A novel approach to determine the Sombor-type indices via M-polynomial

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dc.contributor.authorKumar V.
dc.contributor.authorDas S.
dc.date.accessioned2025-01-13T07:07:46Z
dc.date.available2025-01-13T07:07:46Z
dc.date.issued2024
dc.description.abstractTopological indices can be interpreted as the mathematical characterizations of a molecular compound and are significantly employed to forecast its physical, chemical and biological information. Computation of topological indices of a graph through its associated graph polynomial is a modern and optimal approach. One such method is to determine the degree-based topological indices of a graph using its M-polynomial. Among the class of degree-based topological indices, the Sombor indices are one of the most investigated indices in recent times. In this article, the M-polynomial-based derivation formulas are derived to compute the different Sombor-type indices, namely the Sombor index, modified Sombor index, first and second Banhatti�Sombor indices, and their reduced form of the Sombor indices. Furthermore, our proposed derivation formulas are applied to compute the Sombor-type indices of the jagged-rectangle benzenoid system Bm,n. Additionally, the comparison among the Sombor-type indices of Bm,n is presented through numerical and graphical representations. � The Author(s) under exclusive licence to Korean Society for Informatics and Computational Applied Mathematics 2024.
dc.identifier.doi10.1007/s12190-024-02272-4
dc.identifier.issn15985865
dc.identifier.urihttps://dl.bhu.ac.in/ir/handle/123456789/2894
dc.language.isoen
dc.publisherSpringer Nature
dc.subject05C07
dc.subject05C09
dc.subject05C10
dc.subject05C31
dc.subject05C92
dc.subjectBanhatti�Sombor index
dc.subjectDegree-based topological indices
dc.subjectJagged-rectangle benzenoid system
dc.subjectM-polynomial
dc.subjectSombor index
dc.titleA novel approach to determine the Sombor-type indices via M-polynomial
dc.typeArticle
journal.titleJournal of Applied Mathematics and Computing

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2024