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Colored spanning graphs for set visualization
dc.contributor.author | Hurtado Díaz, Fernando Alfredo |
dc.contributor.author | Korman Cozzetti, Matías |
dc.contributor.author | Van Kreveld, Matias |
dc.contributor.author | Löffler, Maarten |
dc.contributor.author | Sacristán Adinolfi, Vera |
dc.contributor.author | Silveira, Rodrigo Ignacio |
dc.contributor.author | Speckmann, Bettina |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada II |
dc.date.accessioned | 2014-06-26T17:02:39Z |
dc.date.available | 2015-01-01T03:30:56Z |
dc.date.created | 2013 |
dc.date.issued | 2013 |
dc.identifier.citation | Hurtado, F. [et al.]. Colored spanning graphs for set visualization. A: Symposium on Graph Drawing. "Graph Drawing, LNCS 8242". Bordeaux: Springer, 2013, p. 280-291. |
dc.identifier.isbn | 978-3-319-03840-7 |
dc.identifier.uri | http://hdl.handle.net/2117/23314 |
dc.description.abstract | We study an algorithmic problem that is motivated by ink minimization for sparse set visualizations. Our input is a set of points in the plane which are either blue, red, or purple. Blue points belong exclusively to the blue set, red points belong exclusively to the red set, and purple points belong to both sets. A red-blue-purple spanning graph (RBP spanning graph) is a set of edges connecting the points such that the subgraph induced by the red and purple points is connected, and the subgraph induced by the blue and purple points is connected. We study the geometric properties of minimum RBP spanning graphs and the algorithmic problems associated with computing them. Specifically, we show that the general problem is NP-hard. Hence we give an (1/2¿+1)-approximation, where ¿ is the Steiner ratio. We also present efficient exact solutions if the points are located on a line or a circle. Finally we consider extensions to more than two sets. |
dc.format.extent | 12 p. |
dc.language.iso | eng |
dc.publisher | Springer |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Matemàtica discreta::Teoria de grafs |
dc.subject.lcsh | Graph theory |
dc.title | Colored spanning graphs for set visualization |
dc.type | Conference report |
dc.subject.lemac | Grafs, Teoria de |
dc.contributor.group | Universitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta |
dc.identifier.doi | 10.1007/978-3-319-03841-4_25 |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::05 Combinatorics::05C Graph theory |
dc.relation.publisherversion | http://link.springer.com/chapter/10.1007%2F978-3-319-03841-4_25 |
dc.rights.access | Open Access |
local.identifier.drac | 12918683 |
dc.description.version | Postprint (published version) |
local.citation.author | Hurtado, F.; Korman, M.; Van Kreveld, M.; Löffler, M.; Sacristan, V.; Silveira, R.I.; Speckmann, B. |
local.citation.contributor | Symposium on Graph Drawing |
local.citation.pubplace | Bordeaux |
local.citation.publicationName | Graph Drawing, LNCS 8242 |
local.citation.startingPage | 280 |
local.citation.endingPage | 291 |