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Artículo
Locally grid graphs: classification and Tutte uniqueness
dc.creator | Márquez Pérez, Alberto | |
dc.creator | Mier, Anna de | |
dc.creator | Noy, Marc | |
dc.creator | Revuelta Marchena, María Pastora | |
dc.date.accessioned | 2016-02-09T11:18:46Z | |
dc.date.available | 2016-02-09T11:18:46Z | |
dc.date.issued | 2003 | |
dc.identifier.uri | http://hdl.handle.net/11441/34383 | |
dc.description.abstract | We define a locally grid graph as a graph in which the structure around each vertex is a 3×3 grid ⊞, the canonical examples being the toroidal grids Cp×Cq. The paper contains two main results. First, we give a complete classification of locally grid graphs, showing that each of them has a natural embedding in the torus or in the Klein bottle. Secondly, as a continuation of the research initiated in (On graphs determined by their Tutte polynomials, Graphs Combin., to appear), we prove that Cp×Cq is uniquely determined by its Tutte polynomial, for p,q⩾6. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Discrete Mathematics, 266 (1-3), 327-352. | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Locally grid graph | es |
dc.subject | Toroidal grid | es |
dc.subject | Tutte polynomial | es |
dc.title | Locally grid graphs: classification and Tutte uniqueness | 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.identifier.doi | http://dx.doi.org/10.1016/S0012-365X(02)00818-X | es |
dc.journaltitle | Discrete Mathematics | es |
dc.publication.volumen | 266 | es |
dc.publication.issue | 01/03/17 | es |
dc.publication.initialPage | 327 | es |
dc.publication.endPage | 352 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/34383 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Locally grid.pdf | 310.8Kb | [PDF] | Ver/ | |