This article derives eccentricity-based and wiener indices for linear functional graphs, highlighting improved assessments of graph connectedness.
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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Vinnarasi et al. (2025) studied this question.
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