{"id":"https://openalex.org/W1985032817","doi":"https://doi.org/10.1016/s0012-365x(99)00175-2","title":"On the Haj\u00f3s number of graphs","display_name":"On the Haj\u00f3s number of graphs","publication_year":2000,"publication_date":"2000-02-01","ids":{"openalex":"https://openalex.org/W1985032817","doi":"https://doi.org/10.1016/s0012-365x(99)00175-2","mag":"1985032817"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(99)00175-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(99)00175-2","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/A5044021493","display_name":"Gregory Gutin","orcid":"https://orcid.org/0000-0002-2377-0417"},"institutions":[{"id":"https://openalex.org/I177463362","display_name":"University of West London","ror":"https://ror.org/03e5mzp60","country_code":"GB","type":"education","lineage":["https://openalex.org/I177463362"]},{"id":"https://openalex.org/I2801498763","display_name":"Odense University Hospital","ror":"https://ror.org/00ey0ed83","country_code":"DK","type":"funder","lineage":["https://openalex.org/I2801498763"]},{"id":"https://openalex.org/I59433898","display_name":"Brunel University of London","ror":"https://ror.org/00dn4t376","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I59433898"]}],"countries":["DK","GB"],"is_corresponding":false,"raw_author_name":"G. Gutin","raw_affiliation_strings":["Brunel University of West London, Uxbridge, Middlesex, UK","Institute for Mathematik og Datalogi, Odense Universitet, Compusvej 55, 5230 Odense M, Denmark"],"affiliations":[{"raw_affiliation_string":"Brunel University of West London, Uxbridge, Middlesex, UK","institution_ids":["https://openalex.org/I177463362","https://openalex.org/I59433898"]},{"raw_affiliation_string":"Institute for Mathematik og Datalogi, Odense Universitet, Compusvej 55, 5230 Odense M, Denmark","institution_ids":["https://openalex.org/I2801498763"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080894223","display_name":"Alexandr Kostochka","orcid":"https://orcid.org/0000-0002-6363-3804"},"institutions":[{"id":"https://openalex.org/I188973947","display_name":"Novosibirsk State University","ror":"https://ror.org/04t2ss102","country_code":"RU","type":"education","lineage":["https://openalex.org/I188973947"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"A.V. Kostochka","raw_affiliation_strings":["Novosibirsk State University, Novosibirsk, Russia"],"affiliations":[{"raw_affiliation_string":"Novosibirsk State University, Novosibirsk, Russia","institution_ids":["https://openalex.org/I188973947"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5112340269","display_name":"Bjarne Toft","orcid":"https://orcid.org/0000-0002-7983-298X"},"institutions":[{"id":"https://openalex.org/I2801498763","display_name":"Odense University Hospital","ror":"https://ror.org/00ey0ed83","country_code":"DK","type":"funder","lineage":["https://openalex.org/I2801498763"]}],"countries":["DK"],"is_corresponding":true,"raw_author_name":"B. Toft","raw_affiliation_strings":["Institute for Mathematik og Datalogi, Odense Universitet, Compusvej 55, 5230 Odense M, Denmark"],"affiliations":[{"raw_affiliation_string":"Institute for Mathematik og Datalogi, Odense Universitet, Compusvej 55, 5230 Odense M, Denmark","institution_ids":["https://openalex.org/I2801498763"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5112340269"],"corresponding_institution_ids":["https://openalex.org/I2801498763"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.12570356,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"213","issue":"1-3","first_page":"153","last_page":"161"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9980000257492065,"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":0.9975000023841858,"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":0.8648556470870972},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8143674731254578},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6474205851554871},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.6016367673873901},{"id":"https://openalex.org/keywords/monochromatic-color","display_name":"Monochromatic color","score":0.5320682525634766},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49740317463874817},{"id":"https://openalex.org/keywords/complete-graph","display_name":"Complete graph","score":0.4277638792991638}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8648556470870972},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8143674731254578},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6474205851554871},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.6016367673873901},{"id":"https://openalex.org/C40833965","wikidata":"https://www.wikidata.org/wiki/Q6901438","display_name":"Monochromatic color","level":2,"score":0.5320682525634766},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49740317463874817},{"id":"https://openalex.org/C125080357","wikidata":"https://www.wikidata.org/wiki/Q45715","display_name":"Complete graph","level":3,"score":0.4277638792991638},{"id":"https://openalex.org/C59822182","wikidata":"https://www.wikidata.org/wiki/Q441","display_name":"Botany","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1016/s0012-365x(99)00175-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(99)00175-2","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"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.30.6430","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.30.6430","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathematik.uni-bielefeld.de/sfb343/preprints/pr97025.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.300.2866","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.300.2866","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/~kostochk/docs/2000/dm2000GuTof.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.57.4320","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.4320","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.imada.ou.dk/pub/papers/pp-1997/10.ps.gz","raw_type":"text"},{"id":"pmh:oai:sdu.dk:openaire_cris_publications/77805780-ba97-11dc-9626-000ea68e967b","is_oa":false,"landing_page_url":"https://portal.findresearcher.sdu.dk/da/publications/77805780-ba97-11dc-9626-000ea68e967b","pdf_url":null,"source":{"id":"https://openalex.org/S4306400423","display_name":"University of Southern Denmark Research Portal (University of Southern Denmark)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I177969490","host_organization_name":"University of Southern Denmark","host_organization_lineage":["https://openalex.org/I177969490"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Gutin , G , Kostochka , A V &amp; Toft , B 2000 , ' On the H\u00e1jos number of graphs ' , Discrete Mathematics , vol. 213 , pp. 153-6 . https://doi.org/10.1016/S0012-365X(99)00175-2","raw_type":"article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W49540560","https://openalex.org/W345637930","https://openalex.org/W1487872891","https://openalex.org/W1965380924","https://openalex.org/W1967546560","https://openalex.org/W1975659026","https://openalex.org/W2019067855","https://openalex.org/W2033503174","https://openalex.org/W2034615466","https://openalex.org/W2044281446","https://openalex.org/W2068871408","https://openalex.org/W2084389562","https://openalex.org/W2089266803","https://openalex.org/W2109542562","https://openalex.org/W2771707535"],"related_works":["https://openalex.org/W2066316519","https://openalex.org/W2170028807","https://openalex.org/W2949842039","https://openalex.org/W4364387334","https://openalex.org/W4297894554","https://openalex.org/W4299318997","https://openalex.org/W2962955622","https://openalex.org/W1977466596","https://openalex.org/W1576329235","https://openalex.org/W1993001030"],"abstract_inverted_index":null,"counts_by_year":[{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
