Mostra el registre d'ítem simple
On the number of monochromatic solutions of integer linear systems on Abelian groups
dc.contributor.author | Serra Albó, Oriol |
dc.contributor.author | Vena, Lluis |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada IV |
dc.date.accessioned | 2012-01-19T19:02:33Z |
dc.date.available | 2012-01-19T19:02:33Z |
dc.date.created | 2011-12-01 |
dc.date.issued | 2011-12-01 |
dc.identifier.citation | Serra, O.; Vena, L. On the number of monochromatic solutions of integer linear systems on Abelian groups. "Electronic notes in discrete mathematics", 01 Desembre 2011, vol. 38, p. 777-781. |
dc.identifier.issn | 1571-0653 |
dc.identifier.uri | http://hdl.handle.net/2117/14688 |
dc.description.abstract | Let G be a finite cyclic group an let r be a positive integer. Let A be a k×m matrix with integer entries. We show that, if A satisfies some natural conditions, then the homogeneous linear system Ax=0 has Ω(|GN|m−k) monochromatic solutions for each r-coloring of GN\{0} and sufficiently large N. Density versions of this counting result are also addressed. |
dc.format.extent | 5 p. |
dc.language.iso | eng |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra |
dc.subject.lcsh | Abelian groups |
dc.subject.lcsh | Algebra |
dc.subject.other | Arithmetic Ramsey Theory |
dc.subject.other | Linear systems |
dc.subject.other | Monochromatic solutions |
dc.title | On the number of monochromatic solutions of integer linear systems on Abelian groups |
dc.type | Article |
dc.subject.lemac | Grups abelians |
dc.subject.lemac | Àlgebra |
dc.contributor.group | Universitat Politècnica de Catalunya. COMBGRAPH - Combinatòria, Teoria de Grafs i Aplicacions |
dc.identifier.doi | 10.1016/j.endm.2011.10.030 |
dc.description.peerreviewed | Peer Reviewed |
dc.relation.publisherversion | http://www.sciencedirect.com/science/article/pii/S157106531100196X |
dc.rights.access | Restricted access - publisher's policy |
local.identifier.drac | 8869027 |
dc.description.version | Postprint (published version) |
local.citation.author | Serra, O.; Vena, L. |
local.citation.publicationName | Electronic notes in discrete mathematics |
local.citation.volume | 38 |
local.citation.startingPage | 777 |
local.citation.endingPage | 781 |
Fitxers d'aquest items
Aquest ítem apareix a les col·leccions següents
-
Articles de revista [3.267]
-
Articles de revista [290]