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Order types and cross-sections of line arrangements in R^3
| dc.contributor.author | Aichholzer, Oswin |
| dc.contributor.author | Fabila-Monroy, Ruy |
| dc.contributor.author | Hurtado Díaz, Fernando Alfredo |
| dc.contributor.author | Pérez Lantero, Pablo |
| dc.contributor.author | Ruiz Vargas, Andrés |
| dc.contributor.author | Urrutia Galicia, Jorge |
| dc.contributor.author | Vogtenhuber, Birgit |
| dc.date.accessioned | 2015-02-24T12:06:32Z |
| dc.date.created | 2014 |
| dc.date.issued | 2014 |
| dc.identifier.citation | Aichholzer, O. [et al.]. Order types and cross-sections of line arrangements in R^3. A: Canadian Conference on Computational Geometry. "Proceedings 26th Canadian Conference on Computational Geometry". 2014, p. 1-6. |
| dc.identifier.uri | http://hdl.handle.net/2117/26484 |
| dc.description.abstract | We consider sets L = {l1,...., ln} of n labeled lines in general position in R3, and study the order types of point sets fp1; : : : ; png that stem from the intersections of the lines in L with (directed) planes II, not parallel to any line of L, i.e., the proper cross-sections of L. As a main result we show that the number of different order types that can be obtained as cross-sections of L is O(n9), and that this bound is tight. |
| dc.format.extent | 6 p. |
| dc.language.iso | eng |
| dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Geometria::Geometria computacional |
| dc.subject.lcsh | Computational geometry |
| dc.title | Order types and cross-sections of line arrangements in R^3 |
| dc.type | Conference report |
| dc.subject.lemac | Geometria computacional |
| dc.contributor.group | Universitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta |
| dc.description.peerreviewed | Peer Reviewed |
| dc.relation.publisherversion | https://projects.cs.dal.ca/cccg2014/proceedings/papers/paper39.pdf |
| dc.rights.access | Restricted access - publisher's policy |
| local.identifier.drac | 15432218 |
| dc.description.version | Postprint (published version) |
| dc.date.lift | 10000-01-01 |
| local.citation.author | Aichholzer, O.; Fabila-Monroy, R.; Hurtado, F.; Pérez, P.; Ruiz, A.; URRUTIA, J.; Vogtenhuber, B. |
| local.citation.contributor | Canadian Conference on Computational Geometry |
| local.citation.publicationName | Proceedings 26th Canadian Conference on Computational Geometry |
| local.citation.startingPage | 1 |
| local.citation.endingPage | 6 |