{"created":"2023-06-26T11:02:05.370394+00:00","id":2861,"links":{},"metadata":{"_buckets":{"deposit":"fd5042d3-2830-4b9a-bea4-7d672d9c0c19"},"_deposit":{"created_by":33,"id":"2861","owners":[33],"pid":{"revision_id":0,"type":"depid","value":"2861"},"status":"published"},"_oai":{"id":"oai:oist.repo.nii.ac.jp:00002861","sets":["6:213"]},"author_link":["18241"],"control_number":"2861","item_10001_biblio_info_7":{"attribute_name":"Bibliographic Information","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2022-11-24","bibliographicIssueDateType":"Issued"},"bibliographic_titles":[{"bibliographic_title":"Annals of Combinatorics","bibliographic_titleLang":"en"}]}]},"item_10001_creator_3":{"attribute_name":"Author","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"McDowell, Eoghan","creatorNameLang":"en"}],"nameIdentifiers":[{}]}]},"item_10001_description_5":{"attribute_name":"Abstract","attribute_value_mlt":[{"subitem_description":"This paper investigates partitions which have neither parts nor hook lengths divisible by p, referred to as p-core p′-partitions. We show that the largest p-core p′-partition corresponds to the longest walk on a graph with vertices {0,1,…,p−1} and labelled edges defined via addition modulo p. We also exhibit an explicit family of large p-core p′-partitions, giving a lower bound on the size of the largest such partition which is of the same degree as the upper bound found by McSpirit and Ono.","subitem_description_type":"Other"}]},"item_10001_publisher_8":{"attribute_name":"Publisher","attribute_value_mlt":[{"subitem_publisher":"Springer Nature"}]},"item_10001_relation_14":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"info:doi/10.1007/s00026-022-00622-2","subitem_relation_type_select":"DOI"}}]},"item_10001_relation_17":{"attribute_name":"Related site","attribute_value_mlt":[{"subitem_relation_type":"isIdenticalTo","subitem_relation_type_id":{"subitem_relation_type_id_text":"https://link.springer.com/article/10.1007/s00026-022-00622-2","subitem_relation_type_select":"URI"}}]},"item_10001_rights_15":{"attribute_name":"Rights","attribute_value_mlt":[{"subitem_rights":"© 2022 The Author."},{"subitem_rights":"This version of the article has been accepted for publication, after peer review (when applicable) and is subject to Springer Nature’s AM terms of use, but is not the Version of Record and does not reflect post-acceptance improvements, or any corrections. The Version of Record is available online at: http://dx.doi.org/10.1007/s00026-022-00622-2"}]},"item_10001_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0218-0006","subitem_source_identifier_type":"PISSN"},{"subitem_source_identifier":"0219-3094","subitem_source_identifier_type":"EISSN"}]},"item_10001_version_type_20":{"attribute_name":"Author's flag","attribute_value_mlt":[{"subitem_version_resource":"http://purl.org/coar/version/c_ab4af688f83e57aa","subitem_version_type":"AM"}]},"item_access_right":{"attribute_name":"アクセス権","attribute_value_mlt":[{"subitem_access_right":"open access","subitem_access_right_uri":"http://purl.org/coar/access_right/c_abf2"}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2023-11-24"}],"displaytype":"detail","filename":"p-core_pprime-partitions 2022-11.pdf","filesize":[{"value":"341.0 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"p-core_pprime-partitions 2022-11","url":"https://oist.repo.nii.ac.jp/record/2861/files/p-core_pprime-partitions 2022-11.pdf"},"version_id":"2e41c8bb-a8c9-4e2e-a4da-ac5148b214df"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Partitions","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"abaci","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"hook lengths","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"symmetric groups","subitem_subject_language":"en","subitem_subject_scheme":"Other"}]},"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":"Large p-core p'-partitions and walks on the additive residue graph","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Large p-core p'-partitions and walks on the additive residue graph","subitem_title_language":"en"}]},"item_type_id":"10001","owner":"33","path":["213"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-12-06"},"publish_date":"2022-12-06","publish_status":"0","recid":"2861","relation_version_is_last":true,"title":["Large p-core p'-partitions and walks on the additive residue graph"],"weko_creator_id":"33","weko_shared_id":-1},"updated":"2023-11-08T05:28:25.195031+00:00"}