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

Vinnarasi L., Md. Ashraful Alam, Kalaimurugan G. and Vimal M.

Journal of Applied Mathematics, 2025, vol. 2025, 1-12

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.

Date: 2025
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:6593187

DOI: 10.1155/jama/6593187

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