On -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 ) ∪ 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 C 4 -supermagic labelings of the Cartesian product of paths and graphs.