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dc.contributor.author
Jonckheere, Matthieu Thimothy Samson
dc.contributor.author
Sáenz, Manuel
dc.date.available
2022-09-30T14:18:02Z
dc.date.issued
2021-01
dc.identifier.citation
Jonckheere, Matthieu Thimothy Samson; Sáenz, Manuel; Asymptotic optimality of degree-greedy discovering of independent sets in Configuration Model graphs; Elsevier Science; Stochastic Processes And Their Applications; 131; 1-2021; 122-150
dc.identifier.issn
0304-4149
dc.identifier.uri
http://hdl.handle.net/11336/171213
dc.description.abstract
Finding independent sets of maximum size in fixed graphs is well known to be an NP-hard task. Using scaling limits, we characterise the asymptotics of sequential degree-greedy explorations and provide sufficient conditions for this algorithm to find an independent set of asymptotically optimal size in large sparse random graphs with given degree sequences. In the special case of sparse Erdös–Rényi graphs, our results allow to give a simple proof of the so-called e-phenomenon identified by Karp and Sipser for matchings and to give an alternative characterisation of the asymptotic independence number.
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
HYDRODYNAMIC LIMITS
dc.subject
MAXIMUM INDEPENDENT SETS
dc.subject
RANDOM GRAPHS
dc.subject
SEQUENTIAL ALGORITHMS
dc.subject.classification
Estadística y Probabilidad
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Asymptotic optimality of degree-greedy discovering of independent sets in Configuration Model graphs
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2022-08-09T11:50:50Z
dc.identifier.eissn
1879-209X
dc.journal.volume
131
dc.journal.pagination
122-150
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Jonckheere, Matthieu Thimothy Samson. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Calculo. - Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Calculo; Argentina
dc.description.fil
Fil: Sáenz, Manuel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Calculo. - Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Calculo; Argentina
dc.journal.title
Stochastic Processes And Their Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0304414920303690?via%3Dihub
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.spa.2020.09.009
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1808.10358
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