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24 articles for “graph theory”
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Optimal PMU Placement in Power Systems Using Graph Theory and PSAT
Abstract: Phasor measurement units (PMUs) play a vital role in modern power systems by delivering synchronized, real-time measurements. These devices enhance system reliability by supporting functions such as monitoring, protection, and control. By accurately capturing voltage and current phasors across different locations, PMUs enable better situational awareness and more effective decision-making in grid operations and management. Determining the optimal location of PMUs is essential to ensure system observability, reduce installation costs, …
Published in Trends in Electrical Engineering · Vol. 15, Issue 2, 2025 · pp. 26–32 Read article
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A Review Paper on The Mathematical Foundations of Artificial Intelligence
Abstract: Artificial Intelligence (AI) is deeply rooted in various branches of mathematics, which provide the theoretical foundation and practical tools for developing intelligent systems. This paper explores the crucial role of mathematics in AI, focusing on key areas such as Linear Algebra, Probability and Statistics, Optimization Techniques, Calculus, Graph Theory, and Fourier and Wavelet Transforms. Linear Algebra is fundamental for representing and manipulating data, with applications in dimensionality reduction and neural …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 12, Issue 3, 2025 · pp. 7–14 Read article
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Introduction to Biological Networks and their Contributions to Systems Biology
Abstract: Biological networks provide a conceptual framework to represent and analyze the intricate interconnections among the numerous components that make up living systems. This review paper elucidates the foundational principles of networks and their diverse applications in systems biology, highlighting their crucial role in understanding the inherent complexity of biological processes. Utilizing graph theory, these networks represent entities like genes, proteins, and metabolites as nodes, with their interactions depicted as edges. …
Published in International Journal of Bioinformatics and Computational Biology · Vol. 2, Issue 1, 2024 · pp. 53–70 Read article
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Applying Kruskal's Algorithm in Supply Chain Management for Cost-Effective Network Optimization
Abstract: Transportation route optimization and cost reduction are major difficulties in today's dynamic and complicated supply chain systems. To produce economical and effective network designs, this study investigates the use of Kruskal's algorithm for supply chain network optimization. The algorithm guarantees that all supply chain nodes, including delivery hubs, warehouses, and distribution centers, relate to the lowest possible total transportation cost by building the minimum spanning tree (MST). The study shows …
Published in International Journal of Algorithms Design and Analysis Review · Vol. 3, Issue 1, 2025 · pp. 49–54 Read article
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Computational Study of Sombor Index on Generalized Abid–Waheed Graphs for Polymer Modeling
Abstract: This study investigates the topological properties of generalized Abid Waheed graphs. Development of theoretical models in chemistry, reducing computational complexity while analysing large molecules or networks Abid Waheed graphs play a significant role. Motivated by these findings, the research was extended to encompass generalized Abid Waheed graphs, characterized by r cycles of order s. A notable similarity between Abid Waheed graphs and Jahangir graphs was observed. The potential applications of …
Published in Journal of Polymer & Composites · Vol. 13, Issue 5, 2025 · pp. 267–274 Read article
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Hybrid Approach for Community Detection Using Deep Learning Techniques
Abstract: Community detection in complex networks is a fundamental problem with applications across diverse domains, ranging from social networks to biological systems and beyond. Traditional methods based on graph theory have been widely used for identifying communities within networks. However, the intricate and evolving nature of modern networks demands more sophisticated approaches. This research work proposes a hybrid approach that combines the strengths of deep learning techniques with traditional community detection …
Published in Recent Trends in Electronics Communication Systems · Vol. 11, Issue 3, 2024 · pp. 18–26 Read article
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Exploration of Partial Order Structures in Menger Spaces Properties Characterizations and Applications
Abstract: Partial order structures play a crucial role in understanding the intricate relationships within mathematical spaces. In this paper, we delve into the realm of Menger spaces and investigate their properties through the lens of partial orders. Menger spaces, a generalization of metric spaces, possess unique characteristics that can be further elucidated by considering partial order structures. Through rigorous analysis, we explore various properties of partial order Menger spaces, including topological …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 3, 2024 · pp. 17–22 Read article
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Graph Theoretic Analysis of Cyclodextrin Polymers
Abstract: Topological indicators in chemical graph theory are essential tools in cheminformatics, providing valuable insights into molecular structure and properties to make more accurate predictions about the behavior and efficacy of novel compounds in drug design. The macro molecules are correlated with certain derivatives. The derivatives are growing structures which depends on the cyclic structures. The Cyclodextrin is one of the cyclic structures which depends on the carbon atoms. The polymer …
Published in Journal of Polymer & Composites · Vol. 14, Issue 1, 2026 · pp. 997–1006 Read article
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Spectral Intuitionistic Fuzzy Hypergraph Operators and Dominance Kernels for Resilient Discrete Network Design
Abstract: A new discrete-mathematical framework is developed for resilient network design on intuitionistic fuzzy hypergraphs, where uncertainty is explicitly represented through membership, non-membership, and hesitation degrees associated with both vertices and hyperedges. These three components are systematically integrated into an effective incidence operator that captures the underlying uncertain relationships within complex hypergraph structures. Based on this operator, both un-normalised and normalized Laplacian matrices are formulated to characterize the spectral properties and …
Published in Recent Trends in Mathematics · Vol. 3, Issue 2, 2026 · pp. 41–48 Read article
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Unravelling the Influence of Dimensions on the Thermoelectric Properties of AHEGNR
Abstract: The thermoelectric properties of hydrogenated edge semiconductor graphene nanoribbons (GNRs) have thus far been explored in detail. The effects of varying the sizes of zigzag hydrogenated edge graphene nanoribbons (ZHEGNRs) and armchair hydrogenated edge graphene nanoribbons (AHEGNRs) in terms of their properties were investigated in this study. This was achieved via the control of the graphene nanoribbon dimensions i.e., width and length by utilizing density functional theory in Quantum Espresso, …
Published in Journal of Nanoscience, NanoEngineering & Applications · Vol. 14, Issue 3, 2024 · pp. 45–51 Read article
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Algebraic Foundations of Generalized Signal Processing: A Unified Approach Across Domains
Abstract: Using the techniques of algebra, notably polynomial algebras and modules, algebraic signal processing (ASP) is a contemporary, abstract framework that generalizes conventional signal processing— including Fourier analysis, filtering, and convolution. The notion is to use algebraic structures to explain signals, systems, and transformations such that ideas may be understood and generalized across many domains, including time, space, graph, or group. A unifying theoretical framework called ASP generalizes classical signal processing …
Published in Current Trends in Signal Processing · Vol. 15, Issue 3, 2025 · pp. 33–44 Read article
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Synthesis, spectroscopic, crystal structure, Hirshfeld surface, computational, and biological investigations on Isophorone derivatives: 3-(3,4-dimethoxystyryl)-5,5-dimethylcyclohex-2-en-1-one
Abstract: FT-IR, 1H NMR, and 13C NMR spectroscopy were among the spectroscopic methods used to synthesize and analyze 3-(3,4-dimethoxystyryl)-5,5-dimethylcyclohex-2-en-1-one, a new isophorone derivative. Single-crystal X-ray diffraction (SCXRD) was used to determine the crystal structure, which showed that the molecule crystallizes in a monoclinic system (space group P121/c1) with packing configurations and intermolecular interactions. To learn more about the non-covalent interactions influencing the crystal packing, Hirshfeld surface analysis was used. In order …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 16, Issue 2, 2025 · pp. 51–69 Read article
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Comparative Study of Clamped-Clamped and Clamped-Free Elastic Beams Resting on Bi-Parametric Subgrades and Subjected to Concentrated Moving Loads
Abstract: In this paper, a comparative study of clamped-clamped and clamped-free elastic beams resting on bi-parametric subgrades subjected to concentrated moving load has been investigated. This work takes into account the viscous effects of the moving load. The findings are shown graphically. The methods of solution incorporate integral transformation in combination with convolution theory, a version of Struble's asymptotic approaches, and Fourier integral translate with the series representation of the Dirac-delta …
Published in Journal of Experimental & Applied Mechanics · Vol. 16, Issue 1, 2025 · pp. 17–33 Read article
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Interfacial Engineering of Carbon Fiber/Epoxy Laminates Using Functionalized Graphene Nanoplatelets: Experimental and Numerical Study
Abstract: Current research work studies the influence of amines(–NH₂) and carboxyl(–COOH) functionalized graphene nanoplatelets on the mechanical and thermomechanical behavior of unidirectional hybrid composite. Composites having different graphene concentration from 0 to 0.7 wt% were fabricated, characterized and analyzed for multiple testing - tensile testing, dynamic mechanical analysis (DMA) and Fourier transform infrared spectroscopy (FTIR). Tensile testing indicates better elastic modulus and tensile strength due to efficient load transfer between nanoparticles …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 · pp. 61–77 Read article
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Flexural Vibration of Non-Uniform Beam on Bi-Parametric Foundation Under Harmonic Moving Load with Non-Classical Boundary Conditions
Abstract: The dynamic response to harmonically varying moving loads of non-uniform elastic beam resting on bi-parametric foundation with non-classical boundary condition, time dependent in particular is examined in this paper. Here, the beam is considered non-uniform, with the moment of inertia and the distributed mass varying continuously along the span L as functions of the position 𝑥. In order to guarantee a more stable structure and a reduce risk of resonance, …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 3, Issue 2, 2025 · pp. 28–42 Read article
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Advancements in Data Structures: Bridging the Gap Between Theory and Real-world Applications
Abstract: In the rapidly advancing landscape of computer science, this study unfolds a comprehensive exploration of Data Structures, spanning from foundational principles to cutting-edge innovations. Data structures form the backbone of computational processes, and this study aims to dissect and illuminate their pivotal role. Beginning with fundamental concepts such as Arrays, Linked Lists, Stacks, and Queues, the narrative progresses to intricate structures like Trees, Graphs, and Hash Tables. Practical applications in …
Published in International Journal of Data Structure Studies · Vol. 2, Issue 1, 2024 · pp. 14–20 Read article
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A Comparative Study on Formaldehyde Detection Capabilities in Pristine Graphene and Ag-doped Graphene Sheet
Abstract: The present work concerns a detailed investigation of the enhanced formaldehyde (also known as methanal) detection by decorating the pristine (or bare) graphene nanosheet with silver (Ag) nano-particle (or foreign Ag atom). The bare graphene sheet was exposed to the formaldehyde vapor forming the formaldehyde-adsorbed pristine graphene sheet (taken as Case-I), and whose results were studied and compared with the outcomes obtained from the formaldehyde-adsorbed Ag-decorated graphene sheet (taken as …
Published in Journal of Polymer & Composites · Vol. 13, Issue 1, 2025 · pp. 801–809 Read article
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Microvita: A New Hybrid Particle Bridging the Fermionic and Bosonic Domains in Particle Physics
Abstract: In particle physics, the established classification of particles into fermions and bosons—obeying Fermi-Dirac and Bose-Einstein statistics, respectively—has shaped theoretical and experimental frameworks for nearly a century. This study introduces 'Microvita', a novel theoretical particle that exhibits hybrid characteristics modulated by a continuous parameter α ∈ [0,1]. Through this parameter, Microvita interpolates between bosonic and fermionic behavior in terms of spin, statistical distributions, and operator algebra. We explore the foundational algebra …
Published in Research & Reviews : Journal of Physics · Vol. 15, Issue 1, 2026 · pp. 14–27 Read article
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FEA Simulation for Optimization of Laminated Composite Plate with Cutout in Free Vibrations
Abstract: Laminated composites have a large application in engineering. The work done in this study is to see the free vibration response of graphite epoxy composite square plate subjected to different boundary conditions. Finite element analysis has been done on the software ANSYS. The results obtained by the simulation have been compared with those obtained from a published data obtained by semianalytical solution. It is observed that the solutions through ANSYS …
Published in Journal of Experimental & Applied Mechanics Read article
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Comparative Study of Uniform and Non-Uniform Beams Resting on Bi-Parametric Foundation Under Harmonic Load with Time Dependent Boundary Conditions
Abstract: In this study, we investigated uniform and non-uniform damped and time-dependent elastic beams resting on bi-parametric foundation subjected to harmonically varying moving load. The beam properties, including moment of inertia and mass per unit length, were assumed to be either constant or varying with position along the beam span in this study. The solution methods were based on Mindlin-Goodman method, Fourier sine transformation, weighted residual method, integral transformation, and theory …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 4, Issue 1, 2026 · pp. 33–50 Read article