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Weighted zero-sum problems over C₃ʳ
Репозиторій DSpace/Manakin
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Weighted zero-sum problems over C₃ʳ
Інший ID:
2010 MSC:20D60, 20K01.
Посилання:
Weighted zero-sum problems over C₃ʳ / H. Godinho, A. Lemos, D. Marques // Algebra and Discrete Mathematics. — 2013. — Vol. 15, № 2. — С. 201–212. — Бібліогр.: 13 назв. — англ.
Підтримка:
The first two authors were partially supported by a grant from CNPq-Brazil. The third author is partially supported by FAP-DF, FEMAT and CNPq-Brazil
Дата:
2013
Переглядів:
527
Завантажень:
153
Анотація:
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.
