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Open Access ·Peer-reviewed·ISSN (Online): 2169-012X·ISSN (Print): 0972-0502

Monthly Journal: Publishes the methodological and theoretical role of mathematics and mathematical applications underpinning scientific research.

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Open Access Research Article

Investigating fuzzy topological indices of linear and multi-cyclic Naphtalene

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pp. 1779–1793Vol. 28Issue 5August 2025DOI: 10.47974/JIM-1791XML
Received:
16 May 2023
Published Online:
10 Jun 2025
Article type:
Research Article
Language:
EN
Article no.:
JIM-1791
Pages:
1779–1793

Abstract

This research study focuses on the theoretical examination of the fuzzy graph of aromatic hydrocarbon naphthalene. It introduces new definitions for the first Zagreb fuzzy index, forgotten index, and Y-index, and computes several fuzzy-based degree topological indices. The study provides a general formula for the fuzzy topology indices of naphthalene hydrocarbon by taking into account the degree of each edge. Additionally, a formula is presented to determine the specific topology index of naphthalene based on the number of rows and columns. The topological indices of linear naphthalene were compared, and it was found that the Randic and harmonic indices exhibited the highest values.

Keywords

Subject Classifications

05c7205C0905C3192E1005C07

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