Comparative study of chitosan derivatives through CoM-polynomial

Abstract

Most abundant polysaccharides having numerous applications in biopolymers, bioscience and other fields are chitin and chitosan. Hydrogels are their derivatives, widely used in biomedical applications. Other applications include adsorbent of metals and dyes from industrial wastes. Hydrogels based chitosan is used in drugs and proteins in pharmaceutical fields. This work mainly focuses on the polysaccharides such as, chitosan and its derivatives, whose chemical structure is modeled as a chemical graph and the data regarding edge and vertex partitioning are studied. In this work, using non-adjacent pairing of vertices approach, their polynomials are determined for various topological coindices for the polysaccharides chitosan and their chemical derivatives. These polynomials are termed CoM-polynomials, extension of M-polynomials for non-adjacent vertices. Topological coindices are the real numbers, representing the molecular structure of the chemical compound whose physicochemical characteristics can be studied that relates Quantitative Structure Property Relationship/Quantitative Structure Activity Relationship (QSPR/QSAR) investigations. CoM-polynomials are computed for the derivatives of chitosan such as alpha, beta and gamma chitin. CoM-polynomials of 11 degree-based topological coindices are determined and are compared for the derivatives of chitosan.