Weighted zero-sum problems over C₃ʳ

Autor: Godinho, H., Lemos, A., Marques, D.
Jazyk: angličtina
Rok vydání: 2013
Popis: Let Cn be the cyclic group of order n and set sA(Crn) as the smallest integer ℓ such that every sequence S in Cʳn of length at least ℓ has an A-zero-sum subsequence of length equal to exp(Cʳn), for A = {−1, 1}. In this paper, among other things, we give estimates for sA(C₃ʳ), and prove that sA(C₃³) = 9, sA(C₃⁴) = 21 and 41 ≤ sA(C₃⁵) ≤ 45.
Databáze: OpenAIRE