Antimagic and magic labelings in Cayley digraphs

Abstract

A Cayley digraph is a digraph constructed from a group Γ and a generating subset S of Γ. It is denoted by CayD(Γ, S). In this paper, we prove for any finite group Γ and a generating subset S of Γ, that CayD(Γ, S) admits a super vertex (a, d)-antimagic labeling depending on d and |S|. We provide algorithms for constructing the labelings. 

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