Some remarks on barycentric-sum problems over cyclic groups release_t3rkceus2bd43m7uh6jdrbwvnu

by Oscar Ordaz, Alain Plagne, Wolfgang A. Schmid

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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Release Date 2013-06-19
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Type  article
Stage   submitted
Date   2013-06-19
Version   v2
arXiv  1204.4540v2
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