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dc.contributor.authorKrál, Daniel
dc.contributor.authorSerra Albó, Oriol
dc.contributor.authorVena, Lluis
dc.contributor.otherUniversitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV
dc.identifier.citationKrál, D.; Serra, O.; Vena, L. On the number of solutions of regular systems in sets with positive density in abelian groups. A: VII Jornadas de Matemática Discreta y Algorítmica. "VII Jornadas de Matemática Discreta y Algorítmica". Castro Urdiales: 2010, p. 401-409.
dc.description.abstractWe prove a density version for the Ramsey statement that, for fixed r and sufficiently large n, every coloring of an abelian group of order n with r colors has nontrivial monochromatic solutions of the system Ax = 0, where A is an integer matrix with row–sum zero. Our result shows that asymptotically the number of solutions is in fact as large as it can be expected.
dc.format.extent9 p.
dc.subjectÀrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Teoria de grups
dc.subject.lcshAbelian groups
dc.subject.lcshGroup theory
dc.titleOn the number of solutions of regular systems in sets with positive density in abelian groups
dc.typeConference report
dc.subject.lemacGrups abelians
dc.subject.lemacGrafs, Teoria de
dc.subject.lemacGrups, Teoria de
dc.contributor.groupUniversitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions
dc.rights.accessRestricted access - publisher's policy
dc.description.versionPostprint (published version)
upcommons.citation.authorKrál, D.; Serra, O.; Vena, L.
upcommons.citation.contributorVII Jornadas de Matemática Discreta y Algorítmica
upcommons.citation.pubplaceCastro Urdiales
upcommons.citation.publicationNameVII Jornadas de Matemática Discreta y Algorítmica

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