On some new neighbourhood degree based indices

TL;DR

This paper introduces four new neighborhood degree-based topological indices and evaluates their effectiveness in predicting physicochemical properties of octane isomers, demonstrating their mathematical properties and chemical applicability.

Contribution

The paper presents four novel neighborhood degree-based indices and analyzes their mathematical properties and effectiveness in chemical property prediction.

Findings

Indices show good degeneracy properties

Indices effectively predict octane isomers' properties

Mathematical properties are thoroughly discussed

Abstract

In this paper, four novel topological indices named as neighbourhood version of forgotten topological index (F_N), modified neighbourhood version of Forgotten topological index ($F_N^*$), neighbourhood version of second Zagreb index ($M_2^*$)and neighbourhood version of hyper Zagreb index ($HM_N$) are introduced. Here the relatively study depends on the structure-property regression analysis is made to test and compute the chemical applicability of these indices for the prediction of physicochemical properties of octane isomers. Also it is shown that these newly presented indices have well degeneracy property in comparison with other degree based topological indices. Some mathematical properties of these indices are also discussed here.