Novel Fuzzy Topological Descriptors for Characterizing Aromatic Hydrocarbons | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از 07 اردیبهشت 1405 اصل مقاله (1.55 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2026.37395.5442 | ||
| نویسندگان | ||
| masoud ghods* 1؛ Mehri Hasani2 | ||
| 1Faculty of Mathematics, Statistics and Computer Science, Semnan University, Semnan, Iran | ||
| 2Department of Mathematics, Statistics, and Computer Science, Semnan University, 35131-19111, Iran | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Keywords: Fuzzy graph؛ Topological indices؛ Zagreb index؛ Randic index؛ Aromatic hydrocarbons | ||
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