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The number of empty four-gons in random point sets
| dc.contributor.author | Fabila-Monroy, Ruy |
| dc.contributor.author | Huemer, Clemens |
| dc.contributor.author | Mitsche, Dieter |
| dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
| dc.date.accessioned | 2015-02-25T11:16:10Z |
| dc.date.available | 2015-02-25T11:16:10Z |
| dc.date.created | 2014 |
| dc.date.issued | 2014 |
| dc.identifier.citation | Fabila-Monroy, R.; Huemer, C.; Mitsche, D. The number of empty four-gons in random point sets. "Electronic notes in discrete mathematics", 2014, vol. 46, p. 161-168. |
| dc.identifier.issn | 1571-0653 |
| dc.identifier.uri | http://hdl.handle.net/2117/26500 |
| dc.description.abstract | Let S be a set of n points distributed uniformly and independently in the unit square. Then the expected number of empty four-gons with vertices from S is T(n^2 log¿ n). A four-gon is empty if it contains no points of S in its interior. |
| dc.format.extent | 8 p. |
| dc.language.iso | eng |
| 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::Equacions diferencials i integrals |
| dc.subject.lcsh | Dynamical systems and ergodic theory |
| dc.subject.other | random point set |
| dc.subject.other | four-gon |
| dc.subject.other | empty polygon |
| dc.subject.other | geometric probability |
| dc.title | The number of empty four-gons in random point sets |
| dc.type | Article |
| dc.subject.lemac | Equacions diferencials |
| dc.contributor.group | Universitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta |
| dc.identifier.doi | 10.1016/j.endm.2014.08.022 |
| dc.rights.access | Open Access |
| local.identifier.drac | 15401258 |
| dc.description.version | Postprint (author’s final draft) |
| local.citation.author | Fabila-Monroy, R.; Huemer, C.; Mitsche, D. |
| local.citation.publicationName | Electronic notes in discrete mathematics |
| local.citation.volume | 46 |
| local.citation.startingPage | 161 |
| local.citation.endingPage | 168 |
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