Group distance magic labeling of Cartesian product of cycles

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A group distance magic labeling of a graph G(V,E) with {pipe}V {pipe} = n is an injection from V to an abelian group Γ of order n such that the sum of labels of all neighbors of every vertex x ∈ V is equal to the same element μ ∈ Γ. We completely characterize all Cartesian products Ck Cm that admit a group distance magic labeling by Zkm.

Original languageEnglish (US)
Pages (from-to)167-174
Number of pages8
JournalAustralasian Journal of Combinatorics
StatePublished - Mar 25 2013


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