Note on diagonal construction of Z2nm-supermagic labeling of Cn□Cm

Abstract

A Γ-supermagic labeling of a graph G(V, E) with is a bijection from E to an Abelian group Γ of order k such that the sum of labels of all incident edges of every vertex is equal to the same element An existence of a -supermagic labeling of Cartesian product of two cycles, for n odd was proved recently. This along with an earlier result by Ivančo proved the existence of a -supermagic labeling of for every In this paper we present a simple unified labeling method for all

Keywords

• magic-type labeling
• supermagic labeling
• vertex-magic edge labeling
• group supermagic labeling
• cartesian product of cycles