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A Study on the M-Polynomials and Degree Based Topological Indices of Graphene

Santhosh Kumar C G, Bindhu K Thomas

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Source: Crossref

Published: Jul 7, 2025

DOI: 10.9734/arjom/2025/v21i7958

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The exceptional properties of graphene have sparked intense research interest necessitating a deeper understanding of its molecular architecture and chemical behavior. Degree-based topological indices are mathematical descriptors used in theoretical chemistry and materials science to quantify the structural properties of molecules and materials. This study explores the application of some degree-based topological indices and the M-polynomial to unravel graphene’s chemical properties. Our investigation of some novel topological indices, offers unique insights into the structure-property relationships governing graphene’s behavior. These findings highlight the versatility of degree-based topological methods in advancing materials science research and facilitating the development of graphene-based technologies. By harnessing the power of mathematical modeling, this work will help future material design and engineering initiatives.

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