Topological Aspects of Quadratic Graphs and M‐Polynomials Utilizing Classes of Finite Quasigroups

Material science, drug design and toxicology studies, which relate a molecule’s structure to its numerous properties and activities, are studied with the use of the topological index. Graphs with finite algebraic structure find extensive applications in fields such as mathematics, elliptic curve cryptography, physics, robotics and information theory. Quasigroup is the generalization of a group due to the absence of the associative law. In this paper, we calculate some degree‐based topological indices and M‐polynomials of quadratic graphs associated with finite commutative and noncommutative weak inverse property quasigroups (WIPQs) broadly.