Star-supermagic labeling on helm graph and Sn ⊙ K¯m
Mania Roswitha, T. S. Martini, S. Dwiningsih · AIP conference proceedings · 2018
A finite simple graph G = (V, E) admits an H-covering if every edge of G belongs to a subgraph of G isomorphic to H. We said G to be an H-magic if there exists a total labeling f: V (G) ∪ E(G) → {1,2,…, |V(G)| + |E(G)|}, such that for each subgraph H′ = (V′, E′) of G isomorphic to H, the magic sum m (f) = Σv∈V′ f(v) + Σe∈E′ f(e). Then, G is H-supermagic if f(V) = {1,2,…,|V|}. This research provides star-supermagicness on helm graph and Sn ⊙ K¯m.