Some remarks on barycentric-sum problems over cyclic groups
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 g1, ..., gk satisfying g1 + ... + gk = k gj for some 1 <= j <= k.
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