Star-supermagic labeling on helm graph and Sn ⊙ K¯m

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...

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Main Authors: Roswitha, M., Martini, T. S., Dwiningsih, S.
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description 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.
doi_str_mv 10.1063/1.5064191
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subjects Labelling
title Star-supermagic labeling on helm graph and Sn ⊙ K¯m
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