Efficient Hamiltonian encoding algorithms for extracting quantum control mechanism as interfering pathway amplitudes in the Dyson series by Erez Abrams, Michael Kasprzak, Gaurav Bhole, Tak-San Ho, Herschel Rabitz

“…This paper presents two new encoding algorithms that calculate the amplitudes of pathway classes by using techniques from graph theory and algebraic topology to exploit patterns in the set of allowed transitions, greatly reducing the number of matrix elements that need to be modulated. …”
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Consensus Tracking of Fractional-Order Multiagent Systems via Fractional-Order Iterative Learning Control by Shuaishuai Lv, Mian Pan, Xungen Li, Qi Ma, Tianyi Lan, Bingqiang Li, Wenyu Cai

“…The convergence conditions are proved using graph theory, fractional calculus, and λ norm theory. …”
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Valency-Based Descriptors for Silicon Carbides, Bismuth(III) Iodide, and Dendrimers in Drug Applications by Qi-Zhao Li, Abaid ur Rehman Virk, Kashif Nazar, Imran Ahmed, Iskander Tlili

“…This gray-black solid is the product of the reaction between bismuth and iodine, which once was of interest in qualitative inorganic analysis. In chemical graph theory, we associate a graph to a compound and compute topological indices that help us in guessing properties of the understudy compound. …”
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Z Specification of Gate and Apron Control Management at Airport by Nazir Ahmad Zafar, Fahad Alhumaidan, Sher Afzal Khan

“…An integration of gate and apron controllers is described to manipulate the information for correct decision making and flow management. Graph theory is used for representation of airport topology and appropriate routs. …”
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FitzHugh-Nagumo equations with generalized diffusive coupling by Anna Cattani

“…The formulation we are going to exploit is based on the general framework of graph theory.With the aim of defining the connection structure among the excitable elements, the discrete Laplacian matrix plays a fundamental role. …”
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Theory and Application of Interval-Valued Neutrosophic Line Graphs by Keneni Abera Tola, V. N. Srinivasa Rao Repalle, Mamo Abebe Ashebo

“…The interval-valued neutrosophic graph is a fundamental issue in graph theory that has wide applications in the real world. …”
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Topological indices and their correlation with structural properties of carbon nanotube Y-junctions by Khawlah Alhulwah, Ali N.A. Koam, Nasreen Almohanna, Muhammad Faisal Nadeem, Ali Ahmad

“…In this work, the calculation of the Balaban, Forgotten, and Zagreb indices for the four types of CNT Y-junctions is carried out using chemical graph theory. The obtained results clearly show that all these topological indices increase progressively across the different configurations of the Y-junctions, which evidences a direct relationship among the structural complexity and stability with their electronic properties.…”
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Efficient Computation of Shortest Paths in Networks Using Particle Swarm Optimization and Noising Metaheuristics by Ammar W. Mohemmed, Nirod Chandra Sahoo

“…This paper presents a novel hybrid algorithm based on particle swarm optimization (PSO) and noising metaheuristics for solving the single-source shortest-path problem (SPP) commonly encountered in graph theory. This hybrid search process combines PSO for iteratively finding a population of better solutions and noising method for diversifying the search scheme to solve this problem. …”
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Adaptive Fuzzy Consensus Tracking Control for Nonlinear Multiagent Systems with Time-Varying Delays and Constraints by Jie Lan, Tongyu Xu

“…Based on Lyapunov stability theory and algebraic graph theory, the constructed tracking control can ensure states within defined time-varying constraint bounds and eliminate the influence of time delays. …”
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Finite-Time Synchronization of Fractional-Order Complex-Valued Multi-Layer Network via Adaptive Quantized Control Under Deceptive Attacks by Lulu Xu, Juan Yu, Cheng Hu, Kailong Xiong, Tingting Shi

“…According to the finite-time theorem, Lyapunov function, and graph theory methods, some sufficient criteria for realizing finite-time synchronization in complex-valued fractional-order multi-layer networks have been obtained. …”
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Stock Market Temporal Complex Networks Construction, Robustness Analysis, and Systematic Risk Identification: A Case of CSI 300 Index by Xiaole Wan, Zhen Zhang, Chi Zhang, Qingchun Meng

“…Among the methodologies used in stock market research, the complex network as the extension of graph theory presents an edged tool for analyzing internal structure and dynamic involutions. …”
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Low-density parity-check representation of fault-tolerant quantum circuits by Ying Li

“…We outline the procedure for generating LDPC codes from circuits using the Tanner graph notation, alongside proposing graph-theory tools for constructing fault-tolerant quantum circuits from classical LDPC codes. …”
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On Computation and Analysis of Topological Index-Based Invariants for Complex Coronoid Systems by Muhammad Aamer Rashid, Sarfraz Ahmad, Muhammad Kamran Siddiqui, Mohammed K. A. Kaabar

“…In chemical graph theory, benzenoid systems are interrogated as they exhibit the chemical compounds known as benzenoid hydrocarbons. …”
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Research on Spatial and Dynamic Planning Methods for Settlement Buildings Based on Data Mining by Lin Chen, Xiaolong Chen, Hongxin Wang, Lin Zhu, Lingyun Lang

“…At the same time, the graph theory recognition method of grid pattern is proposed. …”
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A Comparative Study of Three Resolving Parameters of Graphs by Hafiz Muhammad Ikhlaq, Hafiz Muhammad Afzal Siddiqui, Muhammad Imran

“…Graph theory is one of those subjects that is a vital part of the digital world. …”
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Development of path reservation for wheelchair users within a High-Activity train Station: A case study of SRT Red Line, Don Mueang Station, Bangkok, Thailand by Pakapon Ueasatchamongkhon, Somsiri Siewwuttanagul

“…Through comprehensive approaches, including the Graph Theory (Betweenness) in Urban Network Analysis (UNA) and path reservation based on principles of station accessibility, this study explores the relationship between congestion probability (Betweenness) in detailed origins and destinations, as well as kinematics for wheelchair users. …”
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The Temporal Pattern of a Lesion Modulates the Functional Network Topology of Remote Brain Regions by W. De Baene, G. J. M. Rutten, M. M. Sitskoorn

“…In this study, we compared resting-state functional connectivity data of patients with a slowly growing low-grade glioma (LGG) with that of patients with a faster-growing high-grade glioma (HGG). Using graph theory, we examined whether the tumour growth velocity modulated the functional network topology of remote areas, more specifically of the hemisphere contralateral to the lesion. …”
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Establishment of Trust in Internet of Things by Integrating Trusted Platform Module: To Counter Cybersecurity Challenges by Mohammad Faisal, Ikram Ali, Muhammad Sajjad Khan, Su Min Kim, Junsu Kim

“…In the end, we integrated the trusted platform module in the IOT architecture to establish the trust in IOT computing and to enhance the cybersecurity challenges and evaluated it with the help of mathematical/algorithms/graph theory/matrices and logical diagrams.…”
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Analysis of a Model for the Morphological Structure of Renal Arterial Tree: Fractal Structure by Aurora Espinoza-Valdez, Francisco C. Ordaz-Salazar, Edgardo Ugalde, Ricardo Femat

“…Here we deal with the analysis of a model recently proposed by Espinoza-Valdez et al. (2010) for the kidney vasculature developed via angiogenesis. The graph theory allows one to model quantitatively a vascular arterial tree of the kidney in sense that (1) the vertex represents a vessels bifurcation, whereas (2) each edge stands for a vessel including physiological parameters. …”
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Description of network meta-analysis geometry: A metrics design study. by Fernanda S Tonin, Helena H Borba, Antonio M Mendes, Astrid Wiens, Fernando Fernandez-Llimos, Roberto Pontarolo

“…We aimed to propose metrics adapted from graph theory and social network-analysis literature to numerically describe NMA geometry.…”
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