Some remarks on barycentric-sum problems over cyclic groups

Oscar Ordaz; Alain Plagne; Wolfgang A. Schmid

doi:10.1016/j.ejc.2013.05.025

Some remarks on barycentric-sum problems over cyclic groups

Oscar Ordaz
, Alain Plagne
, Wolfgang A. Schmid

Escuela de Matemáticas y Laboratorio MoST
Facultad de Ciencias, Universidad Central de Venezuela
University Paris 13

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

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, , _{g k}} satisfying _g1 + ⋯ + _{g k} = k_{g j} for some 1 ≤ j ≤ k.

Original language	English
Pages (from-to)	1415-1428
Number of pages	14
Journal	European Journal of Combinatorics
Volume	34
Issue number	8
DOIs	https://doi.org/10.1016/j.ejc.2013.05.025
Publication status	Published - 1 Nov 2013

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title = "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, , g k\} satisfying g1 + ⋯ + g k = kg j for some 1 ≤ j ≤ k.",

author = "Oscar Ordaz and Alain Plagne and Schmid, \{Wolfgang A.\}",

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AU - Plagne, Alain

AU - Schmid, Wolfgang A.

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N2 - 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, , g k} satisfying g1 + ⋯ + g k = kg j for some 1 ≤ j ≤ k.

AB - 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, , g k} satisfying g1 + ⋯ + g k = kg j for some 1 ≤ j ≤ k.

U2 - 10.1016/j.ejc.2013.05.025

DO - 10.1016/j.ejc.2013.05.025

M3 - Article

AN - SCOPUS:84881022844

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SP - 1415

EP - 1428

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

IS - 8

ER -

Some remarks on barycentric-sum problems over cyclic groups

Abstract

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