Topological indices, also known as molecular descriptors, are an indispensable tool for quantitative structure property/activity relationships models, which play a significant role in drug design processes. Randic presented the properties that a topological index must possess in chemical graph theory to be considered a good molecular descriptor. Among the prominent properties is the fact that a topological index should change gradually with a gradual change in structures. An effective and widely accepted method for measuring this feature was first proposed by Furtula et al. , based on graph edit distance. This method was later improved by Rakic and Furtula drawing on the z-score associated with the Tanimoto index. This paper performs a comparative analysis of the structure sensitivity and abruptness values of graph energy types, based on fourteen different topological indices, using these two methods.
Mert Sinan Öz (Mon,) studied this question.