On C4-supermagic labelings of the Cartesian product of paths and graphs

AbstractA graph G admits an H-covering if every edge in E(G) belongs to a subgraph of G isomorphic to H. Suppose G admits an H-covering. A bijection f from V(G)∪E(G) to {1,2,…,|V(G)|+|E(G)|} is called an H-magic labeling of G if ∑v∈V(H′)f(v)+∑e∈E(H′)f(e) is constant for every subgraph H′ of G isomorphic to H. An H-magic labeling f of G is called an H-supermagic labeling of G if f(V(G))={1,2,…,|V(G)|}. In this paper, we investigate C4-supermagic labelings of the Cartesian product of paths and graphs