{"created":"2021-03-01T06:39:53.354591+00:00","id":34593,"links":{},"metadata":{"_buckets":{"deposit":"e275632a-980f-4b84-ac00-6fc6d85168f1"},"_deposit":{"id":"34593","owners":[],"pid":{"revision_id":0,"type":"depid","value":"34593"},"status":"published"},"_oai":{"id":"oai:teapot.lib.ocha.ac.jp:00034593","sets":["347:359:692"]},"item_11_biblio_info_8":{"attribute_name":"書誌情報","attribute_value_mlt":[{"bibliographicIssueDates":{"bibliographicIssueDate":"2011-03","bibliographicIssueDateType":"Issued"},"bibliographicIssueNumber":"2","bibliographicPageEnd":"30","bibliographicPageStart":"11","bibliographicVolumeNumber":"61","bibliographic_titles":[{"bibliographic_title":"お茶の水女子大學自然科學報告"}]}]},"item_11_description_17":{"attribute_name":"フォーマット","attribute_value_mlt":[{"subitem_description":"application/pdf","subitem_description_type":"Other"}]},"item_11_description_46":{"attribute_name":"資源タイプ","attribute_value_mlt":[{"subitem_description":"紀要論文","subitem_description_type":"Other"}]},"item_11_description_6":{"attribute_name":"抄録","attribute_value_mlt":[{"subitem_description":"Positive integer solutions of x2+y2+z2=3xyz are called Markoff numbers. A number of novel features of Markoff numbers were found from the graph-theoretical standpoint. Namely, for a given Markoff number there exist a pair of graphs, caterpillar and linearly growing polyomino, whose topological index and perfect matching number are, respectively, equal to that number. Efficient stepwise algorithms and recursion formulas are found for enumerating these two characteristic quantities of these special graphs, which have either mirror or rotational symmetry. It is conjectured that any Markoff number can be expressed as the sum of squares of a pair of co-prime integers, From these new findings dramatic advance and application will be expected in the mathematics of Markoff numbers.","subitem_description_type":"Abstract"}]},"item_11_publisher_36":{"attribute_name":"出版者","attribute_value_mlt":[{"subitem_publisher":"お茶の水女子大学"}]},"item_11_select_19":{"attribute_name":"著者版フラグ","attribute_value_mlt":[{"subitem_select_item":"publisher"}]},"item_11_source_id_11":{"attribute_name":"書誌レコードID","attribute_value_mlt":[{"subitem_source_identifier":"AN00033958","subitem_source_identifier_type":"NCID"}]},"item_11_source_id_9":{"attribute_name":"ISSN","attribute_value_mlt":[{"subitem_source_identifier":"00298190","subitem_source_identifier_type":"ISSN"}]},"item_11_subject_20":{"attribute_name":"日本十進分類法","attribute_value_mlt":[{"subitem_subject":"400","subitem_subject_scheme":"NDC"}]},"item_11_text_18":{"attribute_name":"形態","attribute_value_mlt":[{"subitem_text_value":"7954916 bytes"}]},"item_11_text_47":{"attribute_name":"資源タイプ・ローカル","attribute_value_mlt":[{"subitem_text_value":"紀要論文"}]},"item_11_text_48":{"attribute_name":"資源タイプ・NII","attribute_value_mlt":[{"subitem_text_value":"Departmental Bulletin Paper"}]},"item_11_text_49":{"attribute_name":"資源タイプ・DCMI","attribute_value_mlt":[{"subitem_text_value":"text"}]},"item_11_text_50":{"attribute_name":"資源タイプ・ローカル表示コード","attribute_value_mlt":[{"subitem_text_value":"03"}]},"item_creator":{"attribute_name":"著者","attribute_type":"creator","attribute_value_mlt":[{"creatorNames":[{"creatorName":"Hosoya, Haruo"}],"nameIdentifiers":[{"nameIdentifier":"71035","nameIdentifierScheme":"WEKO"}]}]},"item_files":{"attribute_name":"ファイル情報","attribute_type":"file","attribute_value_mlt":[{"accessrole":"open_date","date":[{"dateType":"Available","dateValue":"2018-04-19"}],"displaytype":"detail","filename":"01_11-30.pdf","filesize":[{"value":"8.0 MB"}],"format":"application/pdf","licensetype":"license_note","mimetype":"application/pdf","url":{"label":"01_11-30.pdf","url":"https://teapot.lib.ocha.ac.jp/record/34593/files/01_11-30.pdf"},"version_id":"552cdadb-de0d-4668-a3a3-b2e05d8dcddb"}]},"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":"Graph-Theoretical Properties of Markoff Numbers. Topological indices of Symmetrical BroComb Graphs and Perfect Matching Numbers of Symmetrical StepOmino Graphs.","item_titles":{"attribute_name":"タイトル","attribute_value_mlt":[{"subitem_title":"Graph-Theoretical Properties of Markoff Numbers. Topological indices of Symmetrical BroComb Graphs and Perfect Matching Numbers of Symmetrical StepOmino Graphs."}]},"item_type_id":"11","owner":"1","path":["692"],"pubdate":{"attribute_name":"公開日","attribute_value":"2011-03-10"},"publish_date":"2011-03-10","publish_status":"0","recid":"34593","relation_version_is_last":true,"title":["Graph-Theoretical Properties of Markoff Numbers. Topological indices of Symmetrical BroComb Graphs and Perfect Matching Numbers of Symmetrical StepOmino Graphs."],"weko_creator_id":"1","weko_shared_id":null},"updated":"2022-12-12T05:38:52.515164+00:00"}