Weighted zero-sum problems over C₃ʳ
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)...
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| Published in: | Algebra and Discrete Mathematics |
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| Date: | 2013 |
| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Інститут прикладної математики і механіки НАН України
2013
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/152283 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862719935933841408 |
|---|---|
| author | Godinho, H. Lemos, A. Marques, D. |
| author_facet | Godinho, H. Lemos, A. Marques, D. |
| citation_txt | 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. |
| collection | DSpace DC |
| container_title | Algebra and Discrete Mathematics |
| description | 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.
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| first_indexed | 2025-12-07T18:23:00Z |
| format | Article |
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| id | nasplib_isofts_kiev_ua-123456789-152283 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1726-3255 |
| language | English |
| last_indexed | 2025-12-07T18:23:00Z |
| publishDate | 2013 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Godinho, H. Lemos, A. Marques, D. 2019-06-09T15:20:57Z 2019-06-09T15:20:57Z 2013 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. 1726-3255 2010 MSC:20D60, 20K01. https://nasplib.isofts.kiev.ua/handle/123456789/152283 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. 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 en Інститут прикладної математики і механіки НАН України Algebra and Discrete Mathematics Weighted zero-sum problems over C₃ʳ Article published earlier |
| spellingShingle | Weighted zero-sum problems over C₃ʳ Godinho, H. Lemos, A. Marques, D. |
| title | Weighted zero-sum problems over C₃ʳ |
| title_full | Weighted zero-sum problems over C₃ʳ |
| title_fullStr | Weighted zero-sum problems over C₃ʳ |
| title_full_unstemmed | Weighted zero-sum problems over C₃ʳ |
| title_short | Weighted zero-sum problems over C₃ʳ |
| title_sort | weighted zero-sum problems over c₃ʳ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/152283 |
| work_keys_str_mv | AT godinhoh weightedzerosumproblemsoverc3r AT lemosa weightedzerosumproblemsoverc3r AT marquesd weightedzerosumproblemsoverc3r |