{"id":"https://openalex.org/W2067489791","doi":"https://doi.org/10.1016/0168-0072(89)90029-8","title":"On the complexity of finding the chromatic number of a recursive graph I: the bounded case","display_name":"On the complexity of finding the chromatic number of a recursive graph I: the bounded case","publication_year":1989,"publication_date":"1989-11-01","ids":{"openalex":"https://openalex.org/W2067489791","doi":"https://doi.org/10.1016/0168-0072(89)90029-8","mag":"2067489791"},"language":"en","primary_location":{"id":"doi:10.1016/0168-0072(89)90029-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0168-0072(89)90029-8","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"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":"Annals of Pure and Applied Logic","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/A5078715930","display_name":"Richard Beigel","orcid":null},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Richard Beigel","raw_affiliation_strings":["Department of Computer Science, The Johns Hopkins University, Balitmore, MD 21218, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The Johns Hopkins University, Balitmore, MD 21218, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5089274175","display_name":"William Gasarch","orcid":"https://orcid.org/0000-0003-3698-5991"},"institutions":[{"id":"https://openalex.org/I40036882","display_name":"Institute for Advanced Study","ror":"https://ror.org/00f809463","country_code":"US","type":"facility","lineage":["https://openalex.org/I40036882"]},{"id":"https://openalex.org/I66946132","display_name":"University of Maryland, College Park","ror":"https://ror.org/047s2c258","country_code":"US","type":"education","lineage":["https://openalex.org/I66946132"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"William I. Gasarch","raw_affiliation_strings":["Department of Computer Science, University of Maryland, College Park, MD 20742, USA","Department of Computer Science, Institute for Advanced Study, University of Maryland, College Park, MD 20742, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Maryland, College Park, MD 20742, USA","institution_ids":["https://openalex.org/I66946132"]},{"raw_affiliation_string":"Department of Computer Science, Institute for Advanced Study, University of Maryland, College Park, MD 20742, USA","institution_ids":["https://openalex.org/I40036882","https://openalex.org/I66946132"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":3390,"currency":"USD","value_usd":3390},"apc_paid":null,"fwci":4.2259,"has_fulltext":false,"cited_by_count":34,"citation_normalized_percentile":{"value":0.96034696,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"45","issue":"1","first_page":"1","last_page":"38"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994000196456909,"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"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9994000196456909,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9991000294685364,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9986000061035156,"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/chromatic-scale","display_name":"Chromatic scale","score":0.7302398681640625},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7252634167671204},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.7156711220741272},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.575375497341156},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5598799586296082},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5124230980873108},{"id":"https://openalex.org/keywords/friendship-graph","display_name":"Friendship graph","score":0.47831419110298157},{"id":"https://openalex.org/keywords/windmill-graph","display_name":"Windmill graph","score":0.41725271940231323},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.16083171963691711},{"id":"https://openalex.org/keywords/voltage-graph","display_name":"Voltage graph","score":0.15932276844978333}],"concepts":[{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.7302398681640625},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7252634167671204},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.7156711220741272},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.575375497341156},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5598799586296082},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5124230980873108},{"id":"https://openalex.org/C70488441","wikidata":"https://www.wikidata.org/wiki/Q5504427","display_name":"Friendship graph","level":5,"score":0.47831419110298157},{"id":"https://openalex.org/C73380178","wikidata":"https://www.wikidata.org/wiki/Q8024306","display_name":"Windmill graph","level":5,"score":0.41725271940231323},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.16083171963691711},{"id":"https://openalex.org/C22149727","wikidata":"https://www.wikidata.org/wiki/Q7940747","display_name":"Voltage graph","level":4,"score":0.15932276844978333},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1016/0168-0072(89)90029-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0168-0072(89)90029-8","pdf_url":null,"source":{"id":"https://openalex.org/S172477885","display_name":"Annals of Pure and Applied Logic","issn_l":"0168-0072","issn":["0168-0072","1873-2461"],"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":"Annals of Pure and Applied Logic","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.40.8077","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.40.8077","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.umd.edu/~gasarch/forweb/bdq_chrom.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":48,"referenced_works":["https://openalex.org/W48693379","https://openalex.org/W189098498","https://openalex.org/W1484263677","https://openalex.org/W1505211902","https://openalex.org/W1975489634","https://openalex.org/W1987375835","https://openalex.org/W1988287732","https://openalex.org/W1990851447","https://openalex.org/W2003828950","https://openalex.org/W2007706420","https://openalex.org/W2008839847","https://openalex.org/W2018729969","https://openalex.org/W2027679733","https://openalex.org/W2029134832","https://openalex.org/W2037783166","https://openalex.org/W2040234790","https://openalex.org/W2041943346","https://openalex.org/W2056414301","https://openalex.org/W2057670391","https://openalex.org/W2058374948","https://openalex.org/W2070194138","https://openalex.org/W2072181151","https://openalex.org/W2081035511","https://openalex.org/W2088044688","https://openalex.org/W2090451983","https://openalex.org/W2117832390","https://openalex.org/W2140152225","https://openalex.org/W2142901448","https://openalex.org/W2168714844","https://openalex.org/W2321852024","https://openalex.org/W2326563584","https://openalex.org/W2330963367","https://openalex.org/W2404956424","https://openalex.org/W2530006810","https://openalex.org/W2905135108","https://openalex.org/W4213194823","https://openalex.org/W4231402170","https://openalex.org/W4250523650","https://openalex.org/W4389332724","https://openalex.org/W6607751785","https://openalex.org/W6630520687","https://openalex.org/W6649112680","https://openalex.org/W6657617767","https://openalex.org/W6659943520","https://openalex.org/W6664597228","https://openalex.org/W6684637589","https://openalex.org/W6713272830","https://openalex.org/W6822306580"],"related_works":["https://openalex.org/W2091414672","https://openalex.org/W2049992750","https://openalex.org/W4240570119","https://openalex.org/W2804029448","https://openalex.org/W1526979981","https://openalex.org/W3120282738","https://openalex.org/W2390298591","https://openalex.org/W4239935555","https://openalex.org/W2378383428","https://openalex.org/W2562183448"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2026-03-10T14:07:55.174380","created_date":"2025-10-10T00:00:00"}