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dc.contributor.author
Lin, Min Chih  
dc.contributor.author
Mestre, Julian  
dc.contributor.author
Vasiliev, Saveliy  
dc.date.available
2019-12-17T15:39:31Z  
dc.date.issued
2018-02  
dc.identifier.citation
Lin, Min Chih; Mestre, Julian; Vasiliev, Saveliy; Approximating weighted neighborhood independent sets; Elsevier Science; Information Processing Letters; 130; 2-2018; 11-15  
dc.identifier.issn
0020-0190  
dc.identifier.uri
http://hdl.handle.net/11336/92377  
dc.description.abstract
A neighborhood independent set (NI-set) is a subset of edges in a graph such that the closed neighborhood of any vertex contains at most one edge of the subset. Finding a maximum cardinality NI-set is an NP-complete problem. We consider the weighted version of this problem. For general graphs we give an algorithm with approximation ratio Δ, and for diamond-free graphs we give a ratio , where Δ is the maximum degree of the input graph. Furthermore, we show that the problem is polynomially solvable on cographs. Finally, we give a tight upper bound on the cardinality of a NI-set on regular graphs.  
dc.format
application/pdf  
dc.language.iso
eng  
dc.publisher
Elsevier Science  
dc.rights
info:eu-repo/semantics/openAccess  
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/  
dc.subject
APPROXIMATION ALGORITHMS  
dc.subject
GRAPH ALGORITHMS  
dc.subject
WEIGHTED NEIGHBORHOOD INDEPENDENT SET  
dc.subject.classification
Ciencias de la Computación  
dc.subject.classification
Ciencias de la Computación e Información  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.subject.classification
Ciencias de la Computación  
dc.subject.classification
Ciencias de la Computación e Información  
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS  
dc.title
Approximating weighted neighborhood independent sets  
dc.type
info:eu-repo/semantics/article  
dc.type
info:ar-repo/semantics/artículo  
dc.type
info:eu-repo/semantics/publishedVersion  
dc.date.updated
2019-12-16T19:12:07Z  
dc.journal.volume
130  
dc.journal.pagination
11-15  
dc.journal.pais
Países Bajos  
dc.journal.ciudad
Amsterdam  
dc.description.fil
Fil: Lin, Min Chih. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Cálculo; Argentina  
dc.description.fil
Fil: Mestre, Julian. University of Sydney; Australia  
dc.description.fil
Fil: Vasiliev, Saveliy. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Cálculo; Argentina  
dc.journal.title
Information Processing Letters  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://linkinghub.elsevier.com/retrieve/pii/S0020019017301709  
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.ipl.2017.09.014