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
| id |
UNACIONAL2_2007258b36bd44cd519d3a787b881f0c |
|---|---|
| oai_identifier_str |
oai:repositorio.unal.edu.co:unal/42250 |
| network_acronym_str |
UNACIONAL2 |
| network_name_str |
Universidad Nacional de Colombia |
| repository_id_str |
|
| spelling |
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 $G$. |
| publishDate |
2012 |
| dc.date.issued.spa.fl_str_mv |
2012 |
| dc.date.accessioned.spa.fl_str_mv |
2019-06-28T10:39:24Z |
| dc.date.available.spa.fl_str_mv |
2019-06-28T10:39:24Z |
| dc.type.spa.fl_str_mv |
Artículo de revista |
| dc.type.coar.fl_str_mv |
http://purl.org/coar/resource_type/c_2df8fbb1 |
| dc.type.driver.spa.fl_str_mv |
info:eu-repo/semantics/article |
| dc.type.version.spa.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
| dc.type.coar.spa.fl_str_mv |
http://purl.org/coar/resource_type/c_6501 |
| dc.type.coarversion.spa.fl_str_mv |
http://purl.org/coar/version/c_970fb48d4fbd8a85 |
| dc.type.content.spa.fl_str_mv |
Text |
| dc.type.redcol.spa.fl_str_mv |
http://purl.org/redcol/resource_type/ART |
| format |
http://purl.org/coar/resource_type/c_6501 |
| status_str |
publishedVersion |
| dc.identifier.uri.none.fl_str_mv |
https://repositorio.unal.edu.co/handle/unal/42250 |
| dc.identifier.eprints.spa.fl_str_mv |
http://bdigital.unal.edu.co/32347/ |
| url |
https://repositorio.unal.edu.co/handle/unal/42250 http://bdigital.unal.edu.co/32347/ |
| dc.language.iso.spa.fl_str_mv |
spa |
| language |
spa |
| dc.relation.spa.fl_str_mv |
http://revistas.unal.edu.co/index.php/recolma/article/view/31840 |
| dc.relation.ispartof.spa.fl_str_mv |
Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas Revista Colombiana de Matemáticas |
| dc.relation.ispartofseries.none.fl_str_mv |
Revista Colombiana de Matemáticas; Vol. 46, núm. 1 (2012); 27-37 0034-7426 |
| dc.relation.references.spa.fl_str_mv |
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 . |
| dc.rights.spa.fl_str_mv |
Derechos reservados - Universidad Nacional de Colombia |
| dc.rights.coar.fl_str_mv |
http://purl.org/coar/access_right/c_abf2 |
| dc.rights.license.spa.fl_str_mv |
Atribución-NoComercial 4.0 Internacional |
| dc.rights.uri.spa.fl_str_mv |
http://creativecommons.org/licenses/by-nc/4.0/ |
| dc.rights.accessrights.spa.fl_str_mv |
info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
Atribución-NoComercial 4.0 Internacional Derechos reservados - Universidad Nacional de Colombia http://creativecommons.org/licenses/by-nc/4.0/ http://purl.org/coar/access_right/c_abf2 |
| eu_rights_str_mv |
openAccess |
| dc.format.mimetype.spa.fl_str_mv |
application/pdf |
| dc.publisher.spa.fl_str_mv |
Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas |
| institution |
Universidad Nacional de Colombia |
| bitstream.url.fl_str_mv |
https://repositorio.unal.edu.co/bitstream/unal/42250/1/31840-142398-1-PB.html https://repositorio.unal.edu.co/bitstream/unal/42250/2/31840-116356-1-PB.pdf https://repositorio.unal.edu.co/bitstream/unal/42250/3/31840-116356-1-PB.pdf.jpg |
| bitstream.checksum.fl_str_mv |
10e22fc2268c71f7240b940321213108 6172d80df97be089ba5dd61143432645 3442b3f26eedd6f741b6a358b8c35d1d |
| bitstream.checksumAlgorithm.fl_str_mv |
MD5 MD5 MD5 |
| repository.name.fl_str_mv |
Repositorio Institucional Universidad Nacional de Colombia |
| repository.mail.fl_str_mv |
repositorio_nal@unal.edu.co |
| _version_ |
1814089639184564224 |