{"id":"https://openalex.org/W1974494866","doi":"https://doi.org/10.1007/s00373-015-1568-8","title":"Relationship Among Triangulations, Quadrangulations and Optimal $$1$$ 1 -Planar Graphs","display_name":"Relationship Among Triangulations, Quadrangulations and Optimal $$1$$ 1 -Planar Graphs","publication_year":2015,"publication_date":"2015-04-04","ids":{"openalex":"https://openalex.org/W1974494866","doi":"https://doi.org/10.1007/s00373-015-1568-8","mag":"1974494866"},"language":"en","primary_location":{"id":"doi:10.1007/s00373-015-1568-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-015-1568-8","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/A5006108186","display_name":"Kenta Noguchi","orcid":"https://orcid.org/0000-0002-7790-0782"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Kenta Noguchi","raw_affiliation_strings":["Department of Mathematics, Keio University, 3-14-1, Hiyoshi, Kohoku-ku, Yokohama, 223-8522, Japan","Department of Mathematics, Keio University, Yokohama, Japan 223-8522#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Keio University, 3-14-1, Hiyoshi, Kohoku-ku, Yokohama, 223-8522, Japan","institution_ids":["https://openalex.org/I203951103"]},{"raw_affiliation_string":"Department of Mathematics, Keio University, Yokohama, Japan 223-8522#TAB#","institution_ids":["https://openalex.org/I203951103"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5030137541","display_name":"Yusuke Suzuki","orcid":"https://orcid.org/0000-0001-6940-9777"},"institutions":[{"id":"https://openalex.org/I71395657","display_name":"Niigata University","ror":"https://ror.org/04ww21r56","country_code":"JP","type":"education","lineage":["https://openalex.org/I71395657"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Yusuke Suzuki","raw_affiliation_strings":["Department of Mathematics, Niigata University, 2-8050, ikarashi, Nishi-Ku, Niigata, 950-2181, Japan","Department of Mathematics, Niigata University, Niigata, Japan 950-2181#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Niigata University, 2-8050, ikarashi, Nishi-Ku, Niigata, 950-2181, Japan","institution_ids":["https://openalex.org/I71395657"]},{"raw_affiliation_string":"Department of Mathematics, Niigata University, Niigata, Japan 950-2181#TAB#","institution_ids":["https://openalex.org/I71395657"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5006108186"],"corresponding_institution_ids":["https://openalex.org/I203951103"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.3638,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.64645761,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"31","issue":"6","first_page":"1965","last_page":"1972"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998999834060669,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9990000128746033,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9990000128746033,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8242400288581848},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8122114539146423},{"id":"https://openalex.org/keywords/triangulation","display_name":"Triangulation","score":0.7507835626602173},{"id":"https://openalex.org/keywords/diagonal","display_name":"Diagonal","score":0.6884862184524536},{"id":"https://openalex.org/keywords/planar-graph","display_name":"Planar graph","score":0.683134913444519},{"id":"https://openalex.org/keywords/point-set-triangulation","display_name":"Point set triangulation","score":0.578318178653717},{"id":"https://openalex.org/keywords/planar","display_name":"Planar","score":0.513381838798523},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4847583472728729},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1622459590435028},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0988210141658783},{"id":"https://openalex.org/keywords/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.08997374773025513}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8242400288581848},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8122114539146423},{"id":"https://openalex.org/C135981907","wikidata":"https://www.wikidata.org/wiki/Q188056","display_name":"Triangulation","level":2,"score":0.7507835626602173},{"id":"https://openalex.org/C130367717","wikidata":"https://www.wikidata.org/wiki/Q189791","display_name":"Diagonal","level":2,"score":0.6884862184524536},{"id":"https://openalex.org/C101837359","wikidata":"https://www.wikidata.org/wiki/Q547823","display_name":"Planar graph","level":3,"score":0.683134913444519},{"id":"https://openalex.org/C167117609","wikidata":"https://www.wikidata.org/wiki/Q17078161","display_name":"Point set triangulation","level":3,"score":0.578318178653717},{"id":"https://openalex.org/C134786449","wikidata":"https://www.wikidata.org/wiki/Q3391255","display_name":"Planar","level":2,"score":0.513381838798523},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4847583472728729},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1622459590435028},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0988210141658783},{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.08997374773025513},{"id":"https://openalex.org/C121684516","wikidata":"https://www.wikidata.org/wiki/Q7600677","display_name":"Computer graphics (images)","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00373-015-1568-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00373-015-1568-8","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1988180925","https://openalex.org/W2001161770","https://openalex.org/W2045730620","https://openalex.org/W2045737295","https://openalex.org/W2050065904","https://openalex.org/W2078930409","https://openalex.org/W2079157536","https://openalex.org/W2083421046","https://openalex.org/W2238023379","https://openalex.org/W2335389215"],"related_works":["https://openalex.org/W2374493932","https://openalex.org/W2952554563","https://openalex.org/W2369500278","https://openalex.org/W2110610374","https://openalex.org/W1985165973","https://openalex.org/W3216105633","https://openalex.org/W2951263013","https://openalex.org/W2990956612","https://openalex.org/W4298281251","https://openalex.org/W2779999567"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}