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arXiv · 1504.08146

Regular graphs are antimagic

Kristóf Bérczi·Attila Bernáth·Máté Vizer
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Abstract

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.

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Kristóf Bérczi, Attila Bernáth, Máté Vizer. 2015-04-30. Regular graphs are antimagic. https://arxiv.org/abs/1504.08146

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