On molecular topological properties of benzenoid structures

The degree-based topological indices correlate certain physicochemical properties such as boiling point, strain energy, and stability, etc., of certain chemical compounds. Among the major classes of topological indices are the distance-based topological indices, degree-based topological indices, and counting-related polynomials and corresponding indices of graphs. Among all of the degree-based indices, namely the first general Zagreb index, general Rndic connectivity index, general sum-connectivity index, atom-bond connectivity index (ABC), and geometric-arithmetic index (GA), are most important due to their chemical significance. In this paper, we compute the first general Zagreb index, general Randic connectivity index, general sum-connectivity index, ABC, GA, ABC₄, and GA₅ indices of hexagonal parallelogram P(m,n) nanotubes, triangular benzenoid G_n, and zigzag-edge coronoid fused with starphene ZCS(k,l,m) nanotubes by using the line graphs of the subdivision of these chemical graphs. (author)