{"created":"2023-06-20T14:26:11.844500+00:00","id":7371,"links":{},"metadata":{"_buckets":{"deposit":"53f95167-8bed-4e8f-ac30-7f42ed24b629"},"_deposit":{"created_by":3,"id":"7371","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"7371"},"status":"published"},"_oai":{"id":"oai:aue.repo.nii.ac.jp:00007371","sets":["724:726"]},"author_link":["118"],"item_4_biblio_info_7":{"attribute_name":"書誌事項","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2019-07","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"7","bibliographicPageEnd":"2138","bibliographicPageStart":"2134","bibliographicVolumeNumber":"342","bibliographic_titles":[{"bibliographic_title":"Discrete Mathematics"}]}]},"item_4_description_27":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"text","subitem_description_type":"Other"}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"We deal with connected k-regular multigraphs of order n that has only three distinct eigenvalues. In this paper, we study the largest possible number of vertices of such a graph for given k. For k = 2; 3; 7, the Moore graphs are largest. For k ≠ 2; 3; 7; 57, we show an upper bound n ≤ k2 - k + 1, with equality if and only if there exists a  nite projective plane of order k - 1 that admits a polarity.","subitem_description_type":"Abstract"}]},"item_4_link_3":{"attribute_name":"研究者総覧へのリンク","attribute_value_mlt":[{"subitem_link_text":"野﨑, 寛","subitem_link_url":"https://souran.aichi-edu.ac.jp/teachers/0c22fe803199abfd.html"}]},"item_4_publisher_8":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Elsevier"}]},"item_4_relation_16":{"attribute_name":"関係URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"https://doi.org/10.1016/j.disc.2019.04.016"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"https://doi.org/10.1016/j.disc.2019.04.016","subitem_relation_type_select":"DOI"}}]},"item_4_relation_18":{"attribute_name":"DOI","attribute_value_mlt":[{"subitem_relation_type":"isVersionOf","subitem_relation_type_id":{"subitem_relation_type_id_text":"info:doi/10.1016/j.disc.2019.04.016","subitem_relation_type_select":"DOI"}}]},"item_4_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"©2019.This manuscript version is made available under the CC-BY-NC-ND 4.0 licence http://creativecommons.org/licenses/by-nc-nd/4.0/"}]},"item_4_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0012-365X","subitem_source_identifier_type":"ISSN"}]},"item_4_text_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"subitem_text_value":"Discrete Mathematics. 2019, 342(7), 2134–2138."}]},"item_4_text_26":{"attribute_name":"著者別名","attribute_value_mlt":[{"subitem_text_value":"ノザキ, ヒロシ"}]},"item_4_text_4":{"attribute_name":"著者(別言語)","attribute_value_mlt":[{"subitem_text_value":"野﨑, 寛"}]},"item_4_version_type_14":{"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":"Nozaki, Hiroshi"}],"nameIdentifiers":[{"nameIdentifier":"118","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"80275148","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=80275148"},{"nameIdentifier":"80275148","nameIdentifierScheme":"KAKEN - 研究者検索","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/nrid/1000080275148/"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2021-08-01"}],"displaytype":"detail","filename":"nozakih004.pdf","filesize":[{"value":"92.5 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"nozakih004","url":"https://aue.repo.nii.ac.jp/record/7371/files/nozakih004.pdf"},"version_id":"ba8e3627-32af-4078-8e81-5e0866666cf3"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Graph spectrum","subitem_subject_scheme":"Other"},{"subitem_subject":"Moore bound","subitem_subject_scheme":"Other"},{"subitem_subject":"linear programming bound","subitem_subject_scheme":"Other"},{"subitem_subject":"projective plane","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":"Largest regular multigraphs with three distinct eigenvalues","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Largest regular multigraphs with three distinct eigenvalues","subitem_title_language":"en"}]},"item_type_id":"4","owner":"3","path":["726"],"pubdate":{"attribute_name":"公開日","attribute_value":"2019-10-11"},"publish_date":"2019-10-11","publish_status":"0","recid":"7371","relation_version_is_last":true,"title":["Largest regular multigraphs with three distinct eigenvalues"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T15:00:41.981106+00:00"}