Topological indices of metal-organic networks via neighborhood M-polynomial

Abstract

There are several tools, like algebraic polynomials, topological indices, graph energies, etc., to investigate the structural dependence of different properties and activities of chemical structures and networks. The M-polynomial is the most general algebraic polynomial to obtain a large number of degree-based topological indices for a certain family of structures or networks. The neighborhood M polynomial has the parallel role to the M-polynomial for the neighborhood degree sum based topological indices. In mathematical chemistry, topological indices are utilized as a useful tool to investigate different quantitative structure-property relationship (QSPR) and quantitative structure-activity relationship (QSAR) modellings. In this paper, the neighborhood M-polynomials of two types of metal-organic networks (MONs) is derived. From those results, some neighborhood degree sum based indices are recovered. The graphical representations of the results are also reported.

Subject Classification:

• Primary 05C35
• Secondary 05C07
• 05C40

Keywords:

• M-polynomial
• Degree
• Topological index
• Join
• Corona product
• Strong product
• Tensor product
• Splice
• Link