Some remarks on barycentric-sum problems over cyclic groups

نویسندگان

  • Oscar Ordaz
  • Alain Plagne
  • Wolfgang A. Schmid
چکیده

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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عنوان ژورنال:
  • Eur. J. Comb.

دوره 34  شماره 

صفحات  -

تاریخ انتشار 2013