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Artículo
Steiner distance and convexity in graphs
dc.creator | Cáceres González, José | |
dc.creator | Márquez Pérez, Alberto | |
dc.creator | Puertas González, María Luz | |
dc.date.accessioned | 2016-02-12T11:18:33Z | |
dc.date.available | 2016-02-12T11:18:33Z | |
dc.date.issued | 2008 | |
dc.identifier.uri | http://hdl.handle.net/11441/34681 | |
dc.description.abstract | We use the Steiner distance to define a convexity in the vertex set of a graph, which has a nice behavior in the well-known class of HHD-free graphs. For this graph class, we prove that any Steiner tree of a vertex set is included into the geodesical convex hull of the set, which extends the well-known fact that the Euclidean convex hull contains at least one Steiner tree for any planar point set. We also characterize the graph class where Steiner convexity becomes a convex geometry, and provide a vertex set that allows us to rebuild any convex set, using convex hull operation, in any graph. | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | European Journal of Combinatorics, 29 (3), 726-736. | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Steiner distance and convexity in graphs | 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/j.ejc.2007.03.007 | es |
dc.journaltitle | European Journal of Combinatorics | es |
dc.publication.volumen | 29 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 726 | es |
dc.publication.endPage | 736 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/34681 |
Ficheros | Tamaño | Formato | Ver | Descripción |
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Steiner distance.pdf | 396.7Kb | [PDF] | Ver/ | |