Applications of magnesium iodide structure via modified-polynomials

Area of Science:

• Molecular graph theory
• Chemical graph theory
• Cheminformatics

Background:

• Modified polynomials (M-polynomials) offer a novel approach to analyzing chemical networks.
• M-polynomials provide numerical descriptors in algebraic form, emphasizing molecular characteristics.
• They are utilized in Quantitative Structure-Property Relationship (QSPR) studies to link material properties with structural features.

Purpose of the Study:

• To calculate various modified polynomials for the magnesium iodide structure.
• To provide a polynomial description of magnesium iodide using M-polynomials.
• To compute specific M-polynomials based on first, second, and modified Zagreb indices, as well as Randić and inverse Randić indices.

Main Methods:

• Application of modified polynomial techniques in molecular graph theory.
• Calculation of M-polynomials for magnesium iodide.
• Computation of first, second, and modified Zagreb indices based M-polynomials.
• Computation of Randić and inverse Randić indices based M-polynomials.

Main Results:

• Successfully computed several modified polynomials for magnesium iodide.
• Derived polynomial descriptions for the structure of magnesium iodide.
• Quantified specific topological indices (Zagreb, Randić) using M-polynomials.

Conclusions:

• Modified polynomials serve as effective mathematical tools for characterizing molecular structures.
• The study successfully applied M-polynomials to magnesium iodide, yielding valuable structural descriptors.
• This work contributes to the application of M-polynomials in QSPR and chemical graph theory.