{"id":"https://openalex.org/W2809610674","doi":"https://doi.org/10.1007/s00373-018-1909-5","title":"Generating Even Triangulations on the Klein Bottle","display_name":"Generating Even Triangulations on the Klein Bottle","publication_year":2018,"publication_date":"2018-06-18","ids":{"openalex":"https://openalex.org/W2809610674","doi":"https://doi.org/10.1007/s00373-018-1909-5","mag":"2809610674"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-018-1909-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-018-1909-5","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5002417561","display_name":"Yoshihiro Asayama","orcid":"https://orcid.org/0000-0001-6539-8994"},"institutions":[{"id":"https://openalex.org/I180203408","display_name":"Yokohama National University","ror":"https://ror.org/03zyp6p76","country_code":"JP","type":"education","lineage":["https://openalex.org/I180203408"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Yoshihiro Asayama","raw_affiliation_strings":["Graduate School of Environment and Information Sciences, Yokohama National University, 79-1 Tokiwadai, Hodogaya-ku, Yokohama, 240-8501, Japan"],"raw_orcid":"https://orcid.org/0000-0001-6539-8994","affiliations":[{"raw_affiliation_string":"Graduate School of Environment and Information Sciences, Yokohama National University, 79-1 Tokiwadai, Hodogaya-ku, Yokohama, 240-8501, Japan","institution_ids":["https://openalex.org/I180203408"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037172032","display_name":"Naoki Matsumoto","orcid":"https://orcid.org/0000-0003-2861-7152"},"institutions":[{"id":"https://openalex.org/I6030618","display_name":"Seikei University","ror":"https://ror.org/03ptaj492","country_code":"JP","type":"education","lineage":["https://openalex.org/I6030618"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Naoki Matsumoto","raw_affiliation_strings":["Department of Computer and Information Science, Faculty of Science and Technology, Seikei University, 3-3-1 Kichijoji-Kitamachi, Musashino-shi, Tokyo, 180-8633, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer and Information Science, Faculty of Science and Technology, Seikei University, 3-3-1 Kichijoji-Kitamachi, Musashino-shi, Tokyo, 180-8633, Japan","institution_ids":["https://openalex.org/I6030618"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024277827","display_name":"Atsuhiro Nakamoto","orcid":"https://orcid.org/0000-0003-1023-4831"},"institutions":[{"id":"https://openalex.org/I180203408","display_name":"Yokohama National University","ror":"https://ror.org/03zyp6p76","country_code":"JP","type":"education","lineage":["https://openalex.org/I180203408"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Atsuhiro Nakamoto","raw_affiliation_strings":["Department of Mathematics, Yokohama National University, 79-1 Tokiwadai, Hodogaya-ku, Yokohama, 240-8501, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Yokohama National University, 79-1 Tokiwadai, Hodogaya-ku, Yokohama, 240-8501, Japan","institution_ids":["https://openalex.org/I180203408"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030936322","display_name":"Shota Ogano","orcid":null},"institutions":[{"id":"https://openalex.org/I180203408","display_name":"Yokohama National University","ror":"https://ror.org/03zyp6p76","country_code":"JP","type":"education","lineage":["https://openalex.org/I180203408"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Shota Ogano","raw_affiliation_strings":["Graduate School of Environment and Information Sciences, Yokohama National University, 79-1 Tokiwadai, Hodogaya-ku, Yokohama, 240-8501, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Environment and Information Sciences, Yokohama National University, 79-1 Tokiwadai, Hodogaya-ku, Yokohama, 240-8501, Japan","institution_ids":["https://openalex.org/I180203408"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5002417561"],"corresponding_institution_ids":["https://openalex.org/I180203408"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":null,"fwci":0.6039,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.76762861,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"34","issue":"4","first_page":"727","last_page":"757"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9997000098228455,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9984999895095825,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10304","display_name":"Geometric and Algebraic Topology","score":0.9976000189781189,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/klein-bottle","display_name":"Klein bottle","score":0.976719856262207},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7923960089683533},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7386277914047241},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.6604763269424438},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.5508909821510315},{"id":"https://openalex.org/keywords/point-set-triangulation","display_name":"Point set triangulation","score":0.5184192657470703},{"id":"https://openalex.org/keywords/projective-plane","display_name":"Projective plane","score":0.5160645842552185},{"id":"https://openalex.org/keywords/surface","display_name":"Surface (topology)","score":0.4229356646537781},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3729475736618042},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.24079987406730652},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.14237666130065918}],"concepts":[{"id":"https://openalex.org/C192349906","wikidata":"https://www.wikidata.org/wiki/Q23638","display_name":"Klein bottle","level":3,"score":0.976719856262207},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7923960089683533},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7386277914047241},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.6604763269424438},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.5508909821510315},{"id":"https://openalex.org/C167117609","wikidata":"https://www.wikidata.org/wiki/Q17078161","display_name":"Point set triangulation","level":3,"score":0.5184192657470703},{"id":"https://openalex.org/C39290043","wikidata":"https://www.wikidata.org/wiki/Q1475760","display_name":"Projective plane","level":3,"score":0.5160645842552185},{"id":"https://openalex.org/C2776799497","wikidata":"https://www.wikidata.org/wiki/Q484298","display_name":"Surface (topology)","level":2,"score":0.4229356646537781},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3729475736618042},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.24079987406730652},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.14237666130065918},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-018-1909-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-018-1909-5","pdf_url":null,"source":{"id":"https://openalex.org/S186126824","display_name":"Graphs and Combinatorics","issn_l":"0911-0119","issn":["0911-0119","1435-5914"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Graphs and Combinatorics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.5099999904632568,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[{"id":"https://openalex.org/G5777766837","display_name":"Equivalence of plane geometric graphs by transformations and their related topics","funder_award_id":"18K03390","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W594463866","https://openalex.org/W1509779372","https://openalex.org/W1602709408","https://openalex.org/W1626618407","https://openalex.org/W1896134560","https://openalex.org/W1964155874","https://openalex.org/W1967082722","https://openalex.org/W1972315252","https://openalex.org/W1978199051","https://openalex.org/W1979228678","https://openalex.org/W1994211191","https://openalex.org/W1995632106","https://openalex.org/W2018810952","https://openalex.org/W2033820728","https://openalex.org/W2038280788","https://openalex.org/W2041714893","https://openalex.org/W2047299499","https://openalex.org/W2079428457","https://openalex.org/W2080450995","https://openalex.org/W2081151465","https://openalex.org/W2083568711","https://openalex.org/W2085218880","https://openalex.org/W2090876161","https://openalex.org/W2130769938","https://openalex.org/W2144158529","https://openalex.org/W2149202397","https://openalex.org/W2333253201","https://openalex.org/W2335389215","https://openalex.org/W2574604220","https://openalex.org/W2725117076","https://openalex.org/W4237223244","https://openalex.org/W4250857673","https://openalex.org/W4319589071"],"related_works":["https://openalex.org/W2786725402","https://openalex.org/W3183222864","https://openalex.org/W2374493932","https://openalex.org/W2952554563","https://openalex.org/W2755801538","https://openalex.org/W2369500278","https://openalex.org/W4299805552","https://openalex.org/W2110610374","https://openalex.org/W3104321287","https://openalex.org/W2006208462"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-07-23T08:03:31.855105","created_date":"2025-10-10T00:00:00"}
