dc.creator | Cáceres, José | es |
dc.creator | Garijo Royo, Delia | es |
dc.creator | González Herrera, Antonio | es |
dc.creator | Márquez Pérez, Alberto | es |
dc.creator | Puertas, María Luz | es |
dc.date.accessioned | 2024-04-30T11:09:32Z | |
dc.date.available | 2024-04-30T11:09:32Z | |
dc.date.issued | 2015-07 | |
dc.identifier.citation | Cáceres, J., Garijo Royo, D., González Herrera, A., Márquez Pérez, A. y Puertas, M.L. (2015). Shortcut sets for Euclidean graphs. En XVI Spanish Meeting on Computational Geometry (EGC 2015), Barcelona (España). | |
dc.identifier.uri | https://hdl.handle.net/11441/157349 | |
dc.description.abstract | A Euclidean graph G is the locus of a rectilinear embedding of a planar graph in the Euclidean plane. A shortcut set S is a collection of segments with end points on G such that the Euclidean graph obtained from G byadding the segments in S has smaller diameter than G. The minimum cardinality of a shortcut set is the shortcut number scn(G). In this work, we first provide a tight upper bound on scn(G). We then show that it is possible, in polynomial time, to determine if scn(G) = 1 and, in that case, to construct a shortcut set that minimizes the diameter among all possible shortcut sets. Finally, we compute the shortcut number in some families of Euclidean graphs. | es |
dc.format | application/pdf | es |
dc.format.extent | 4 | es |
dc.language.iso | eng | es |
dc.relation.ispartof | XVI Spanish Meeting on Computational Geometry (EGC 2015) (2015), pp. 17-20. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.title | Shortcut sets for Euclidean graphs | es |
dc.type | info:eu-repo/semantics/conferenceObject | es |
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 | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Didáctica de las Matemáticas | es |
dc.relation.publisherversion | https://dccg.upc.edu/egc15/es/program/ | es |
dc.publication.initialPage | 17 | es |
dc.publication.endPage | 20 | es |
dc.eventtitle | XVI Spanish Meeting on Computational Geometry (EGC 2015) | es |
dc.eventinstitution | Barcelona (España) | es |