{"_buckets": {"deposit": "1de23872-1c34-4a21-b27b-3072d6f7763b"}, "_deposit": {"id": "5358", "owners": [], "pid": {"revision_id": 0, "type": "depid", "value": "5358"}, "status": "published"}, "_oai": {"id": "oai:niigata-u.repo.nii.ac.jp:00005358", "sets": ["455", "564"]}, "item_6_alternative_title_1": {"attribute_name": "その他のタイトル", "attribute_value_mlt": [{"subitem_alternative_title": "曲率が下に有界な多角形曲面のシュタイナー木の比較定理"}]}, "item_6_biblio_info_6": {"attribute_name": "書誌情報", "attribute_value_mlt": [{"bibliographicIssueDates": {"bibliographicIssueDate": "2013-03-25", "bibliographicIssueDateType": "Issued"}, "bibliographicPageEnd": "48", "bibliographicPageStart": "1", "bibliographic_titles": [{}]}]}, "item_6_date_granted_51": {"attribute_name": "学位授与年月日", "attribute_value_mlt": [{"subitem_dategranted": "2013-03-25"}]}, "item_6_degree_grantor_49": {"attribute_name": "学位授与機関", "attribute_value_mlt": [{"subitem_degreegrantor": [{"subitem_degreegrantor_name": "新潟大学"}]}]}, "item_6_degree_name_48": {"attribute_name": "学位名", "attribute_value_mlt": [{"subitem_degreename": "博士（理学）"}]}, "item_6_description_4": {"attribute_name": "抄録", "attribute_value_mlt": [{"subitem_description": "Let D be a compact polygonal Alexandrov surface with curvature bounded below by k. We study the minimum network problem of interconnecting the vertices of the boundary polygon ∂D in D. We construct a smooth polygonal surface D^^~ with constant curvature k such that the length of its minimum spanning trees is equal to that of D and the length of its Steiner minimum trees is less than or equal to D\u0027s. As an application we show a comparison theorem of Steiner ratios for polygonal surfaces.", "subitem_description_type": "Abstract"}]}, "item_6_description_5": {"attribute_name": "内容記述", "attribute_value_mlt": [{"subitem_description": "学位の種類: 博士（理学）. 報告番号: 甲第3776号. 学位記番号: 新大院博（理）甲第376号. 学位授与年月日: 平成25年3月25日", "subitem_description_type": "Other"}]}, "item_6_description_53": {"attribute_name": "学位記番号", "attribute_value_mlt": [{"subitem_description": "新大院博（理）甲第376号", "subitem_description_type": "Other"}]}, "item_6_dissertation_number_52": {"attribute_name": "学位授与番号", "attribute_value_mlt": [{"subitem_dissertationnumber": "13101A3776"}]}, "item_6_full_name_3": {"attribute_name": "著者別名", "attribute_value_mlt": [{"nameIdentifiers": [{"nameIdentifier": "50146", "nameIdentifierScheme": "WEKO"}], "names": [{"name": "納谷, 伸太郎"}]}]}, "item_6_publisher_7": {"attribute_name": "出版者", "attribute_value_mlt": [{"subitem_publisher": "新潟大学"}]}, "item_6_select_19": {"attribute_name": "著者版フラグ", "attribute_value_mlt": [{"subitem_select_item": "ETD"}]}, "item_creator": {"attribute_name": "著者", "attribute_type": "creator", "attribute_value_mlt": [{"creatorNames": [{"creatorName": "Naya, Shintaro"}], "nameIdentifiers": [{"nameIdentifier": "50145", "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": "2019-08-05"}], "displaytype": "detail", "download_preview_message": "", "file_order": 0, "filename": "D_S_R_K376.pdf", "filesize": [{"value": "377.8 kB"}], "format": "application/pdf", "future_date_message": "", "is_thumbnail": false, "licensetype": "license_free", "mimetype": "application/pdf", "size": 377800.0, "url": {"label": "本文", "url": "https://niigata-u.repo.nii.ac.jp/record/5358/files/D_S_R_K376.pdf"}, "version_id": "ee95e219-b9e2-419e-b258-f2ed7f3a15dd"}]}, "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": "thesis", "resourceuri": "http://purl.org/coar/resource_type/c_46ec"}]}, "item_title": "A comparison theorem for Steiner minimum trees in polygonal surfaces with curvature bounded below", "item_titles": {"attribute_name": "タイトル", "attribute_value_mlt": [{"subitem_title": "A comparison theorem for Steiner minimum trees in polygonal surfaces with curvature bounded below"}, {"subitem_title": "A comparison theorem for Steiner minimum trees in polygonal surfaces with curvature bounded below", "subitem_title_language": "en"}]}, "item_type_id": "6", "owner": "1", "path": ["455", "564"], "permalink_uri": "http://hdl.handle.net/10191/24082", "pubdate": {"attribute_name": "公開日", "attribute_value": "2013-11-20"}, "publish_date": "2013-11-20", "publish_status": "0", "recid": "5358", "relation": {}, "relation_version_is_last": true, "title": ["A comparison theorem for Steiner minimum trees in polygonal surfaces with curvature bounded below"], "weko_shared_id": 2}