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Topological Indices of Graphs from Vector Spaces

Author

Listed:
  • Krishnamoorthy Mageshwaran

    (Department of Mathematics, Rajalakshmi Engineering College, Chennai 602105, Tamil Nadu, India)

  • Nazeek Alessa

    (Department of Mathematical Sciences, College of Sciences, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia)

  • Singaravelu Gopinath

    (Department of Mathematics, Sri Sairam Institute of Technology, Chennai 60004, Tamil Nadu, India)

  • Karuppusamy Loganathan

    (Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur 303007, Rajasthan, India)

Abstract

Topological indices are numbers that are applied to a graph and can be used to describe specific graph properties through algebraic structures. Algebraic graph theory is a helpful tool in a range of chemistry domains. Because it helps explain how the different symmetries of molecules and crystals affect their structure and dynamics, it is a powerful theoretical approach for forecasting both the common and uncommon characteristics of molecules. A topological index converts the chemical structure into a number and contributes a lot in chemical graph theory. In this article, we compute the Wiener index, Zagreb indexes, Wiener polynomial, Hyper-Wiener index, ABC index and eccentricity-based topological index of a nonzero component union graph from vector space.

Suggested Citation

  • Krishnamoorthy Mageshwaran & Nazeek Alessa & Singaravelu Gopinath & Karuppusamy Loganathan, 2023. "Topological Indices of Graphs from Vector Spaces," Mathematics, MDPI, vol. 11(2), pages 1-13, January.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:2:p:295-:d:1026922
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    Cited by:

    1. Ala Abdulsalam Alarood & Adamu Abubakar & Abdulrahman Alzahrani & Faisal S. Alsubaei, 2023. "Electronic Waste Collection Incentivization Scheme Based on the Blockchain," Sustainability, MDPI, vol. 15(13), pages 1-29, June.

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