A majorization method for localizing graph topological indices

TL;DR

This paper introduces a majorization-based method to localize and improve bounds on various graph topological indices, providing a unified framework and demonstrating its effectiveness through numerical examples.

Contribution

It develops a novel majorization approach for localizing graph topological indices, enhancing existing bounds and unifying previous results.

Findings

Improved bounds on graph topological indices.

Numerical examples demonstrating the effectiveness of the method.

Unification of existing localization techniques.

Abstract

This paper presents a unified approach for localizing some relevant graph topological indices via majorization techniques. Through this method, old and new bounds are derived and numerical examples are provided, showing how former results in the literature could be improved.