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dc.contributor.author
Aguilera, Néstor Edgardo
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dc.date.available
2019-09-23T14:18:25Z
dc.date.issued
2008-02
dc.identifier.citation
Aguilera, Néstor Edgardo; Arithmetic relations in the set covering polyhedron of circulant clutters; Elsevier; Electronic Notes in Discrete Mathematics; 30; C; 2-2008; 123-128
dc.identifier.issn
1571-0653
dc.identifier.uri
http://hdl.handle.net/11336/84103
dc.description.abstract
We study the structure of the set covering polyhedron of circulant clutters, P (Cnk), especially the properties related to contractions that yield other circulant clutters. Building on work by Cornuéjols and Novick, we show that if Cnk / N is isomorphic to Cn′k′, then certain algebraic relations must hold and N is the union of particular disjoint simple directed cycles. We also show that this property is actually a characterization. Based on a result by Argiroffo and Bianchi, who characterize the set of null coordinates of vertices of P (Cnk) as being one of such N's, we then arrive at other characterizations, one of them being the conditions that hold between the existence of vertices and algebraic relations of certain parameters. With these tools at hand, we show how to obtain by algebraic means some old and new results, without depending on Lehman's work as is traditional in the field.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Packing
dc.subject
Covering
dc.subject
Circulant
dc.subject
Clutters
dc.subject.classification
Otras Matemáticas
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dc.subject.classification
Matemáticas
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dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
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dc.title
Arithmetic relations in the set covering polyhedron of circulant clutters
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-09-20T14:17:51Z
dc.journal.volume
30
dc.journal.number
C
dc.journal.pagination
123-128
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Aguilera, Néstor Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
dc.journal.title
Electronic Notes in Discrete Mathematics
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dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.endm.2008.01.023
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