{"created":"2022-06-23T07:21:37.954138+00:00","id":2005207,"links":{},"metadata":{"_buckets":{"deposit":"c2dbffd4-7ac9-4738-b99a-b9832c08f954"},"_deposit":{"id":"2005207","owners":[1],"pid":{"revision_id":0,"type":"depid","value":"2005207"},"status":"published"},"_oai":{"id":"oai:repository.dl.itc.u-tokyo.ac.jp:02005207","sets":["312:6865:1655967293406:1655967376130","9:504:6868:1655967151838:1655967215050"]},"author_link":[],"item_4_biblio_info_7":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2020-11-06","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"1","bibliographicPageEnd":"156","bibliographicPageStart":"109","bibliographicVolumeNumber":"27","bibliographic_titles":[{"bibliographic_title":"Journal of Mathematical Sciences The University of Tokyo","bibliographic_titleLang":"en"}]}]},"item_4_description_5":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Let $\\Gamma$ be a chart, and we denote by $\\Gamma_m$ the union of all the edges of label $m$. A chart $\\Gamma$ is of type $(m;2,3,2)$ if $w(\\Gamma)=7$, $w(\\Gamma_m\\cap\\Gamma_{m+1})=2$, $w(\\Gamma_{m+1}\\cap\\Gamma_{m+2})=3$, and $w(\\Gamma_{m+2}\\cap\\Gamma_{m+3})=2$ where $w(G)$ is the number of white vertices in $G$. In this paper, we prove that if there is a minimal chart $\\Gamma$ of type $(m;2,3,2)$, then each of $\\Gamma_{m+1}$ and $\\Gamma_{m+2}$ contains one of three kinds of graphs. In the next paper, we shall prove that there is no minimal chart of type $(m;2,3,2)$. ","subitem_description_language":"en","subitem_description_type":"Abstract"}]},"item_4_publisher_20":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"Graduate School of Mathematical Sciences, The University of Tokyo","subitem_publisher_language":"en"}]},"item_4_source_id_10":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AA11021653","subitem_source_identifier_type":"NCID"}]},"item_4_source_id_8":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"13405705","subitem_source_identifier_type":"ISSN"}]},"item_4_text_17":{"attribute_name":"Mathmatical Subject Classification","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"57Q45(MSC2010)"},{"subitem_text_language":"en","subitem_text_value":"57Q35(MSC2010)"}]},"item_4_text_33":{"attribute_name":"原稿受領日","attribute_value_mlt":[{"subitem_text_value":"2020-04-07"}]},"item_4_text_4":{"attribute_name":"著者所属","attribute_value_mlt":[{"subitem_text_language":"en","subitem_text_value":"Tokai University"},{"subitem_text_language":"en","subitem_text_value":"Department of Mathematics, Tokai University"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"Tokai University","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Nagase , Teruo","creatorNameLang":"en"}]},{"creatorAffiliations":[{"affiliationNames":[{"affiliationName":"Tokai University","affiliationNameLang":"en"}]}],"creatorNames":[{"creatorName":"Shima, Akiko","creatorNameLang":"en"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"date":[{"dateType":"Available","dateValue":"2022-06-23"}],"displaytype":"detail","filename":"jms270106.pdf","filesize":[{"value":"677.8 KB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"objectType":"fulltext","url":"https://repository.dl.itc.u-tokyo.ac.jp/record/2005207/files/jms270106.pdf"},"version_id":"48b18fdb-a3f6-4f83-a6f6-213ab2e5c9eb"}]},"item_keyword":{"attribute_name":"キーワード","attribute_value_mlt":[{"subitem_subject":"Surface link","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"chart","subitem_subject_language":"en","subitem_subject_scheme":"Other"},{"subitem_subject":"white vertex","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":"departmental bulletin paper","resourceuri":"http://purl.org/coar/resource_type/c_6501"}]},"item_title":"Properties of Minimal Charts and their Applications VI : The Graph {\\Large$\\boldsymbol{\\Gamma_{m+1}}$} in a Chart {\\Large$\\boldsymbol{\\Gamma}$} of Type {\\Large$\\boldsymbol{(m;2,3,2)}$","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Properties of Minimal Charts and their Applications VI : The Graph {\\Large$\\boldsymbol{\\Gamma_{m+1}}$} in a Chart {\\Large$\\boldsymbol{\\Gamma}$} of Type {\\Large$\\boldsymbol{(m;2,3,2)}$","subitem_title_language":"en"}]},"item_type_id":"4","owner":"1","path":["1655967376130","1655967215050"],"pubdate":{"attribute_name":"PubDate","attribute_value":"2022-06-23"},"publish_date":"2022-06-23","publish_status":"0","recid":"2005207","relation_version_is_last":true,"title":["Properties of Minimal Charts and their Applications VI : The Graph {\\Large$\\boldsymbol{\\Gamma_{m+1}}$} in a Chart {\\Large$\\boldsymbol{\\Gamma}$} of Type {\\Large$\\boldsymbol{(m;2,3,2)}$"],"weko_creator_id":"1","weko_shared_id":-1},"updated":"2022-12-19T05:36:49.316476+00:00"}