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Wiener and Additive Degree-Based Topological Indices of Linear Functional Graphs Over Finite-Dimensional Vector Spaces

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  • Vinnarasi L.
  • Md. Ashraful Alam
  • Kalaimurugan G.
  • Vimal M.

Abstract

This article explores numerous significant additive topological indices based on degrees for linear functional graphs over finite-dimensional vector spaces. Specifically, we derive some unique topological indices, such as the eccentricity-based indices and the Wiener index. Further, we have sorted out Randic indices, Sombor indices, and degree-based Zagreb indices, as well as a few other degree-based indices. In addition to this, we have assessed a few noteworthy arithmetic–geometric indices and their modified indices. For the most part, we have discovered that the redefined Zagreb indices offer a more thorough and precise assessment of graph connectedness than the original Zagreb indices.

Suggested Citation

  • Vinnarasi L. & Md. Ashraful Alam & Kalaimurugan G. & Vimal M., 2025. "Wiener and Additive Degree-Based Topological Indices of Linear Functional Graphs Over Finite-Dimensional Vector Spaces," Journal of Applied Mathematics, Hindawi, vol. 2025, pages 1-12, August.
    • Handle: RePEc:hin:jnljam:6593187
    DOI: 10.1155/jama/6593187
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