Square Root of Quartic Stress Index for Graphs

Abstract

We present a new topological index for graphs, termed the square root of quartic stress Index, which is based on the stresses associated with the nodes. We have established several inequalities and proven various results related to this index. Additionally, we calculated the square root of quartic stress Index for a selection of standard graphs. Additionally, we calculated the square root of quartic stress index for a selection of standard graphs. This study examines the chemical significance of the square root of quartic stress index through regression analysis applied to 22 benzenoid hydrocarbons. Using logarithmic regression models, we investigate how the square root of quartic stress index correlates with several physicochemical properties of these hydrocarbons.