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Efficient Graph Network Using Total Magic Labeling and Its Applications

Author

Listed:
  • Annamalai Meenakshi

    (Department of Mathematics, Vel Tech Rangarajan Dr. Sagunthala R & D Institute of Science and Technology, Chennai 600062, India)

  • Adhimoolam Kannan

    (Department of Mathematics, Vel Tech Multi Tech Dr. Rangarajan Dr. Sakunthala Engineering College, Chennai 600062, India)

  • Robert Cep

    (Department of Machining, Assembly and Engineering Metrology, Faculty of Mechanical Engineering, VSB-Technical University of Ostrava, 708 00 Ostrava, Czech Republic)

  • Muniyandy Elangovan

    (Department of Biosciences, Saveetha School of Engineering, Saveetha Nagar, Thandalam 602105, India
    Department of R&D, Bond Marine Consultancy, London EC1V 2NX, UK)

Abstract

Cryptography is a pivotal application of graph theory in ensuring secure communication systems. Modern cryptography is deeply rooted in mathematical theory and computer science practices. It is widely recognized that encryption and decryption processes are primarily outcomes of mathematical research. Given the increasing importance of safeguarding secret information or messages from potential intruders, it is imperative to develop effective technical tools for this purpose. These intruders are often well-versed in the latest technological advancements that could breach security. To address this, our study focuses on the efficacious combinatorial technique of graph networks using efficient domination and total magic labeling. The introduction of a graph network based on total magic labeling can significantly influence the network’s performance. This research introduces a novel combinatorial method for encrypting and decrypting confidential numbers by leveraging an efficient dominant notion and labeled graph.

Suggested Citation

  • Annamalai Meenakshi & Adhimoolam Kannan & Robert Cep & Muniyandy Elangovan, 2023. "Efficient Graph Network Using Total Magic Labeling and Its Applications," Mathematics, MDPI, vol. 11(19), pages 1-21, September.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:19:p:4132-:d:1251217
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    References listed on IDEAS

    as
    1. Henning, Michael A. & Pilśniak, Monika & Tumidajewicz, Elżbieta, 2022. "Bounds on the paired domination number of graphs with minimum degree at least three," Applied Mathematics and Computation, Elsevier, vol. 417(C).
    2. Narayanan Kumaran & Annamalai Meenakshi & Miroslav Mahdal & Jayavelu Udaya Prakash & Radek Guras, 2023. "Application of Fuzzy Network Using Efficient Domination," Mathematics, MDPI, vol. 11(10), pages 1-20, May.
    3. Xiaohui Zhang & Chengfu Ye & Shumin Zhang & Bing Yao, 2022. "Graph Colorings and Labelings Having Multiple Restrictive Conditions in Topological Coding," Mathematics, MDPI, vol. 10(9), pages 1-9, May.
    4. Michael A. Henning & Jan H. van Vuuren, 2022. "Domination in graphs," Springer Optimization and Its Applications, in: Graph and Network Theory, chapter 0, pages 527-623, Springer.
    Full references (including those not matched with items on IDEAS)

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