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72 articles for “Line graph”
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Laceability in Line Graphs and Jump Graphs of Petersen Graph
Abstract: A simple connected graph is Hamiltonian laceable if there exists a Hamiltonian path between every pair of distinct vertices at an odd distance in it. is Hamiltonian-t-laceable (t*-laceable) if there exists a Hamiltonian path in between every pair (at least one pair) of vertices u and v in with the property Manjunath et al. obtained Hamiltonian laceability properties in line graphs and jump graphs of some graphs. In this paper …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 3, Issue 2, 2016 · pp. 5–13 Read article
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Commutativity of Some Graph Operators
Abstract: AbstractThe line graph L(G) of a graph G has the edges of G as its vertices and two distinct edges of G are adjacent in L(G) if they are incident in G. In this paper we consider the commutativity of the line graph operator with some other operators such as Gallai graph Γ(G), anti- Gallai graph Δ(G), kth power of a graph Powk(G), k-distance graph Tk(G), cycle graph Cy(G), block …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 6, Issue 1, 2019 · pp. 1–5 Read article
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Solving Optimization Problems Using the Graphical Method of Linear Programming
Abstract: Linear programming is a mathematical optimization technique used for maximizing or minimizing a linear objective function while satisfying a set of linear constraints. This method plays a crucial role in various industries, including manufacturing, finance, transportation, and supply chain management. Among the different approaches to solving linear programming problems, the graphical method provides a simple and intuitive way to visualize and solve problems involving two decision variables. By plotting constraints …
Published in Research & Reviews : Journal of Statistics · Vol. 14, Issue 2, 2025 · pp. 01–08 Read article
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Comparing Graphical and Algebraic Methods in Solving Linear Programming Problems
Abstract: Linear Programming (LP) is a fundamental optimization technique widely employed across engineering, manufacturing, transportation, finance, healthcare, and other industrial sectors to support effective resource allocation and informed decision- making. Among the various solution techniques, the graphical and algebraic methods remain the two most fundamental approaches, each offering distinct advantages depending on the complexity and dimensionality of the optimization problem. This paper presents a comprehensive comparative study of these methods by …
Published in Journal of Production Research & Management · Vol. 16, Issue 2, 2026 · pp. 33–43 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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Graphs and Their Real-Life Applications in Pharmaceutical Research
Abstract: This study provides a comprehensive overview of the role of graphs in pharmacy research, emphasizing their significance as powerful tools for data visualization, interpretation, and communication. In the field of pharmacy, research often generates large volumes of complex data related to drug development, pharmacokinetics, pharmacodynamics, medication safety, and patient outcomes. Graphs serve as an essential medium to translate these data into accessible, interpretable, and actionable insights, supporting evidence-based practice and …
Published in Research & Reviews : Journal of Statistics · Vol. 14, Issue 3, 2025 · pp. 01–08 Read article
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A Shell Script Compiler in Linux and Unix
Abstract: A command programming language that provides an interface to the UNIX operating system is known as the UNIX shell. It contains some of the mechanisms found in algorithmic languages, such as passing control flow primitives, variables, and parameters. Configurations such as while, if, for, and case are available. Two-way communication is possible between the shell and the command. String value parameters (usually filenames or flags) can also be passed to …
Published in Journal of Advances in Shell Programming · Vol. 8, Issue 2, 2021 · pp. 19–25 Read article
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Testing for Shielding and Estimation of Linear Absorption Coefficient Using Gamma Irradiation of Polymer Composites
Abstract: The polymer composites were developed for the application of shielding material in a radiation environment. To determine the linear absorption coefficient of the developed materials for neutrons; an experiment was carried out using an Am-Be neutron source of strength ~3 × 107 n/s. The composites of Epoxy polymer were filled with different three fillers; Graphite, Lead, and Boron Nitrided Nanopowder prepared with the same filler content. Transmitted neutrons were detected …
Published in Journal of Polymer & Composites · Vol. 10, Issue 3, 2022 · pp. 59–68 Read article
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The Symbiosis Between Spherical Refractive Error Cylindrical Refractive Error
Abstract: This study aimed to acknowledge the link between spherical refractive error and cylindrical refractive error, which is crucial for diagnosing and managing visual abnormalities productively. This research employed a multi-center, cross-sectional, analytical, and retrospective approach to investigate refractive errors. The objective results were refined subjectively to the best visual acuity with conventional clinical representations of refraction using the sphere, cylinder, and axis. The gathered data underwent analysis utilizing statistical software …
Published in Research and Reviews : A Journal of Medical Science and Technology · Vol. 13, Issue 1, 2024 · pp. 67–76 Read article
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Determination of the Antidiabetic Drug Miglitol in Pharmaceuticals by Ultra-Performance Liquid Chromatography
Abstract: Miglitol (MGL) is a drug used in the treatment of type-2 diabetes mellitus. A new analytical method employing ultra-performance liquid chromatography (UPLC) with UV-detection is presented for the determination of MGL in bulk drug and tablet forms. Analysis was performed in less than 3 min in isocratic mode on a reversed phase BEH C18 (100 mm × 2.1 mm; 1.7 µm particle size) column using phosphate buffer of pH 3.7-acetonitrile …
Published in Research and Reviews: A Journal of Pharmaceutical Science · Vol. 9, Issue 2, 2018 · pp. 11–26 Read article
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On Graph Theory Based on Matrix
Abstract: This paper presents a new approach of graph theory based on natural numbers and matrix only. The natural number is used for vertex and matrix for the edge. The fast graph generation is an advantage of this approach by the successor function. The connected and non-connected graph both is defined by the axiom. There is the arithmetic based on the additive and multiplicative operation over the matrix with the set …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 9, Issue 1, 2022 · pp. 40–46 Read article
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Advancements in Robotic Arm Design: Analyzing Gripping and Grasping Mechanisms
Abstract: The main objective of this project is to design and build a child-sized prosthetic hand that can passively adapt to a grasp. The ability of the fingers to adapt to the shape of an object grasped in the hand is known as an adaptive grip. Four fingers and the thumb flex inward and individually adjust to the contour of the object being grabbed as the hand closes around it. When …
Published in Journal of Instrumentation Technology & Innovations · Vol. 13, Issue 1, 2023 · pp. 09–16 Read article
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Mathematical Modeling of the Flexural Strength, Impact Energy and Water Absorption of a Pineapple Fibre-HDPE Composite using RSM Technique
Abstract: AbstractA pineapple fibre reinforced HDPE composite was developed. Response surface methodology (RSM) experimental design was employed using the latest Design Expert 10.0 software and the sample composites were produced by compounding using two-roll mill and subsequent thermoformimg in a hot pressing machine. Mathematical models of the flexural strength, impact energy and water absorption were developed and statistically validated. The model for the flexural strength fitted best with quadratic model while …
Published in Journal of Polymer & Composites · Vol. 5, Issue 2, 2017 · pp. 42–49 Read article
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A Steady on Quality Update in New Austrian Tunneling Method (NATM) Technology for Safe Underground Shortest Path in Road Transportation Networks
Abstract: Metro train project is a combination of many related engineering fields as civil engineering, computer engineering, mechanical engineering and electrical engineering etc. But here, we discus about civil engineering and computer engineering related project report. Firstly we start from railway track/road. A railway track network can be considered as a graph (a graph is an ordered pair G=(V, E) comprising a set V of vertices or nodes or points together …
Published in Journal of Open Source Developments · Vol. 3, Issue 2, 2016 · pp. 20–26 Read article
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A Study on Chemical Composition in Temperature Sensor
Abstract: As the demand for precision thermal monitoring in extreme environments – such as aerospace propulsion systems and micro-electromechanical systems (MEMS) – continues to escalate, the chemical stability of temperature sensing elements has become a critical focal point. This study investigates the correlation between the chemical composition of thin-film resistance temperature detectors (RTDs) and their operational longevity under thermal cycling. By employing X-ray Photoelectron Spectroscopy (XPS) and Energy-Dispersive X-ray Spectroscopy (EDS), …
Published in Journal of Nanoscience, NanoEngineering & Applications · Vol. 16, Issue 2, 2026 · pp. 1–7 Read article
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The Interface of Hardware and Intelligence: The Function of Operating Systems
Abstract: Operating systems play a central role in bridging the gap between computer hardware and user interaction. They simplify complex machine-level operations and transform them into user-friendly and efficient digital experiences. At their core, operating systems are responsible for managing essential tasks such as process scheduling, memory allocation, file system organization, and device coordination. By handling these functions effectively, they ensure that hardware resources are used in an optimal and balanced …
Published in Journal of Operating Systems Development & Trends · Vol. 13, Issue 1, 2026 · pp. 07–20 Read article
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Best Practices for Improving Employee Retention
Abstract: The purpose of this study was to investigate how HRM practices and employees’ work related attitude improve employee retention in the perspective of investment in public health organizations of Benishangul Regional State, Ethiopia. Organizations under study were suffering from weak practices of human resources, consideration of employees as physical assets and weak retention strategies. The study adopted a mixed method of research design and targeted 1514 health professionals from 35 …
Published in E-Commerce for Future & Trends · Vol. 8, Issue 3, 2021 · pp. 26–42 Read article
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Molecular Transport Kinetics of Non-Polar Solvents Through AGNP Filled EPDM Elastomeric Composites
Abstract: EPDM Based rubber composites can be used in tank and pipe lining works. In these applications one of the major requirements is that the composite must have good fluid permeability and chemical degradation resistances in their working environment. In order to enhance the performance of EPDM rubber to suit these applications, scientists and engineers are trying to develop novel nanocomposites by incorporating nano fillers. In the present work, to ensure …
Published in Journal of Polymer & Composites · Vol. 13, Issue 6, 2025 · pp. 993–1006 Read article
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Monitoring of Ship Deployment Through Emerging Technologies
Abstract: The mission for naval vessels encompasses defining combat tasks, deployment statuses, and timing requirements to optimize combat patrol effectiveness and daily ship management. This involves inheriting, developing, and optimizing ship deployment strategies while establishing new deployment categories with distinct names, connotations, personnel, and equipment needs to ensure organic integration and synergy. Emphasis is placed on maintaining continuity, stability, and forward-thinking to meet the demands of warship combat operations, facilitate management …
Published in Journal of Artificial Intelligence Research & Advances · Vol. 11, Issue 2, 2024 · pp. 59–66 Read article
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Shell Programming in Healthcare Sector
Abstract: Command Line Interface (CLI) is still the keystone of automation and system administration, regardless of how Graphical User Interfaces have taken up the dominant position for various similar tasks. The shell programming assists in improving the efficiency of work-flow, managing the complex and sophisticated system configuration and automate repetitive tasks by enabling the users to write scripts and sequences of commands that are stored in files. The Bourne Shell language …
Published in Journal of Advances in Shell Programming · Vol. 11, Issue 1, 2024 · pp. 4–7 Read article