New characterization of by its noncommuting graph.
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Zhang, Liangcai, Shi, Wujie (2009)
Sibirskij Matematicheskij Zhurnal
Gabriella D'Este (1988)
Rendiconti del Seminario Matematico della Università di Padova
Sylwia Cichacz (2014)
Open Mathematics
A Γ-distance magic labeling of a graph G = (V, E) with |V| = n is a bijection ℓ from V to an Abelian group Γ of order n such that the weight of every vertex x ∈ V is equal to the same element µ ∈ Γ, called the magic constant. A graph G is called a group distance magic graph if there exists a Γ-distance magic labeling for every Abelian group Γ of order |V(G)|. In this paper we give necessary and sufficient conditions for complete k-partite graphs of odd order p to be ℤp-distance magic. Moreover...
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