Cardinality of sets associated to b_3 and b_4 sets
A subset $\mathcal{A}$ of a finite abelian group $(G,+)$ is called a $B_h$ set on $G$ if all sums of $h$ elements of $\mathcal{A}$ are different. In this paper we state closed formulas for the cardinality of some sets associated with $B_3$ and $B_4$ sets, and we analyze implications for the largest...
- Autores:
-
Bravo, Jhon J.
Ruiz, Diego F.
Trujillo, Carlos A.
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2012
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/42250
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/42250
http://bdigital.unal.edu.co/32347/
- Palabra clave:
- Sidon sets
B_h sets
11B50
11B75
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
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Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Bravo, Jhon J.738072e5-6106-4cb9-8ad0-dbdce4271231300Ruiz, Diego F.5257a943-a2d4-4fb3-8e2f-e563e5fa1928300Trujillo, Carlos A.d0547f96-1709-48b3-9e57-8699c741a6513002019-06-28T10:39:24Z2019-06-28T10:39:24Z2012https://repositorio.unal.edu.co/handle/unal/42250http://bdigital.unal.edu.co/32347/A subset $\mathcal{A}$ of a finite abelian group $(G,+)$ is called a $B_h$ set on $G$ if all sums of $h$ elements of $\mathcal{A}$ are different. In this paper we state closed formulas for the cardinality of some sets associated with $B_3$ and $B_4$ sets, and we analyze implications for the largest cardinality of a $B_h$ set on $G$.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/31840Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 46, núm. 1 (2012); 27-37 0034-7426Bravo, Jhon J. and Ruiz, Diego F. and Trujillo, Carlos A. (2012) Cardinality of sets associated to b_3 and b_4 sets. Revista Colombiana de Matemáticas; Vol. 46, núm. 1 (2012); 27-37 0034-7426 .Cardinality of sets associated to b_3 and b_4 setsArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTSidon setsB_h sets11B5011B75ORIGINAL31840-142398-1-PB.htmltext/html3703https://repositorio.unal.edu.co/bitstream/unal/42250/1/31840-142398-1-PB.html10e22fc2268c71f7240b940321213108MD5131840-116356-1-PB.pdfapplication/pdf393005https://repositorio.unal.edu.co/bitstream/unal/42250/2/31840-116356-1-PB.pdf6172d80df97be089ba5dd61143432645MD52THUMBNAIL31840-116356-1-PB.pdf.jpg31840-116356-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg4911https://repositorio.unal.edu.co/bitstream/unal/42250/3/31840-116356-1-PB.pdf.jpg3442b3f26eedd6f741b6a358b8c35d1dMD53unal/42250oai:repositorio.unal.edu.co:unal/422502024-02-04 23:06:22.509Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co |
| dc.title.spa.fl_str_mv |
Cardinality of sets associated to b_3 and b_4 sets |
| title |
Cardinality of sets associated to b_3 and b_4 sets |
| spellingShingle |
Cardinality of sets associated to b_3 and b_4 sets Sidon sets B_h sets 11B50 11B75 |
| title_short |
Cardinality of sets associated to b_3 and b_4 sets |
| title_full |
Cardinality of sets associated to b_3 and b_4 sets |
| title_fullStr |
Cardinality of sets associated to b_3 and b_4 sets |
| title_full_unstemmed |
Cardinality of sets associated to b_3 and b_4 sets |
| title_sort |
Cardinality of sets associated to b_3 and b_4 sets |
| dc.creator.fl_str_mv |
Bravo, Jhon J. Ruiz, Diego F. Trujillo, Carlos A. |
| dc.contributor.author.spa.fl_str_mv |
Bravo, Jhon J. Ruiz, Diego F. Trujillo, Carlos A. |
| dc.subject.proposal.spa.fl_str_mv |
Sidon sets B_h sets 11B50 11B75 |
| topic |
Sidon sets B_h sets 11B50 11B75 |
| description |
A subset $\mathcal{A}$ of a finite abelian group $(G,+)$ is called a $B_h$ set on $G$ if all sums of $h$ elements of $\mathcal{A}$ are different. In this paper we state closed formulas for the cardinality of some sets associated with $B_3$ and $B_4$ sets, and we analyze implications for the largest cardinality of a $B_h$ set on $G$. |
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2012 |
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2012 |
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2019-06-28T10:39:24Z |
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2019-06-28T10:39:24Z |
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spa |
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http://revistas.unal.edu.co/index.php/recolma/article/view/31840 |
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Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
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Revista Colombiana de Matemáticas; Vol. 46, núm. 1 (2012); 27-37 0034-7426 |
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Bravo, Jhon J. and Ruiz, Diego F. and Trujillo, Carlos A. (2012) Cardinality of sets associated to b_3 and b_4 sets. Revista Colombiana de Matemáticas; Vol. 46, núm. 1 (2012); 27-37 0034-7426 . |
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Derechos reservados - Universidad Nacional de Colombia |
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Atribución-NoComercial 4.0 Internacional |
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