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

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

1 Citation (Scopus)

Résumé

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.

langue originale	Anglais
Pages (de - à)	1415-1428
Nombre de pages	14
journal	European Journal of Combinatorics
Volume	34
Numéro de publication	8
Les DOIs	https://doi.org/10.1016/j.ejc.2013.05.025
état	Publié - 1 nov. 2013

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10.1016/j.ejc.2013.05.025

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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 - Ordaz, Oscar

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

SN - 0195-6698

VL - 34

SP - 1415

EP - 1428

JO - European Journal of Combinatorics

JF - European Journal of Combinatorics

IS - 8

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Some remarks on barycentric-sum problems over cyclic groups

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