{"_buckets": {"deposit": "895f6206-76b1-4d39-bbdb-d49a06b51bb4"}, "_deposit": {"id": "34623", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "34623"}, "status": "published"}, "_oai": {"id": "oai:teapot.lib.ocha.ac.jp:00034623"}, "item_11_biblio_info_8": {"attribute_name": "\u66f8\u8a8c\u60c5\u5831", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2007-01", "bibliographicIssueDateType": "Issued"}, "bibliographicIssueNumber": "2", "bibliographicPageEnd": "55", "bibliographicPageStart": "35", "bibliographicVolumeNumber": "57", "bibliographic_titles": [{"bibliographic_title": "\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b78\u81ea\u7136\u79d1\u5b78\u5831\u544a"}]}]}, "item_11_description_17": {"attribute_name": "\u30d5\u30a9\u30fc\u30de\u30c3\u30c8", "attribute_value_mlt": [{"subitem_description": "application/pdf", "subitem_description_type": "Other"}]}, "item_11_description_46": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"subitem_description": "\u7d00\u8981\u8ad6\u6587", "subitem_description_type": "Other"}]}, "item_11_description_7": {"attribute_name": "\u5185\u5bb9\u8a18\u8ff0", "attribute_value_mlt": [{"subitem_description": "For a non-directed graph G composed of vertices and edges the topological index Z_G has been defined by the present author as the total sum of perfect and imperfect matchings. The Z_G values of several typical series of graphs have been known to be equal to Fibonacci, Lucas, and Pell numbers. In this paper the solutions of Pell equation x^2-Dy^2=\u00b1N for special values of D with N=1 and 4 are shown to give these series of numbers, which means that this is the first graphical or graph-theoretical interpretation of the solutions of Pell equation. In this analysis the Chebyshev polynomials of the first and second kinds, T_n and U_n, together with their modified version, C_n and S_n, are involved. For any D with N=1 and 4, there were found certain series of graphs whose Z_G values just represent the solutions of Pell equation.", "subitem_description_type": "Other"}]}, "item_11_full_name_2": {"attribute_name": "\u8457\u8005(\u30e8\u30df)", "attribute_value_mlt": [{"nameIdentifiers": [{"nameIdentifier": "70917", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "\u30db\u30bd\u30e4, \u30cf\u30eb\u30aa"}]}]}, "item_11_publisher_36": {"attribute_name": "\u51fa\u7248\u8005", "attribute_value_mlt": [{"subitem_publisher": "\u304a\u8336\u306e\u6c34\u5973\u5b50\u5927\u5b66"}]}, "item_11_source_id_11": {"attribute_name": "\u66f8\u8a8c\u30ec\u30b3\u30fc\u30c9ID", "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": "\u65e5\u672c\u5341\u9032\u5206\u985e\u6cd5", "attribute_value_mlt": [{"subitem_subject": "400", "subitem_subject_scheme": "NDC"}]}, "item_11_text_18": {"attribute_name": "\u5f62\u614b", "attribute_value_mlt": [{"subitem_text_value": "857405 bytes"}]}, "item_11_text_47": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7\u30fb\u30ed\u30fc\u30ab\u30eb", "attribute_value_mlt": [{"subitem_text_value": "\u7d00\u8981\u8ad6\u6587"}]}, "item_11_text_48": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7\u30fbNII", "attribute_value_mlt": [{"subitem_text_value": "Departmental Bulletin Paper"}]}, "item_11_text_49": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7\u30fbDCMI", "attribute_value_mlt": [{"subitem_text_value": "text"}]}, "item_11_text_50": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7\u30fb\u30ed\u30fc\u30ab\u30eb\u8868\u793a\u30b3\u30fc\u30c9", "attribute_value_mlt": [{"subitem_text_value": "03"}]}, "item_creator": {"attribute_name": "\u8457\u8005", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Hosoya, Haruo"}], "nameIdentifiers": [{"nameIdentifier": "70916", "nameIdentifierScheme": "WEKO"}]}]}, "item_files": {"attribute_name": "\u30d5\u30a1\u30a4\u30eb\u60c5\u5831", "attribute_type": "file", "attribute_value_mlt": [{"accessrole": "open_date", "date": [{"dateType": "Available", "dateValue": "2018-04-19"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "KJ00004830818.pdf", "filesize": [{"value": "857.4 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 857400.0, "url": {"label": "KJ00004830818.pdf", "url": "https://teapot.lib.ocha.ac.jp/record/34623/files/KJ00004830818.pdf"}, "version_id": "d89a74b4-2fbb-48fe-815f-49b301d5eeb5"}]}, "item_language": {"attribute_name": "\u8a00\u8a9e", "attribute_value_mlt": [{"subitem_language": "eng"}]}, "item_resource_type": {"attribute_name": "\u8cc7\u6e90\u30bf\u30a4\u30d7", "attribute_value_mlt": [{"resourcetype": "departmental bulletin paper", "resourceuri": "http://purl.org/coar/resource_type/c_6501"}]}, "item_title": "Pell Equation. III. Graph-theoretical meaning of the solutions of the Pell equation through topological index Z", "item_titles": {"attribute_name": "\u30bf\u30a4\u30c8\u30eb", "attribute_value_mlt": [{"subitem_title": "Pell Equation. III. Graph-theoretical meaning of the solutions of the Pell equation through topological index Z"}]}, "item_type_id": "11", "owner": "1", "path": ["347/359/684"], "permalink_uri": "http://hdl.handle.net/10083/2404", "pubdate": {"attribute_name": "\u516c\u958b\u65e5", "attribute_name_i18n": "\u516c\u958b\u65e5", "attribute_value": "2008-04-30"}, "publish_date": "2008-04-30", "publish_status": "0", "recid": "34623", "relation": {}, "relation_version_is_last": true, "title": ["Pell Equation. III. Graph-theoretical meaning of the solutions of the Pell equation through topological index Z"], "weko_shared_id": null}