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Z2nm-supermagic labeling of Cn#Cm

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.

UPT Penerbitan Universitas Jember

Dalibor Froncek James McKeown John McKeown Michael McKeown

Indonesian Journal of Combinatorics

2018

Title: Z2nm-supermagic labeling of Cn#Cm

Description:

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.

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Z2nm-supermagic labeling of Cn#Cm

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