{"created":"2023-05-15T12:00:49.280266+00:00","id":7782,"links":{},"metadata":{"_buckets":{"deposit":"ecf899d7-f512-4bc0-9dd1-bba48ab6984b"},"_deposit":{"created_by":3,"id":"7782","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"7782"},"status":"published"},"_oai":{"id":"oai:kyutech.repo.nii.ac.jp:00007782","sets":["8:9"]},"author_link":["6037","34137","34139","34135","34142","34143","34134","34140","34138"],"item_21_biblio_info_6":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2009-11-05","bibliographicIssueDateType":"Issued"},"bibliographicPageEnd":"96","bibliographicPageStart":"78","bibliographicVolumeNumber":"22","bibliographic_titles":[{"bibliographic_title":"Journal of Combinatorial Optimization"}]}]},"item_21_description_4":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Given a simple, undirected graph G=(V,E) and a weight function w:E→ℤ+, we consider the problem of orienting all edges in E so that the maximum weighted outdegree among all vertices is minimized. It has previously been shown that the unweighted version of the problem is solvable in polynomial time while the weighted version is (weakly) NP-hard. In this paper, we strengthen these results as follows: (1) We prove that the weighted version is strongly NP-hard even if all edge weights belong to the set {1,k}, where k is any fixed integer greater than or equal to 2, and that there exists no pseudo-polynomial time approximation algorithm for this problem whose approximation ratio is smaller than (1+1/k) unless P = NP; (2) we present a new polynomial-time algorithm that approximates the general version of the problem within a ratio of (2−1/k), where k is the maximum weight of an edge in G; (3) we show how to approximate the special case in which all edge weights belong to {1,k} within a ratio of 3/2 for k=2 (note that this matches the inapproximability bound above), and (2−2/(k+1)) for any k≥3, respectively, in polynomial time.","subitem_description_type":"Abstract"}]},"item_21_description_60":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"Journal Article","subitem_description_type":"Other"}]},"item_21_full_name_3":{"attribute_name":"著者別名","attribute_value_mlt":[{"nameIdentifiers":[{"nameIdentifier":"34139","nameIdentifierScheme":"WEKO"}],"names":[{"name":"Asahiro,  Y."}]},{"nameIdentifiers":[{"nameIdentifier":"34140","nameIdentifierScheme":"WEKO"}],"names":[{"name":"Jansson,  J."}]},{"affiliations":[{"affiliationNames":[{"affiliationName":"","lang":"ja"}],"nameIdentifiers":[]}],"familyNames":[{"familyName":"Miyano","familyNameLang":"en"},{"familyName":"宮野","familyNameLang":"ja"},{"familyName":"ミヤノ","familyNameLang":"ja-Kana"}],"givenNames":[{"givenName":"Eiji","givenNameLang":"en"},{"givenName":"英次","givenNameLang":"ja"},{"givenName":"エイジ","givenNameLang":"ja-Kana"}],"nameIdentifiers":[{"nameIdentifier":"6037","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"10284548","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/nrid/1000010284548"},{"nameIdentifier":"6603649200","nameIdentifierScheme":"Scopus著者ID","nameIdentifierURI":"https://www.scopus.com/authid/detail.uri?authorId=6603649200"},{"nameIdentifier":"0000-0002-4260-7818","nameIdentifierScheme":"ORCiD","nameIdentifierURI":"https://orcid.org/0000-0002-4260-7818"},{"nameIdentifier":"233","nameIdentifierScheme":"九工大研究者情報","nameIdentifierURI":"https://hyokadb02.jimu.kyutech.ac.jp/html/233_ja.html"}],"names":[{"name":"Miyano, Eiji","nameLang":"en"},{"name":"宮野, 英次","nameLang":"ja"},{"name":"ミヤノ, エイジ","nameLang":"ja-Kana"}]},{"nameIdentifiers":[{"nameIdentifier":"34142","nameIdentifierScheme":"WEKO"}],"names":[{"name":"Ono,  H."}]},{"nameIdentifiers":[{"nameIdentifier":"34143","nameIdentifierScheme":"WEKO"}],"names":[{"name":"Zenmyo,  K."}]}]},"item_21_link_62":{"attribute_name":"研究者情報","attribute_value_mlt":[{"subitem_link_url":"https://hyokadb02.jimu.kyutech.ac.jp/html/233_ja.html"}]},"item_21_publisher_7":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Springer"}]},"item_21_relation_12":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1007/s10878-009-9276-z","subitem_relation_type_select":"DOI"}}]},"item_21_rights_13":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Copyright (c) Springer Science+Business Media, LLC 2009. This is a post-peer-review, pre-copyedit version of an article published in Journal of Combinatorial Optimization. The final authenticated version is available online at: https://doi.org/10.1007/s10878-009-9276-z."}]},"item_21_select_59":{"attribute_name":"査読の有無","attribute_value_mlt":[{"subitem_select_item":"yes"}]},"item_21_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"1573-2886","subitem_source_identifier_type":"ISSN"},{"subitem_source_identifier":"1382-6905","subitem_source_identifier_type":"ISSN"}]},"item_21_text_28":{"attribute_name":"論文ID（連携）","attribute_value_mlt":[{"subitem_text_value":"10347746"}]},"item_21_text_36":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_value":"Kyushu Sangyo University"},{"subitem_text_value":"Ochanomizu University"},{"subitem_text_value":"Kyushu Institute of Technology"},{"subitem_text_value":"Kyushu University"},{"subitem_text_value":"Kyushu Institute of Technology"}]},"item_21_text_63":{"attribute_name":"連携ID","attribute_value_mlt":[{"subitem_text_value":"10663"}]},"item_21_version_type_58":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Asahiro,  Yuichi"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Jansson,  Jesper"}],"nameIdentifiers":[{}]},{"creatorAffiliations":[{"affiliationNameIdentifiers":[],"affiliationNames":[{"affiliationName":""}]}],"creatorNames":[{"creatorName":"Miyano, Eiji","creatorNameLang":"en"},{"creatorName":"宮野, 英次","creatorNameLang":"ja"},{"creatorName":"ミヤノ, エイジ","creatorNameLang":"ja-Kana"}],"familyNames":[{},{},{}],"givenNames":[{},{},{}],"nameIdentifiers":[{},{},{},{},{}]},{"creatorNames":[{"creatorName":"Ono,  Hirotaka"}],"nameIdentifiers":[{}]},{"creatorNames":[{"creatorName":"Zenmyo,  Kouhei"}],"nameIdentifiers":[{}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2022-10-03"}],"displaytype":"detail","filename":"10347746.pdf","filesize":[{"value":"290.7 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"10347746.pdf","url":"https://kyutech.repo.nii.ac.jp/record/7782/files/10347746.pdf"},"version_id":"65076ef8-fa1b-4ede-a010-b15387c5c7ad"}]},"item_language":{"attribute_name":"言語","attribute_value_mlt":[{"subitem_language":"eng"}]},"item_resource_type":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"resourcetype":"journal article","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Approximation algorithms for the graph orientation minimizing the maximum weighted outdegree","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Approximation algorithms for the graph orientation minimizing the maximum weighted outdegree"}]},"item_type_id":"21","owner":"3","path":["9"],"pubdate":{"attribute_name":"公開日","attribute_value":"2022-10-03"},"publish_date":"2022-10-03","publish_status":"0","recid":"7782","relation_version_is_last":true,"title":["Approximation algorithms for the graph orientation minimizing the maximum weighted outdegree"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2024-04-02T08:42:10.599486+00:00"}