology S3×ℝ. In case of an exotic S3×ℝ, there is a change in the spatial topology from a 3-sphere to a homology 3-sphere which can carry a hyperbolic structure. …”
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Vibration Analysis and Topology Optimization of Gearbox of Electric Vehicle by Wang Haoran, Fang Yuan, Zhang Tong

“…According to an electric automotive gearbox,the dynamics simulation of the reducer two-stage gear transmission is established in ADAMS and the dynamic loads of bearing seat are obtained.The finite element model（ FEM） of gearbox housing is established,the nature frequency and vibration mode are obtained through the analysis of the modal.The data are loaded into the finite element model and the modal frequency response analysis is carried out.Then,the topology optimization of gearbox housing is conducted,the results show that the vibration response amplitudes are significantly reduced.…”
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On Some Properties of Multiplicative Topological Indices in Silicon-Carbon by Abid Mahboob, Sajid Mahboob, Mohammed M. M. Jaradat, Nigait Nigar, Imran Siddique

“…In nanochemistry, a numeric number (topological index) is used to estimate the biological, physical, and structural properties of chemical compounds that are associated with the chemical graph. …”
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Analyzing Some Structural Properties of Topological B-Algebras by Narciso C. Gonzaga

“…In this study, we investigate the topology on B-algebras: an algebraic system of propositional logic. …”
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Topology of black hole phase transition in JT gravity by Hemant Rathi, Dibakar Roychowdhury

“…We identify these black hole solutions as “topological defects” in the thermodynamic phase space and calculate the associated topological numbers following the standard procedure. …”
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Topological Gravity on (D,N)-Shift Superspace Formulation by J. A. Lourenço, J. A. Helayël Neto, W. Spalenza

“…We reassess the subject of topological gravity by following the shift supersymmetry formalism. …”
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Food Web Topology and Nested Keystone Species Complexes by Daniele Capocefalo, Juliana Pereira, Tommaso Mazza, Ferenc Jordán

“…After quantifying their topology properties, we determine their keystone species complexes, calculate their nestedness, and statistically analyze the relationship between topological indices and nestedness. …”
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The topological degree method for equations of the Navier-Stokes type by V. T. Dmitrienko, V. G. Zvyagin

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Superposition Method for Structural Topology Optimization of Rigid Manipulator by Xiaorui Liu, Peixiang He, Guanghui Xie

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A Note on Topological Properties of Non-Hausdorff Manifolds by Steven L. Kent, Roy A. Mimna, Jamal K. Tartir

“…It is well known that the Hausdorff property is independent of the other conditions given in the standard definition of a topological manifold. In much of literature, a topological manifold of dimension 𝑛 is a Hausdorff topological space which has a countable base of open sets and is locally Euclidean of dimension 𝑛. …”
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Routing optimization based on topology control in satellite network by Xiaogang QI, Jiulong MA, Lifang LIU

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Giant phonon anomaly in topological nodal-line semimetals by Zizhen Zhou, Xiaolong Yang, Honghui Wang, Guang Han, Xu Lu, Guoyu Wang, Rui Wang, Xiaoyuan Zhou

“…The band topology has been revealed to bring a wide array of novel electronic transport phenomena, but its interaction with phonon properties remains largely unexplored. …”
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More on Dα-Closed Sets in Topological Spaces by Xiao-Yan Gao, Ahmed Mostafa Khalil

“…The aim of this paper is to present and study topological properties of Dα-derived, Dα-border, Dα-frontier, and Dα-exterior of a set based on the concept of Dα-open sets. …”
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