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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| Datum: | 2013 |
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| Sprache: | English |
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Інститут прикладної математики і механіки НАН України
2013
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| Schriftenreihe: | Algebra and Discrete Mathematics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/152283 |
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| Zitieren: | 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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irk-123456789-1522832019-06-10T01:26:00Z Weighted zero-sum problems over C₃ʳ Godinho, H. Lemos, A. Marques, D. 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. 2013 Article 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. http://dspace.nbuv.gov.ua/handle/123456789/152283 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
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English |
| 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. |
| format |
Article |
| author |
Godinho, H. Lemos, A. Marques, D. |
| spellingShingle |
Godinho, H. Lemos, A. Marques, D. Weighted zero-sum problems over C₃ʳ Algebra and Discrete Mathematics |
| author_facet |
Godinho, H. Lemos, A. Marques, D. |
| author_sort |
Godinho, H. |
| title |
Weighted zero-sum problems over C₃ʳ |
| title_short |
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_sort |
weighted zero-sum problems over c₃ʳ |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/152283 |
| 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. |
| series |
Algebra and Discrete Mathematics |
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AT godinhoh weightedzerosumproblemsoverc3r AT lemosa weightedzerosumproblemsoverc3r AT marquesd weightedzerosumproblemsoverc3r |
| first_indexed |
2025-07-13T02:44:06Z |
| last_indexed |
2025-07-13T02:44:06Z |
| _version_ |
1837498002706530304 |