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

A 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) UE (G) to {1, 2, . . . , vertical bar V (G)vertical bar + vertical bar E(G)vertical bar} is called an H-magic labeling of G if Sigma(v epsilon V(H')) f (v) + Sigma(e epsilon 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, . . . , vertical bar V (G)vertical bar} In this paper, we investigate C-4-supermagic labelings of the Cartesian product of paths and graphs. (C) 2012 Elsevier B.V. All rights reserved.