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arXiv · 1204.4540

Some remarks on barycentric-sum problems over cyclic groups

Oscar Ordaz·Alain Plagne·Wolfgang A. Schmid
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Abstract

We derive some new results on the k-th barycentric Olson constants of abelian groups (mainly cyclic). This quantity, for a finite abelian (additive) group (G,+), is defined as the smallest integer l such that each subset A of G with at least l elements contains a subset with k elements {g_1, ..., g_k} satisfying g_1 + ... + g_k = k g_j for some 1 <= j <= k.

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Oscar Ordaz, Alain Plagne, Wolfgang A. Schmid. 2012-04-20. Some remarks on barycentric-sum problems over cyclic groups. https://arxiv.org/abs/1204.4540

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