Computing some bond additive indices of certain class of nanostructures

Carbon nanosheets are nanomaterials consisting of two-dimensional circular arrangements of carbon atoms with diameters. A C4C8 nanosheet is a lattice obtained from a trivalent arrangement of carbon atoms into alternating squares C4 and octagons C8. T1UC4C8[p, q] and T2UC4C8[p, q] are two types of nanosheets made by C4C8 decorations. In nanotechnology, topological indices are used to quantify the structural properties of nanoparticles. In this paper, we investigate the application of topological indices, specifically weighted Mostar indices, to characterize the structures of nanosheets. We employ a variant of the cut method to determine explicit expressions for the additively weighted Mostar index and multiplicatively weighted Mostar index for T1UC4C8[p, q] and T2UC4C8[p, q] nanosheets.