A \varGamma -magic Rectangle Set and Group Distance Magic Labeling
نویسنده
چکیده
A Γ -magic rectangle set MRSΓ (a, b; c) of order abc is a collection of c arrays (a× b) whose entries are elements of group Γ , each appearing once, with all row sums in every rectangle equal to a constant ω ∈ Γ and all column sums in every rectangle equal to a constant δ ∈ Γ . In the paper we show that if a and b are both even then MRSΓ (a, b; c) exists for any Abelian group Γ of order abc. Furthermore we use this result to construct group distance magic labeling for some families of graphs.
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