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arXiv · 2208.07728

Simple deterministic O(n log n) algorithm finding a solution of Erd\H{o}s-Ginzburg-Ziv theorem

Seokhwan Choi·Hanpil Kang·Dongjae Lim
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Abstract

Erd\H{o}s-Ginzburg-Ziv theorem is a famous theorem in additive number theory, which states any sequence of $2n-1$ integers contains a subsequence of $n$ elements, with their sum being a multiple of $n$. In this article, we provide an algorithm finding a solution of Erd\H{o}s-Ginzburg-Ziv theorem in $\mathcal{O}(n \log n)$ time. This is the first known deterministic $\mathcal{O}(n \log n)$ time algorithm finding a solution of Erd\H{o}s-Ginzburg-Ziv theorem.

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Seokhwan Choi, Hanpil Kang, Dongjae Lim. 2022-08-16. Simple deterministic O(n log n) algorithm finding a solution of Erd\H{o}s-Ginzburg-Ziv theorem. https://arxiv.org/abs/2208.07728

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