H-supermagic labelings for firecrackers, banana trees and flowers

A simple graph G = (V,E) admits an H-covering if every edge in E is contained in a subgraph H’= (V’, E’) of G which is isomorphic to H. In this case we say that G is H-supermagic if there is a bijection f : V ⋃ E → {1,...,|V| + |E|} such that f(V) = {1,...,|V|} and ∑_vϵV(H')f(v)+∑_vϵV(H')f(e) is constant over all subgraphs H' of G which are isomorphic to H. Extending results from [M. Roswitha and E.T. Baskoro, Amer. Inst. Physics Conf. Proc. 1450 (2012), 135-138], we show that the firecracker F_k,n is F_2,n-supermagic, the banana tree B_k,n is B_k-1,n-supermagic and the flower F_n is C₃-supermagic.