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

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.

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Publication Details

Journal
Journal of Applied Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1155/jama/6593187
Primary Topic
Graph theory and applications
Type
article
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article

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

Md. Ashraful Alam, G. Kalaimurugan, L. Vinnarasi, M. Vimal
Journal of Applied Mathematics
Graph theory and applications
article

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

Md. Ashraful Alam, G. Kalaimurugan, L. Vinnarasi, M. Vimal
article en

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.

Journal of Applied MathematicsVol. 2025(1)
Thiruvalluvar University (IN), Jahangirnagar University (BD)
Openalex Percentile: Top 71%
Graph theory and applications
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