Let MG(u) denote the product of the degrees of all vertices adjacent to a vertex u. We introduce the first and second KV indices, the first vertex KV index, the minus KV index and their polynomials of a molecular graph. In this paper, we compute the first and second KV indices, and their polynomials, and minus KV index and its polynomial of tetrathiafulvalene dendrimers and POPAM dendrimers.