This research delves into the intricate exploration of degree-based topological indices pertaining to odorant molecules encapsulated within a pectin gel matrix. Topological indices, sophisticated mathematical descriptors emanating from the realm of molecular graph theory, offer profound insights into the structural and physicochemical attributes of chemical entities. In this particular discourse, our focal point is the odorant molecules, quintessential constituents in the domain of flavor and fragrance, intricately embedded within a matrix of pectin gel. To delineate the structural nuances of these odorant molecules, we employ an array of degree-based topological indices encompassing the Randić index, Zagreb indices, and Atom-Bond Connectivity (ABC) index. Subsequently, we establish correlations between these indices and the behavior exhibited by the odorant molecules within the pectin gel using simple linear regression models. These models furnish a quantitative comprehension of these interrelationships and proffer predictive capabilities for forthcoming research endeavors. This investigation unveils novel perspectives on how molecular architecture influences odorant release and perception, thereby holding potential ramifications in diverse sectors such as food science and perfumery. Our research uncovers intriguing interconnections between these parameters and the odorant molecules, thereby contributing to the existing body of knowledge in this field. Here we used to compute the results with python.