{"id":"https://openalex.org/W2004945653","doi":"https://doi.org/10.1016/s0012-365x(00)00078-9","title":"On graph planarity and semi-duality","display_name":"On graph planarity and semi-duality","publication_year":2001,"publication_date":"2001-03-01","ids":{"openalex":"https://openalex.org/W2004945653","doi":"https://doi.org/10.1016/s0012-365x(00)00078-9","mag":"2004945653"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(00)00078-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(00)00078-9","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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/A5044955882","display_name":"Alexander Kelmans","orcid":null},"institutions":[{"id":"https://openalex.org/I200399037","display_name":"University of Puerto Rico System","ror":"https://ror.org/02yg0nm07","country_code":"PR","type":"education","lineage":["https://openalex.org/I200399037"]},{"id":"https://openalex.org/I102322142","display_name":"Rutgers, The State University of New Jersey","ror":"https://ror.org/05vt9qd57","country_code":"US","type":"education","lineage":["https://openalex.org/I102322142"]}],"countries":["PR","US"],"is_corresponding":true,"raw_author_name":"Alexander Kelmans","raw_affiliation_strings":["Department of Mathematics, University of Puerto Rico, Box 23355, San Juan 00931-3355, Puerto Rico","RUTCOR, Rutgers University, New Brunswick, NJ 08903, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of Puerto Rico, Box 23355, San Juan 00931-3355, Puerto Rico","institution_ids":["https://openalex.org/I200399037"]},{"raw_affiliation_string":"RUTCOR, Rutgers University, New Brunswick, NJ 08903, USA","institution_ids":["https://openalex.org/I102322142"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5044955882"],"corresponding_institution_ids":["https://openalex.org/I102322142","https://openalex.org/I200399037"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.13690078,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"230","issue":"1-3","first_page":"149","last_page":"166"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9889000058174133,"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":0.9889000058174133,"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/planarity-testing","display_name":"Planarity testing","score":0.8775017261505127},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8277018666267395},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6108232736587524},{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.5193485021591187},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.49806642532348633},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.48609495162963867}],"concepts":[{"id":"https://openalex.org/C68260962","wikidata":"https://www.wikidata.org/wiki/Q7200967","display_name":"Planarity testing","level":2,"score":0.8775017261505127},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8277018666267395},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6108232736587524},{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.5193485021591187},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.49806642532348633},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.48609495162963867}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0012-365x(00)00078-9","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(00)00078-9","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2982185603","https://openalex.org/W4288090301","https://openalex.org/W3003614666","https://openalex.org/W2164938550","https://openalex.org/W1816979946","https://openalex.org/W1598502370","https://openalex.org/W4297455769","https://openalex.org/W2963573247","https://openalex.org/W2074746726","https://openalex.org/W1587843220"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}