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Topological Properties of Degree‐Based Invariants via M‐Polynomial Approach

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Chemical graph theory provides a link between molecular properties and a molecular graph. The M‐polynomial is emerging as an efficient tool to recover the degree‐based topological indices in chemical graph theory. In this work, we give the closed formulas of redefined first and second Zagreb indices, modified first Zagreb index, nano‐Zagreb index, second hyper‐Zagreb index, Randić index, reciprocal Randić index, first Gourava index, and product connectivity Gourava index via M‐polynomial. We also present the M‐polynomial of silicate network and then closed formulas of topological indices are applied on the silicate network.
Title: Topological Properties of Degree‐Based Invariants via M‐Polynomial Approach
Description:
Chemical graph theory provides a link between molecular properties and a molecular graph.
The M‐polynomial is emerging as an efficient tool to recover the degree‐based topological indices in chemical graph theory.
In this work, we give the closed formulas of redefined first and second Zagreb indices, modified first Zagreb index, nano‐Zagreb index, second hyper‐Zagreb index, Randić index, reciprocal Randić index, first Gourava index, and product connectivity Gourava index via M‐polynomial.
We also present the M‐polynomial of silicate network and then closed formulas of topological indices are applied on the silicate network.

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