{"id":"https://openalex.org/W2055108763","doi":"https://doi.org/10.1007/s004930100011","title":"Density Conditions for Panchromatic Colourings of Hypergraphs","display_name":"Density Conditions for Panchromatic Colourings of Hypergraphs","publication_year":2001,"publication_date":"2001-10-01","ids":{"openalex":"https://openalex.org/W2055108763","doi":"https://doi.org/10.1007/s004930100011","mag":"2055108763"},"language":"en","primary_location":{"id":"doi:10.1007/s004930100011","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s004930100011","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","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/A5080894223","display_name":"Alexandr Kostochka","orcid":"https://orcid.org/0000-0002-6363-3804"},"institutions":[{"id":"https://openalex.org/I183874917","display_name":"Urbana University","ror":"https://ror.org/04kp3hw27","country_code":"US","type":"education","lineage":["https://openalex.org/I183874917"]},{"id":"https://openalex.org/I4210105926","display_name":"Institute of Mathematics and Informatics","ror":"https://ror.org/01b5dy719","country_code":"BG","type":"facility","lineage":["https://openalex.org/I24768866","https://openalex.org/I4210105926"]},{"id":"https://openalex.org/I4210120266","display_name":"Czech Academy of Sciences, Institute of Mathematics","ror":"https://ror.org/02tv1yf50","country_code":"CZ","type":"facility","lineage":["https://openalex.org/I202391551","https://openalex.org/I4210120266"]},{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["BG","CZ","US"],"is_corresponding":true,"raw_author_name":"Alexandr V. Kostochka","raw_affiliation_strings":["Institute of Mathematics; Novosibirsk, 630090, Russia; and Department of Mathematics, University of Illinois at Urbana-Champaign; Urbana, IL 61801, USA;","Urbana, IL 61801, USA","Department of Mathematics, University of Illinois at Urbana-Champaign","Novosibirsk, 630090, Russia","Institute of Mathematics"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics; Novosibirsk, 630090, Russia; and Department of Mathematics, University of Illinois at Urbana-Champaign; Urbana, IL 61801, USA;","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Urbana, IL 61801, USA","institution_ids":["https://openalex.org/I183874917"]},{"raw_affiliation_string":"Department of Mathematics, University of Illinois at Urbana-Champaign","institution_ids":["https://openalex.org/I157725225"]},{"raw_affiliation_string":"Novosibirsk, 630090, Russia","institution_ids":[]},{"raw_affiliation_string":"Institute of Mathematics","institution_ids":["https://openalex.org/I4210105926","https://openalex.org/I4210120266"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090473357","display_name":"Douglas R. Woodall","orcid":"https://orcid.org/0000-0002-1979-8855"},"institutions":[{"id":"https://openalex.org/I142263535","display_name":"University of Nottingham","ror":"https://ror.org/01ee9ar58","country_code":"GB","type":"education","lineage":["https://openalex.org/I142263535"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Douglas R. Woodall","raw_affiliation_strings":["School of Mathematical Sciences, University of Nottingham; Nottingham, NG7 2RD, England;","School of Mathematical Sciences, University of Nottingham","Nottingham, NG7 2RD, England"],"affiliations":[{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham; Nottingham, NG7 2RD, England;","institution_ids":["https://openalex.org/I142263535"]},{"raw_affiliation_string":"School of Mathematical Sciences, University of Nottingham","institution_ids":["https://openalex.org/I142263535"]},{"raw_affiliation_string":"Nottingham, NG7 2RD, England","institution_ids":["https://openalex.org/I142263535"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080894223"],"corresponding_institution_ids":["https://openalex.org/I157725225","https://openalex.org/I183874917","https://openalex.org/I4210105926","https://openalex.org/I4210120266"],"apc_list":null,"apc_paid":null,"fwci":0.5037,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.64317657,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"21","issue":"4","first_page":"515","last_page":"541"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11666","display_name":"Color Science and Applications","score":0.7109000086784363,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11666","display_name":"Color Science and Applications","score":0.7109000086784363,"subfield":{"id":"https://openalex.org/subfields/3107","display_name":"Atomic and Molecular Physics, and Optics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.8759214282035828},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8476108312606812},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.825492262840271},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.706084132194519},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.5242595672607422},{"id":"https://openalex.org/keywords/panchromatic-film","display_name":"Panchromatic film","score":0.43103986978530884},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41053539514541626},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3973488509654999},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.12535041570663452},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06430613994598389}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8759214282035828},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8476108312606812},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.825492262840271},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.706084132194519},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.5242595672607422},{"id":"https://openalex.org/C107445234","wikidata":"https://www.wikidata.org/wiki/Q280995","display_name":"Panchromatic film","level":3,"score":0.43103986978530884},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41053539514541626},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3973488509654999},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.12535041570663452},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06430613994598389},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s004930100011","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s004930100011","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.224.7866","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.224.7866","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uiuc.edu/%7Ekostochk/docs/2004/comb01w.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1978379258","https://openalex.org/W2025484786","https://openalex.org/W2063292248"],"related_works":["https://openalex.org/W2158027388","https://openalex.org/W2349359340","https://openalex.org/W2347211862","https://openalex.org/W4287282750","https://openalex.org/W2002366080","https://openalex.org/W1524556636","https://openalex.org/W1988533413","https://openalex.org/W3127534791","https://openalex.org/W2950817880","https://openalex.org/W3178681420"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":3},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}