{"created":"2023-06-20T14:25:10.206422+00:00","id":6127,"links":{},"metadata":{"_buckets":{"deposit":"5f62eca5-b005-4b19-b1bd-0bd439ce9912"},"_deposit":{"created_by":3,"id":"6127","owners":[3],"pid":{"revision_id":0,"type":"depid","value":"6127"},"status":"published"},"_oai":{"id":"oai:aue.repo.nii.ac.jp:00006127","sets":["724:726"]},"author_link":["30"],"item_4_biblio_info_7":{"attribute_name":"書誌事項","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2016-06","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"386","bibliographicPageStart":"379","bibliographicVolumeNumber":"20","bibliographic_titles":[{"bibliographic_title":"Annals of Combinatorics"}]}]},"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":"In this paper we characterize “large” regular graphs using certain entries in the projection matrices onto the eigenspaces of the graph. As a corollary of this result, we show that “large” association schemes become P-polynomial association schemes. Our results are summarized as follows. Let G = (V, E) be a connected k-regular graph with d+1 distinct eigenvalues k=θ_0 >θ_1 >⋯>θ_d. Since the diameter of G is at most d, we have the Moore bound |V|≤M(k,d)=1+k∑^^<d−1>__<i=0>(k−1)^i. Note that if |V| > M(k, d−1) holds, the diameter of G is equal to d. Let E_i be the orthogonal projection matrix onto the eigenspace corresponding to θ_i. Let ∂(u, v) be the path distance of u, v ∈V.","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":"野崎, 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":"Springer"}]},"item_4_relation_16":{"attribute_name":"関係URI","attribute_value_mlt":[{"subitem_relation_name":[{"subitem_relation_name_text":"http://dx.doi.org/10.1007/s00026-016-0300-6"}],"subitem_relation_type_id":{"subitem_relation_type_id_text":"http://dx.doi.org/10.1007/s00026-016-0300-6","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/10.1007/s00026-016-0300-6","subitem_relation_type_select":"DOI"}}]},"item_4_rights_12":{"attribute_name":"権利","attribute_value_mlt":[{"subitem_rights":"Copyright: Springer International Publishing 2016. The final publication is available at Springer via http://dx.doi.org/10.1007/s00026-016-0300-6."}]},"item_4_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11138548","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"0218-0006","subitem_source_identifier_type":"ISSN"}]},"item_4_text_10":{"attribute_name":"書誌情報","attribute_value_mlt":[{"subitem_text_value":"Annals of Combinatorics. 2016, 20(2), p. 379-386."}]},"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":"野崎, 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":"30","nameIdentifierScheme":"WEKO"},{"nameIdentifier":"80632778","nameIdentifierScheme":"e-Rad","nameIdentifierURI":"https://kaken.nii.ac.jp/ja/search/?qm=80632778"},{"nameIdentifier":"80632778","nameIdentifierScheme":"KAKEN - 研究者検索","nameIdentifierURI":"https://nrid.nii.ac.jp/ja/nrid/1000080632778/"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2017-07-03"}],"displaytype":"detail","filename":"nozakih002.pdf","filesize":[{"value":"100.6 kB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"nozakih002.pdf","url":"https://aue.repo.nii.ac.jp/record/6127/files/nozakih002.pdf"},"version_id":"4f8d68a1-faf9-4b63-b034-bfbecffb3c5c"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Polynomial association scheme","subitem_subject_scheme":"Other"},{"subitem_subject":"Moore bound","subitem_subject_scheme":"Other"},{"subitem_subject":"graph spectrum","subitem_subject_scheme":"Other"},{"subitem_subject":"s-distance set","subitem_subject_scheme":"Other"},{"subitem_subject":"absolute bound","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":"Polynomial properties on large symmetric association schemes","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Polynomial properties on large symmetric association schemes","subitem_title_language":"en"}]},"item_type_id":"4","owner":"3","path":["726"],"pubdate":{"attribute_name":"公開日","attribute_value":"2017-07-03"},"publish_date":"2017-07-03","publish_status":"0","recid":"6127","relation_version_is_last":true,"title":["Polynomial properties on large symmetric association schemes"],"weko_creator_id":"3","weko_shared_id":3},"updated":"2023-06-20T15:57:03.567149+00:00"}