{"id":"https://openalex.org/W2043915914","doi":"https://doi.org/10.1002/jgt.3190050305","title":"A kuratowski theorem for the projective plane","display_name":"A kuratowski theorem for the projective plane","publication_year":1981,"publication_date":"1981-09-01","ids":{"openalex":"https://openalex.org/W2043915914","doi":"https://doi.org/10.1002/jgt.3190050305","mag":"2043915914"},"language":"en","primary_location":{"id":"doi:10.1002/jgt.3190050305","doi":"https://doi.org/10.1002/jgt.3190050305","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190050305","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"},"volume":null,"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://etd.ohiolink.edu/acprod/odb_etd/ws/send_file/send?accession=osu1487093435463451&disposition=inline","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5061516469","display_name":"Dan Archdeacon","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I146416000","display_name":"University of Kansas","ror":"https://ror.org/001tmjg57","country_code":"US","type":"education","lineage":["https://openalex.org/I146416000"]},{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dan Archdeacon","raw_affiliation_strings":["The University of Kansas Lawrence, Kansas 66045","the Ohio State University"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"The University of Kansas Lawrence, Kansas 66045","institution_ids":["https://openalex.org/I146416000"]},{"raw_affiliation_string":"the Ohio State University","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5061516469"],"corresponding_institution_ids":["https://openalex.org/I146416000","https://openalex.org/I52357470"],"apc_list":{"value":4150,"currency":"USD","value_usd":4150},"apc_paid":null,"fwci":1.1401,"has_fulltext":true,"cited_by_count":167,"citation_normalized_percentile":{"value":0.75597061,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":88,"max":99},"biblio":{"volume":"5","issue":"3","first_page":"243","last_page":"246"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9696999788284302,"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":0.9696999788284302,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.007799999788403511,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.004000000189989805,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"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/kuratowski-s-theorem","display_name":"Kuratowski's theorem","score":0.9190000295639038},{"id":"https://openalex.org/keywords/projective-plane","display_name":"projective plane","score":0.984000027179718},{"id":"https://openalex.org/keywords/graph-minors","display_name":"graph minors","score":0.6610000133514404},{"id":"https://openalex.org/keywords/planar-graphs","display_name":"planar graphs","score":0.7720000147819519},{"id":"https://openalex.org/keywords/network-embedding","display_name":"graph embedding","score":0.4729999899864197}],"concepts":[{"id":"https://openalex.org/C39290043","wikidata":"https://www.wikidata.org/wiki/Q1475760","display_name":"Projective plane","level":3,"score":0.7665243148803711},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5873392224311829},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5621377825737},{"id":"https://openalex.org/C37470923","wikidata":"https://www.wikidata.org/wiki/Q633815","display_name":"Real projective plane","level":5,"score":0.514835774898529},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5139879584312439},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4557570517063141},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3968004286289215},{"id":"https://openalex.org/C177846678","wikidata":"https://www.wikidata.org/wiki/Q1501864","display_name":"Projective test","level":2,"score":0.3558385372161865},{"id":"https://openalex.org/C75280867","wikidata":"https://www.wikidata.org/wiki/Q877775","display_name":"Projective space","level":3,"score":0.26761820912361145},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.16205522418022156},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.13645020127296448},{"id":"https://openalex.org/C163434512","wikidata":"https://www.wikidata.org/wiki/Q390741","display_name":"Collineation","level":4,"score":0.05999869108200073},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1002/jgt.3190050305","doi":"https://doi.org/10.1002/jgt.3190050305","is_oa":false,"landing_page_url":"https://doi.org/10.1002/jgt.3190050305","pdf_url":null,"source":{"id":"https://openalex.org/S193368155","display_name":"Journal of Graph Theory","issn_l":"0364-9024","issn":["0364-9024","1097-0118"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","jufo-1","norway-1"],"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Graph Theory","raw_type":"journal-article"},{"id":"pmh:oai:etd.ohiolink.edu:osu1487093435463451","doi":null,"is_oa":true,"landing_page_url":"http://rave.ohiolink.edu/etdc/view?acc_num=osu1487093435463451","pdf_url":"https://etd.ohiolink.edu/acprod/odb_etd/ws/send_file/send?accession=osu1487093435463451&disposition=inline","source":{"id":"https://openalex.org/S4377196344","display_name":"OhioLink ETD Center (Ohio Library and Information Network)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210155183","host_organization_name":"Ohio Library and Information Network","host_organization_lineage":["https://openalex.org/I4210155183"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://rave.ohiolink.edu/etdc/view?acc_num=osu1487093435463451","raw_type":"text"}],"best_oa_location":{"id":"pmh:oai:etd.ohiolink.edu:osu1487093435463451","doi":null,"is_oa":true,"landing_page_url":"http://rave.ohiolink.edu/etdc/view?acc_num=osu1487093435463451","pdf_url":"https://etd.ohiolink.edu/acprod/odb_etd/ws/send_file/send?accession=osu1487093435463451&disposition=inline","source":{"id":"https://openalex.org/S4377196344","display_name":"OhioLink ETD Center (Ohio Library and Information Network)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I4210155183","host_organization_name":"Ohio Library and Information Network","host_organization_lineage":["https://openalex.org/I4210155183"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://rave.ohiolink.edu/etdc/view?acc_num=osu1487093435463451","raw_type":"text"},"sustainable_development_goals":[],"sustainable_development_goals_aurora":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2043915914.pdf","grobid_xml":"https://content.openalex.org/works/W2043915914.grobid-xml"},"referenced_works_count":6,"referenced_works":["https://openalex.org/W174566906","https://openalex.org/W1979731871","https://openalex.org/W1991077879","https://openalex.org/W2046128491","https://openalex.org/W2083108548","https://openalex.org/W3084987570"],"related_works":["https://openalex.org/W2558849366","https://openalex.org/W2952320063","https://openalex.org/W2013686093","https://openalex.org/W2145668739","https://openalex.org/W2038968071","https://openalex.org/W2476584082","https://openalex.org/W2047714933","https://openalex.org/W2040976798","https://openalex.org/W2554495525","https://openalex.org/W4300944654"],"abstract_inverted_index":{"s":[0],"j":[1],"o":[2],"i":[3],"n":[4],"t":[5],"From":[6],"a":[7],"k":[8],"_":[9],".........":[10]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":7},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":5},{"year":2016,"cited_by_count":6},{"year":2015,"cited_by_count":7},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":6}],"updated_date":"2026-09-29T14:09:16.559479","created_date":"2025-10-10T00:00:00"}