3 years ago

# Regular graphs are antimagic.

Kristóf Bérczi, Attila Bernáth, Máté Vizer

An undirected simple graph $G=(V,E)$ is called antimagic if there exists an injective function $f:E\rightarrow\{1,\dots,|E|\}$ such that $\sum_{e\in E(u)} f(e)\neq\sum_{e\in E(v)} f(e)$ for any pair of different nodes $u,v\in V$. In a previous version of the paper, the authors gave a proof that regular graphs are antimagic. However, the proof of the main theorem is incorrect as one of the steps uses an invalid assumption. The aim of the present erratum is to fix the proof.

Publisher URL: http://arxiv.org/abs/1504.08146

DOI: arXiv:1504.08146v2

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