On molecular topological properties of diamond-like networks

The Randi (product) connectivity index and its derivative called the sum-connectivity index are well-known topological indices and both of these descriptors correlate well among themselves and with the π-electronic energies of benzenoid hydrocarbons. The general n connectivity of a molecular graph G is defined as n (G)=-v i 1 v i 2 v i 3. v i n+1 (1/d i 1 d i 2. d i n+1) and the n sum connectivity of a molecular graph G is defined as n X(G)=- v i 1 v i 2 v i 3.v i n+1 (1/d i 1 +d i 2 +.+d i n+1), where the paths of length n in G are denoted by v i 1, v i 2,.,v i n+1 and the degree of each vertex v_i is denoted by d_i. In this paper, we discuss third connectivity and third sum-connectivity indices of diamond-like networks and compute analytical closed results of these indices for diamond-like networks.