Certain topological indices and polynomials for the semitotal-point graph and line graph of semitotal-point graph for Dutch windmill graph

Salma Kanwal (Lahore College for Women University, Lahore ,Pakistan)
Mariam Imtiaz (University of Engineering and Technology, KSK Campus Lahore-Pakistan.)
Ayesha Manzoor (Lahore College for Women University ,Lahore ,Pakistan)
Nazeeran Idrees (Government College University, Faisalabad-Pakistan.)
Ammara Afzal (Lahore College for Women University, Lahore, Pakistan)

Indonesian Journal of Combinatorics
Vol 3, No 2 (2019)

Dutch windmill graph [1, 2] and denoted by Dnm. Order and size of Dutch windmill graph are (n−1)m+1 and mn respectively. In this paper, we computed certain topological indices and polynomials i.e. Zagreb polynomials, hyper Zagreb, Redefined Zagreb indices, modified first Zagreb, Reduced second Zagreb, Reduced Reciprocal Randi´c, 1st Gourava index, 2nd Gourava index, 1st hyper Gourava index, 2nd hyper Gourava index, Product connectivity Gourava index, Sum connectivity Gourava index, Forgotten index, Forgotten polynomials, M-polynomials and some topological indices in term of the M-polynomials i.e. 1st Zagreb index, 2nd Zagreb index, Modified 2nd Zagreb, Randi´c index, Reciprocal Randi´c index, Symmetric division, Harmonic index, Inverse Sum index, Augmented Zagreb index for the semitotal-point graph and line graph of semitotal-point graph for Dutch windmill graph.