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128 articles for “Graph Operators”
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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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Context of Different Graph Operations: Fibonacci Product Cordial Labeling of Herschel Graph
Abstract: The function φ: V (G) → {F1, F2,..., Fn}, where Fj is the jth Fibonacci number (j = 1,..., n), is said to be Fibonacci product cordial labeling if the induced function φ*: E (G) → {0, 1} defined by 𝜑∗ (𝑢𝑣) = (𝜑(𝑢)𝜑 (𝑣))(𝑚𝑜𝑑 2) meets the criterion |𝑒𝜑∗(0) – � �𝜑∗(1)| ≤ 1. A graph known as the Fibonacci product cordial graph is one that permits Fibonacci product …
Published in Research & Reviews: Discrete Mathematical Structures · Vol. 11, Issue 1, 2024 Read article
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Study on Brain Tumor Detection Using Morphological Operations in MATLAB with Graphical User Interface (GUI)
Abstract: Brain tumor detection plays a crucial role in early diagnosis and effective treatment planning. This research presents a MATLAB-based Graphical User Interface (GUI) for Brain Tumor Detection, incorporating a comprehensive pipeline of image processing techniques. The GUI provides a user-friendly platform, empowering medical professionals to accurately and efficiently analyze MRI brain scans. The GUI begins with text removal to eliminate any textual artifacts that may be present in the MRI …
Published in International Journal of Radio Frequency Innovations · Vol. 1, Issue 1, 2023 · pp. 24–31 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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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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A Shell Programming Framework for Automated Risk Assessment and Security Control in Linux Operating Systems
Abstract: Linux operating systems are widely used in servers, embedded platforms, cloud infrastructure, and high-performance computing environments, making continuous system monitoring and risk assessment essential for maintaining security and operational reliability. Conventional risk assessment approaches often rely on individual system commands and manual interpretation of processor, memory, process, file, and security information, which can limit timely identification of abnormal system conditions. This paper proposes a Bash shell programming-based automated risk assessment …
Published in Journal of Advances in Shell Programming · Vol. 13, Issue 2, 2026 · pp. 55–66 Read article
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Enhancing Healthcare Record Modeling Through Graph Convolutional Networks: Overcoming Challenges and Advancing Data Management and Analysis
Abstract: Modeling healthcare records data as a graph database presents various challenges due to the complex nature of healthcare information and its interconnectedness. In this research endeavor, our primary objective is to pinpoint the major obstacles within this field and present potential remedies to tackle them effectively. By leveraging machine learning techniques, we aim to enhance the efficiency and accuracy of healthcare record modeling, facilitating better data management and analysis. One …
Published in Journal of Software Engineering Tools & Technology Trends · Vol. 10, Issue 2, 2023 · pp. 39–50 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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Automatic characteristic analysis method of multi-degrees-of-freedom planetary gear train based on graph theory
Abstract: The purpose of this paper is to develop a computer-aided analysis method of the planetary gear train (PGT) based on graph theory. In this paper, a novel graph model is developed to represent the structure of the PGTs. Then, according to the gear shift strategy, the characteristic analysis models are deduced for each operating mode. The structure of the graph model is efficiently described through several variations of the incidence …
Published in International Journal of Mechanical Dynamics and Systems Analysis · Vol. 4, Issue 2, 2026 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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Graphene-Based Polyaniline Nanofiber Composites as Supercapacitor Electrodes
Abstract: Modern world uses electricity in different forms for various purposes, some may store it for a later use or some may use it directly. The growing demand for hybrid electric vehicles and portable systems requiring more power to be delivered in less amount of time is pushing the need for electrochemical capacitors. Compared to batteries, electrochemical capacitors or supercapacitors exhibit faster and higher power transport capability, longer life, very low …
Published in Nano Trends – A Journal of Nano Technology & Its Applications · Vol. 17, Issue 3, 2015 · pp. 47–53 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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Thermo-Hydraulic Performance of a Double-Pipe Double-Pass Heat Exchanger using Annular Fins and Graphite-filled Epoxy Composite Tubes
Abstract: Double-pipe heat exchangers remain one of the most widely adopted thermal devices because of their simple construction, operational reliability, and ease of maintenance. Nevertheless, their performance is often constrained by the limited heat transfer area of smooth tubes and the long-term challenges associated with metallic materials, including corrosion, scaling, and structural weight. Recent advances in thermally conductive polymer composites provide an opportunity to overcome these limitations by replacing conventional metals …
Published in Journal of Polymer & Composites · Vol. 14, Issue 5, 2026 Read article
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An Outline of Receiver Device Or Gesture Device Components
Abstract: In the new era of computer science & language technology, Signal acknowledgement is a varied topic with the aim of taking human motions through mathematical algorithms. Signals can create from any physical motion or state then commonly initiate from the face or hand. Present emphases in the field comprise emotion acknowledgment from the face and hand motion response. Various methods have been completed using cameras and computer vision algorithms to …
Published in Journal of VLSI Design Tools and Technology · Vol. 9, Issue 3, 2019 · pp. 21–25 Read article
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A Review on Graphical Assembly Sequence Representation Methods and Their Advancements
Abstract: Representation of assembly sequence is significantly essential to describe many assembly attributes such as the connections between the components, sequence of the assembly operations, assembly trajectory constraints, assembly mating conditions, etc. Graphical or tree structure-based assembly sequence representation methods are most used in assembly sequence planning to obtain feasible assembly sequence, and to represent assembly attributes. Assembly sequence representation methodology carries an important role in assembly sequence planning and automation. …
Published in Journal of Mechatronics and Automation · Vol. 1, Issue 3, 2014 · pp. 56–66 Read article
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Influence of Metal Contacts on Graphene Based Chemical Sensor Devices
Abstract: Graphene is a versatile material suitable for the device applications, both under normal and harsh environmental conditions. The graphene based devices require stable metallic contacts, both ohmic and rectifying, for reproducible operations. This is especially applicable to the few layer and multilayer graphene. This article deals with different ohmic and Schottky contacts on graphene. The methods of developing contacts by pre deposition and post deposition processing are highlighted. Furthermore, the …
Published in Journal of Microelectronics and Solid State Devices · Vol. 3, Issue 3, 2016 · pp. 1–9 Read article
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Generative AI-Based Inverse Design of Sustainable Biodegradable Polymers with Target Mechanical and Thermal Properties
Abstract: The escalating global plastic pollution crisis has intensified the urgent need for sustainable biodegradable polymer alternatives that can match or exceed the performance of conventional petroleum-based plastics while minimizing environmental impact. However, traditional polymer discovery approaches are severely constrained by high experimental costs, protracted development cycles spanning years, and fundamental inability to simultaneously optimize multiple conflicting material properties such as mechanical strength, thermal stability, and degradation kinetics. This study presents …
Published in Journal of Polymer & Composites · Vol. 14, Issue 3, 2026 · pp. 1285–1295 Read article
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Neuro-Symbolic Agentic AI for Autonomous Scientific Discovery: Integrating Deep Reinforcement Learning, Quantum Simulation, and XAI-Audited LLM Hypothesis Generation in Drug Target Identification
Abstract: The exponential growth of multi-omics data and the increasing complexity of disease-associated protein interactomes have rendered conventional drug target identification pipelines computationally and epistemologically inadequate. This paper presents the Neuro-Symbolic Agentic AI for Scientific Discovery (NS-AASD) framework, a unified architecture that cohesively integrates deep reinforcement learning (DRL) exploration strategies, variational quantum simulation (VQS) of protein conformational dynamics, and XAI-audited large language model (LLM) hypothesis generation within an autonomous scientific discovery …
Published in Research and Reviews : Journal of Computational Biology · Vol. 15, Issue 2, 2026 · pp. 15–24 Read article
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Heavy Metal Removal from Textile Industrial Effluent using Banana Exocarp Derived Cellulose Acetate Graphene Nanocomposite Membranes
Abstract: The disposal of textile effluent is responsible for serious human health concerns and above all environmental concerns to all kind of species. This indicates that there is immediate and urgent need of emerging, efficient with sustainable recycling technologies. In this paper, banana exocarp as agriculture-based waste, in terms of substrate was utilised as major raw material. The extracted cellulose from the substrate with homogeneous acetylation process, transformed into cellulose acetate …
Published in Journal of Polymer & Composites · Vol. 14, Issue 4, 2026 · pp. 51–62 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