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James McKeown
University of Miami
Computer Science & IT Decision Sciences, Operations Research & Management

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Z2nm-supermagic labeling of Cn#Cm Dalibor Froncek; James McKeown; John McKeown; Michael McKeown
Indonesian Journal of Combinatorics Vol 2, No 2 (2018)
Publisher : Indonesian Combinatorial Society (InaCombS)

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (230.139 KB) | DOI: 10.19184/ijc.2018.2.2.1

Abstract

A Γ-supermagic labeling of a graph G = (V, E) with ∣E∣ = k 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 x ∈ V is equal to the same element μ ∈ Γ. We present a Z2nm-supermagic labeling of Cartesian product of two cycles, Cn□Cm for n odd. This along with an earlier result by Ivančo proves that a Z2nm-supermagic labeling of Cn□Cm exists for every n, m ≥ 3.
Co-Authors Dalibor Froncek John McKeown Michael McKeown