Some remarks on barycentric-sum problems over cyclic groups
Number Theory
2013-06-20 v2 Combinatorics
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.
Cite
@article{arxiv.1204.4540,
title = {Some remarks on barycentric-sum problems over cyclic groups},
author = {Oscar Ordaz and Alain Plagne and Wolfgang A. Schmid},
journal= {arXiv preprint arXiv:1204.4540},
year = {2013}
}
Comments
to appear in European Journal of Combinatorics