Certain topological indices and polynomials for semitotal line graph and its line graph for Dutch windmill graph

Abstract

Dutch windmill graph [1,2] and denoted by D_n^m Order and size of Dutch windmill graph are (n - 1) m + l and mn respectively. In this paper, we computed certain topological indices and polynomials i.e. Zagreb polynomials, hyper Zagreb index, Redefined Zagreb indices, modified first Zagreb index, Reduced second Zagreb index, Reduced Reciprocal Randic index, 1^st Gourava index, 2^nd Gourava index, 1^st hyper Gourava index, 2^nd hyper Gourava index, Product connectivity Gourava index, Sum connectivity Gourava index, Forgotten index, Forgotten polynomials, M-polynomials and some topological indices in terms of M-polynomials i.e. 1^st Zagreb index, 2^nd Zagreb index, Modified 2^nd Zagreb index, Randić index, Reciprocal Randić index, Symmetric division index, Harmonic index, Inverse Sum indeg index, Augmented Zagreb index for the semitotal line graph and line graph of semitotal line graph for Dutch windmill graph. © 2020 Utilitas Mathematica Publishing Inc.. All rights reserved.