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A $$\varGamma $$-magic Rectangle Set and Group Distance Magic Labeling

2015
A $\varGamma $-distance magic labeling of a graph $G = (V, E)$ with $|V| = n$ is a bijection $\ell $ from V to an Abelian group $\varGamma $ of order n such that the weight $w(x) =\sum _{y\in N_G(x)}\ell (y)$ of every vertex $x \in V$ is equal to the same element $\mu \in \varGamma $ called the magic constant.
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Group distance magic labeling of some cycle-related graphs

Australas. J Comb., 2013
Summary: Let $G = (V,E)$ be a graph and $\Gamma$ an abelian group, both of order $n$. A group distance magic labeling of $G$ is a bijection $\ell: V\to \Gamma$ for which there exists $\mu \in \Gamma$ such that $\sum_{x\in N(v)}\ell (x) =\mu$ for all $v\in V$, where $N(v)$ is the neighborhood of $v$. \textit{D. Froncek} [Australas. J.
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Distance magic labelings of Cartesian products of cycles [PDF]

Discrete Mathematics
A graph of order $n$ is distance magic if it admits a bijective labeling of its vertices with integers from $1$ to $n$ such that each vertex has the same sum of the labels of its neighbors.
Šparl, Primož, Rozman, Ksenija
exaly +2 more sources

Distance magic labeling of the halved folded n-cube

Journal of Combinatorial Optimization, 2023
Weili Lily Wu, Ding-Zhu Du, Na Kang
exaly

Distance Magic Labeling of the Halved Folded n-Cube

Lecture Notes in Computer Science, 2022
Weili Lily Wu, Ding-Zhu Du, Na Kang
exaly

Group distance magic and antimagic hypercubes

Discrete Mathematics, 2021
Marcin Anholcer, Sylwia Cichacz, Dalibor Fronček +2 more
exaly

Group Distance Magic Labeling of $$C_n^r$$ C n r

2017
Aloysius Godinho, T. Singh
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Classification of tetravalent distance magic circulant graphs

Discrete Mathematics, 2021
Primoz Šparl, Stefko Miklavic
exaly

Group distance magic Cartesian product of two cycles

Discrete Mathematics, 2020
Sylwia Cichacz, Dalibor Fronček
exaly