Robust Maximum Lifetime Routing and Energy Allocation in Wireless Sensor Networks by Ioannis Ch. Paschalidis, Ruomin Wu

“…In setting (b) the same result holds for all topologies. We develop a series of robust problem formulations, ranging from pessimistic to optimistic. …”
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Minimum Variable Connectivity Index of Trees of a Fixed Order by Shamaila Yousaf, Akhlaq Ahmad Bhatti, Akbar Ali

“…The connectivity index, introduced by the chemist Milan Randić in 1975, is one of the topological indices with many applications. In the first quarter of 1990s, Randić proposed the variable connectivity index by extending the definition of the connectivity index. …”
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Crystalline-symmetry-protected Majorana modes in coupled quantum dots by Bradraj Pandey, Gonzalo Alvarez, Elbio Dagotto, Rui-Xing Zhang

“…Our architecture paves the way for designing, constructing, and exploring a wide variety of artificial topological crystalline phases in quantum-dot experiments.…”
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Automated synthesis of technological fixture constructions by D P. Kunkevich, I. I. Polozkov, A. A. Baryshev

“…Article is dedicated to automation of topological design. However, the creation and adoption of design decisions is a difficult creative task. …”
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Spontaneous Small Biskyrmions in a Centrosymmetric Rare-Earth Kagome Ferrimagnet by Shulan Zuo, Kaiming Qiao, Zhan Wang, Ying Zhang, Chengbao Jiang, Baogen Shen

“…Abstract Magnetic skyrmions with nontrivial topologies have great potential to serve as memory cells in novel spintronic devices. …”
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PMMA Sandwiched Bi2Te3 Layer as a Saturable Absorber in Mode-Locked Fiber Laser by Guobao Jiang, Yuan Zhou, Lulu Wang, Ying Chen

“…Nanosheets of Bi2Te3 as a bulk topological insulator were successfully synthesized through a solvothermal treatment and self-assemble method to form a thin film at a water-air interface. …”
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Complex Brain Network Analysis and Its Applications to Brain Disorders: A Survey by Jin Liu, Min Li, Yi Pan, Wei Lan, Ruiqing Zheng, Fang-Xiang Wu, Jianxin Wang

“…In recent years, researchers have found that brain networks constructed by using neuroimaging data and electrophysiological data have many important topological properties, such as small-world property, modularity, and rich club. …”
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Evolutionary Game Theory-Based Evaluation of P2P File-Sharing Systems in Heterogeneous Environments by Yusuke Matsuda, Masahiro Sasabe, Tetsuya Takine

“…Further, through simulation experiments with agent-based dynamics, we reveal how other aspects, for example, synchronization among nodes and topological structure, affect the system performance. …”
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Lattice normality and outer measures by Panagiotis D. Stratigos

“…A lattice space is a generalization of a topological space. The concept of lattice normality plays an important role in the study of lattice spaces.…”
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Soft α-Open Sets and Soft α-Continuous Functions by Metin Akdag, Alkan Ozkan

“…We introduce soft α-sets on soft topological spaces and study some of their properties. …”
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Somewhat Slightly Generalized Double Fuzzy Semicontinuous Functions by Fatimah M. Mohammed, M. S. M. Noorani, A. Ghareeb

“…The aim of this paper is to introduce the concepts of somewhat slightly generalized double fuzzy semicontinuous functions and somewhat slightly generalized double fuzzy semiopen functions in double fuzzy topological spaces. Some interesting properties and characterizations of these functions are introduced and discussed. …”
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New Contributions in Generalization S-Metric Spaces to S∗p-Partial Metric Spaces with Some Results in Common Fixed Point Theorems by Asma Al Rwaily, A. M. Zidan

“…Also, we give some of the topological properties that are important in knowing the convergence of the sequences and Cauchy sequence. …”
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Some New Lacunary Strong Convergent Vector-Valued Sequence Spaces by M. Mursaleen, A. Alotaibi, Sunil K. Sharma

“…We also make an effort to study some topological properties and some inclusion relations between these spaces.…”
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Boundary value problem for r2d2f/dr2+f=f3 (I): existence and uniqueness by Chie Bing Wang

“…The existence of the solution is proved using a topological shooting argument. And the uniqueness is proved by a variation method.…”
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p-systems in local Noether lattices by E. W. Johnson, Johnny A. Johnson, Monty B. Taylor

“…In this paper we introduce the concept of a p-system in a local Noether lattice and obtain several characterizations of these elements. We first obtain a topological characterization and then a characterization in terms of the existence of a certain type of decreasing sequence of elements. …”
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Theta Cone Metric Spaces and Some Fixed Point Theorems by Sahar Mohamed Ali Abou Bakr

“…This paper introduces the concept of the theta cone metric, studies its various topological properties, and gives some examples of it. …”
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Omega, Sadhana, Theta, and PI Polynomials of Double Benzonoid Chain by Fozia Bashir Farooq, Saima Parveen, Nadeem Ul Hassan Awan, Rakotondrajao Fanja

“…Counting polynomials are closely related to certain features of chemical graphs and provide an elegant means of expressing graph topological invariants. The current paper aims to calculate four polynomials for double benzenoid chains, Sadhana, omega, theta, and Padmakar–Ivan (PI). …”
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Terahertz Metamaterials Inspired by Quantum Phenomena by Ziheng Ren, Yuze Hu, Weibao He, Siyang Hu, Shun Wan, Zhongyi Yu, Wei Liu, Quanlong Yang, Yuri S. Kivshar, Tian Jiang

“…For on-chip THz waves, quantum physics-inspired topological metamaterials, as photonic analogs of topological insulators, can ensure robust, low-loss propagation with suppressed backscattering. …”
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Investigation of Randomly Populated Cylindrical, Spherical, and Cubical Arrays for Application in Space, Aerial, and Underwater Collaborative Beamforming by Kristopher R. Buchanan, Roanne Manzano-Roth, Annie Lin, Gabriella Loaiza, Meghan Sills, Jin Li, Sara R. Wheeland, Sounak Chakrabarti, Angelica R. Rodriguez, Gregory H. Huff, Mark Patefield, Anthony Jones

“…It investigates the use of a three-dimensional, randomly populated, and uniformly-distributed array in three configurations: spherical, cylindrical, and cubical. These topologies uniquely act like a practical bound to contain the elements in swarm-type applications. …”
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Diagnosing and Predicting the Earth’s Health via Ecological Network Analysis by Zi-Ke Zhang, Ye Sun, Chu-Xu Zhang, Kuan Fang, Xiang Xu, Chuang Liu, Xueqi Wang, Kui Zhang

“…Finally, we integrate the topological property and the proposed health index to identify the influential nodes in the observed ecological network. …”
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