Group distance magic labeling of Cartesian product of cycles

Dalibor Froncek

Group distance magic labeling of Cartesian product of cycles

Dalibor Froncek

Mathematics & Statistics

Research output: Contribution to journal › Article › peer-review

41 Scopus citations

Abstract

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 C_k C_m that admit a group distance magic labeling by Z_km.

Original language	English (US)
Pages (from-to)	167-174
Number of pages	8
Journal	Australasian Journal of Combinatorics
Volume	55
State	Published - Mar 25 2013

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title = "Group distance magic labeling of Cartesian product of cycles",

abstract = "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.",

author = "Dalibor Froncek",

year = "2013",

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day = "25",

language = "English (US)",

volume = "55",

pages = "167--174",

journal = "Australasian Journal of Combinatorics",

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publisher = "University of Queensland Press",

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AB - 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.

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M3 - Article

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SP - 167

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JO - Australasian Journal of Combinatorics

JF - Australasian Journal of Combinatorics

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Group distance magic labeling of Cartesian product of cycles

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