The number of empty four-gons in random point sets

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/26500

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.contributor	Universitat Politècnica de Catalunya. DCCG - Grup de recerca en geometria computacional, combinatoria i discreta
dc.contributor.author	Fabila-Monroy, Ruy
dc.contributor.author	Huemer, Clemens
dc.contributor.author	Mitsche, Dieter
dc.date	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.citation	1571-0653
dc.identifier.citation	10.1016/j.endm.2014.08.022
dc.identifier.uri	http://hdl.handle.net/2117/26500
dc.language.iso	eng
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	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	Dynamical systems and ergodic theory
dc.subject	random point set
dc.subject	four-gon
dc.subject	empty polygon
dc.subject	geometric probability
dc.subject	Equacions diferencials
dc.title	The number of empty four-gons in random point sets
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/article
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.

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