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arXiv · 2209.14784

A Variant of Harborth Constant

A. Lemos·B. K. Moriya·A. O. Moura·A. T. Silva
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Abstract

Let $G$ be a finite additive abelian group. For given $k$ a positive integer, the $k$-Harborth constant $g^k(G)$ is defined to be the smallest positive integer $t$ such that given a set $S$ of elements of $G$ with size $t$ there exists a zero-sum subset of size $k$. We find either the exact value of $g^k(G)$, or lower and upper bounds for this constant for some groups.

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A. Lemos, B. K. Moriya, A. O. Moura, A. T. Silva. 2022-09-29. A Variant of Harborth Constant. https://arxiv.org/abs/2209.14784

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