Document Type : Research Paper

Authors

• masoud ghods ¹
• Mehri Hasani ²

¹ Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran

² Department of Mathematics, Statistics, and Computer Science, Semnan University, 35131-19111, Iran

Abstract

Fuzzy graphs have gained signicant attention in diverse scientic elds, including mathematics and chemistry,
owing to their superior accuracy and adaptability compared to conventional models. This study delves into a theoretical
exploration of the fuzzy graph representation of aromatic hydrocarbons, focusing on the computation of several fuzzybased
degree topological indices. Novel denitions are introduced for the rst Zagreb fuzzy index, Forgotten index,
and Y-index, alongside a generalized formula for fuzzy topological indices of linear and cyclic aromatic hydrocarbons,
incorporating edge degrees. Moreover, a comprehensive formula is derived to calculate specic topological indices of
hydrocarbons based on the number of benzene rings. This methodology empowers researchers to predict and estimate
compounds' physical and chemical properties by leveraging topological indices and precise calculations of bond lengths
and atomic masses facilitated by computational software.

Keywords

• Keywords: Fuzzy graph
• Topological indices
• Zagreb index
• Randic index
• Aromatic hydrocarbons