Mostrar el registro sencillo del ítem
Artículo
A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five
dc.creator | Falcón Ganfornina, Raúl Manuel | es |
dc.creator | Johnson, Laura | es |
dc.creator | Perkins, Stephanie | es |
dc.date.accessioned | 2020-11-03T11:45:29Z | |
dc.date.available | 2020-11-03T11:45:29Z | |
dc.date.issued | 2020 | |
dc.identifier.citation | Falcón Ganfornina, R.M., Johnson, L. y Perkins, S. (2020). A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five. AIMS Mathematics, 6 (1), 261-295. | |
dc.identifier.issn | 2473-6988 | es |
dc.identifier.uri | https://hdl.handle.net/11441/102406 | |
dc.description.abstract | This paper delves into the study of critical sets of Latin squares having a given isotopism in their autotopism group. Particularly, we prove that the sizes of these critical sets only depend on both the main class of the Latin square and the cycle structure of the isotopism under consideration. Keeping then in mind that the autotopism group of a Latin square acts faithfully on the set of entries of the latter, we enumerate all the critical sets based on autotopisms of Latin squares of order up to five. | es |
dc.description.sponsorship | Junta de Andalucía FQM-016 | es |
dc.format | application/pdf | es |
dc.format.extent | 36 | es |
dc.language.iso | eng | es |
dc.publisher | AIMS Press | es |
dc.relation.ispartof | AIMS Mathematics, 6 (1), 261-295. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Latin square | es |
dc.subject | Autotopism | es |
dc.subject | Cycle structure | es |
dc.subject | Critical set | es |
dc.subject | Enumeration | es |
dc.title | A census of critical sets based on non-trivial autotopisms of Latin squares of order up to five | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Matemática Aplicada I (ETSII) | es |
dc.relation.projectID | FQM-016 | es |
dc.relation.publisherversion | https://www.aimspress.com/article/10.3934/math.2021017 | es |
dc.identifier.doi | 10.3934/math.2021017 | es |
dc.journaltitle | AIMS Mathematics | es |
dc.publication.volumen | 6 | es |
dc.publication.issue | 1 | es |
dc.publication.initialPage | 261 | es |
dc.publication.endPage | 295 | es |
dc.contributor.funder | Junta de Andalucía | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
---|---|---|---|---|
A census of critical sets based ... | 396.2Kb | [PDF] | Ver/ | |