Counting configuration–free sets in groups

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/86058

dc.contributor	Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor	Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions
dc.contributor.author	Rué Perna, Juan José
dc.contributor.author	Serra Albó, Oriol
dc.contributor.author	Vena Cros, Lluís
dc.date	2015
dc.identifier.citation	Rue, J., Serra, O., Vena , L. Counting configuration–free sets in groups. A: European Conference on Combinatorics, Graph Theory and Applications. "Eurocomb 2015". Bergen: 2015, p. 549-557.
dc.identifier.citation	10.1016/j.endm.2015.06.075
dc.identifier.uri	http://hdl.handle.net/2117/86058
dc.language.iso	eng
dc.relation	http://www.sciencedirect.com/science/article/pii/S1571065315001213
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
dc.subject	Hypergraphs
dc.subject	arithmetic removal lemma
dc.subject	hypergraph container
dc.subject	arithmetic combinatorics
dc.subject	Grafs, Teoria de
dc.title	Counting configuration–free sets in groups
dc.type	info:eu-repo/semantics/submittedVersion
dc.type	info:eu-repo/semantics/conferenceObject
dc.description.abstract	We present a unified framework to asymptotically count the number of sets, with a given cardinality, free of certain configurations. This is done by combining the hypergraph containers methodology joint with arithmetic removal lemmas. Several applications involving linear configurations are described, as well as some applications in the random sparse setting.

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