Some indices and polynomials of Cartesian Product of complete bipartite graph K_(1,n) and a Cycle C_m
Abstract
Indices and polynomials have been used in chemistry and have many important chemical applications such as predicting the behavior of some chemical compounds and calculating some thermal constants. In this paper we will compute the M-polynomial for Cartesian Product of a complete bipartite graph and a cycle for any values of and . From the polynomial, we will compute many degree-based topological indices such that the general Randić index, the inverse Randić index, the first and the second Zagreb indices, the second modified Zagreb index, the symmetric division index, the inverse sum index and the augmented Zagreb index for . Also, we will compute some indices and polynomial depend on definition such that the hyper- Zagreb index, the first and the second multiple Zagreb indices, the forgotten index, the first and second Zagreb polynomial, the inverse degree polynomial, the inverse degree index, the first and the second general Zagreb indices, the sum lordeg index, the harmonic polynomial, the harmonic index and the atom-bond connectivity index for .
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