Algebraic Structure Graphs over the Commutative Ring Zm: Exploring Topological Indices and Entropies Using M-Polynomials

The field of mathematics that studies the relationship between algebraic structures and graphs is known as graph theory. It incorporates concepts from theory, which examines characteristics topology graphs, with those abstract algebra, deals such groups, rings, fields. If vertex set a G^ fully made up zero divisors modular ring Zn, said to be zero-divisor graph. products two vertices are equal under (modn), they regarded neighbors. Entropy, notion taken information theory used in measures degree uncertainty or unpredictability associated its constituent elements. Entropy measurements may calculate structural complexity graphs. first, second modified Zagrebs, general inverse Randics, third fifth symmetric divisions, harmonic sum indices, forgotten topological indices few examined this article for particular families A numerical graphical comparison computed over proposed structure has been studied. Furthermore, different kinds entropies, second, redefined Zagreb, also investigated number