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DC Field | Value | Language |
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dc.contributor.author | Iwama, Kazuo | en |
dc.contributor.author | Miyazaki, Shuichi | en |
dc.contributor.author | Yanagisawa, Hiroki | en |
dc.contributor.alternative | 岩間, 一雄 | ja |
dc.contributor.alternative | 宮崎, 修一 | ja |
dc.contributor.alternative | 柳澤, 弘揮 | ja |
dc.date.accessioned | 2017-08-31T02:03:35Z | - |
dc.date.available | 2017-08-31T02:03:35Z | - |
dc.date.issued | 2014-03 | - |
dc.identifier.issn | 0178-4617 | - |
dc.identifier.uri | http://hdl.handle.net/2433/226941 | - |
dc.description.abstract | The problem of finding a largest stable matching where preference lists may include ties and unacceptable partners (MAX SMTI) is known to be NP-hard. It cannot be approximated within 33/29 (>1.1379) unless P=NP, and the current best approximation algorithm achieves the ratio of 1.5. MAX SMTI remains NP-hard even when preference lists of one side do not contain ties, and it cannot be approximated within 21/19 (>1.1052) unless P=NP. However, even under this restriction, the best known approximation ratio is still 1.5. In this paper, we improve it to 25/17 (<1.4706). | en |
dc.format.mimetype | application/pdf | - |
dc.language.iso | eng | - |
dc.publisher | Springer US | en |
dc.rights | The final publication is available at Springer via https://doi.org/10.1007/s00453-012-9699-2 | en |
dc.rights | The full-text file will be made open to the public on 01 March 2015 in accordance with publisher's 'Terms and Conditions for Self-Archiving'. | en |
dc.rights | This is not the published version. Please cite only the published version. | en |
dc.rights | この論文は出版社版でありません。引用の際には出版社版をご確認ご利用ください。 | ja |
dc.subject | The stable marriage problem | en |
dc.subject | The stable marriage with ties and incomplete lists | en |
dc.subject | Approximation algorithm | en |
dc.subject | Integer program | en |
dc.subject | Linear program relaxation | en |
dc.subject | Integrality gap | en |
dc.title | A 25/17-Approximation Algorithm for the Stable Marriage Problem with One-Sided Ties | en |
dc.type | journal article | - |
dc.type.niitype | Journal Article | - |
dc.identifier.jtitle | Algorithmica | en |
dc.identifier.volume | 68 | - |
dc.identifier.issue | 3 | - |
dc.identifier.spage | 758 | - |
dc.identifier.epage | 775 | - |
dc.relation.doi | 10.1007/s00453-012-9699-2 | - |
dc.textversion | author | - |
dc.address | Graduate School of Informatics, Kyoto University | en |
dc.address | Academic Center for Computing and Media Studies, Kyoto University | en |
dc.address | IBM Research—Tokyo | en |
dcterms.accessRights | open access | - |
datacite.date.available | 2015-03-01 | - |
datacite.awardNumber | 22240001 | - |
datacite.awardNumber | 20700009 | - |
datacite.awardNumber | 24500013 | - |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName | 日本学術振興会 | ja |
jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
jpcoar.funderName.alternative | Japan Society for the Promotion of Science (JSPS) | en |
Appears in Collections: | Journal Articles |

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