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Artículo
Enumeration and classification of self-orthogonal partial Latin rectangles by using the polynomial method
dc.creator | Falcón Ganfornina, Raúl Manuel | es |
dc.date.accessioned | 2017-12-20T10:26:08Z | |
dc.date.available | 2017-12-20T10:26:08Z | |
dc.date.issued | 2015 | |
dc.identifier.citation | Falcón Ganfornina, R.M. (2015). Enumeration and classification of self-orthogonal partial Latin rectangles by using the polynomial method. European Journal of Combinatorics, 48, 215-223. | |
dc.identifier.issn | 0195-6698 | es |
dc.identifier.uri | http://hdl.handle.net/11441/67848 | |
dc.description.abstract | The current paper deals with the enumeration and classification of the set SORr,n of self-orthogonal r × r partial Latin rectangles based on n symbols. These combinatorial objects are identified with the independent sets of a Hamming graph and with the zeros of a radical zero-dimensional ideal of polynomials, whose reduced Gröbner basis and Hilbert series can be computed to determine explicitly the set SORr,n. In particular, the cardinality of this set is shown for r ≤ 4 and n ≤ 9 and several formulas on the cardinality of SORr,n are exposed, for r ≤ 3. The distribution of r × s partial Latin rectangles based on n symbols according to their size is also obtained, for all r, s, n ≤ 4. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | European Journal of Combinatorics, 48, 215-223. | |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Enumeration and classification of self-orthogonal partial Latin rectangles by using the polynomial method | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I | es |
dc.relation.publisherversion | https://doi.org/10.1016/j.ejc.2015.02.022 | es |
dc.identifier.doi | 10.1016/j.ejc.2015.02.022 | es |
dc.contributor.group | Universidad de Sevilla. FQM016: Códigos, diseños, criptografía y optimización | es |
idus.format.extent | 9 p. | es |
dc.journaltitle | European Journal of Combinatorics | es |
dc.publication.volumen | 48 | es |
dc.publication.initialPage | 215 | es |
dc.publication.endPage | 223 | es |