“…For more detail and theory about Banhatti indices, we refer the articles in [2,5,[16][17][18][19][20]24]. A huge amount of valency based topological indices and polynomials, defined and studied by various researchers, can be found in the literature (see [1,3,6,8,13,21,22,26] and the references therein). In this paper, our first aim is to further extend the theory of Banhatti indices by defining four Banhatti polynomials.…”