{"id":"https://openalex.org/W4245703591","doi":"https://doi.org/10.1002/(sici)1097-0118(199607)22:3<245::aid-jgt5>3.0.co;2-m","title":"Every 2-choosable graph is (2m, m)-choosable","display_name":"Every 2-choosable graph is (2m, m)-choosable","publication_year":1996,"publication_date":"1996-07-01","ids":{"openalex":"https://openalex.org/W4245703591","doi":"https://doi.org/10.1002/(sici)1097-0118(199607)22:3<245::aid-jgt5>3.0.co;2-m"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0118(199607)22:3<245::aid-jgt5>3.0.co;2-m","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199607)22:3<245::aid-jgt5>3.0.co;2-m","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,"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"},"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/A5058903630","display_name":"Zs. Tuza","orcid":null},"institutions":[{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"funder","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":true,"raw_author_name":"Zs. Tuza","raw_affiliation_strings":["Computer and Automation Institute, Hungarian Academy of Sciences, H-1111 Budapest, Kende U. 13-17, Hungary"],"affiliations":[{"raw_affiliation_string":"Computer and Automation Institute, Hungarian Academy of Sciences, H-1111 Budapest, Kende U. 13-17, Hungary","institution_ids":["https://openalex.org/I7597260"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5018222772","display_name":"Margit Voigt","orcid":null},"institutions":[{"id":"https://openalex.org/I119449181","display_name":"Technische Universit\u00e4t Ilmenau","ror":"https://ror.org/01weqhp73","country_code":"DE","type":"education","lineage":["https://openalex.org/I119449181"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"M. Voigt","raw_affiliation_strings":["Institut Fu\u0308r Mathematik, Technische Universita\u0308t Ilmenau, D-98684 Ilmenau, Germany","Institut F\u00fcr Mathematik, Technische Universit\u00e4t Ilmenau, D-98684 Ilmenau, Germany"],"affiliations":[{"raw_affiliation_string":"Institut Fu\u0308r Mathematik, Technische Universita\u0308t Ilmenau, D-98684 Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]},{"raw_affiliation_string":"Institut F\u00fcr Mathematik, Technische Universit\u00e4t Ilmenau, D-98684 Ilmenau, Germany","institution_ids":["https://openalex.org/I119449181"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058903630"],"corresponding_institution_ids":["https://openalex.org/I7597260"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":1.5459,"has_fulltext":false,"cited_by_count":20,"citation_normalized_percentile":{"value":0.85264484,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"22","issue":"3","first_page":"245","last_page":"252"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9574000239372253,"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":0.9574000239372253,"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/T13991","display_name":"Nuclear Receptors and Signaling","score":0.8999999761581421,"subfield":{"id":"https://openalex.org/subfields/2804","display_name":"Cellular and Molecular Neuroscience"},"field":{"id":"https://openalex.org/fields/28","display_name":"Neuroscience"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7605931758880615},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6326364278793335},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6279714703559875},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.6059088110923767},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.4149611294269562},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39747628569602966},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1971772313117981},{"id":"https://openalex.org/keywords/database","display_name":"Database","score":0.0535273551940918}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7605931758880615},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6326364278793335},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6279714703559875},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.6059088110923767},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.4149611294269562},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39747628569602966},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1971772313117981},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0535273551940918}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-0118(199607)22:3<245::aid-jgt5>3.0.co;2-m","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199607)22:3<245::aid-jgt5>3.0.co;2-m","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,"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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320321994","display_name":"Hungarian Scientific Research Fund","ror":"https://ror.org/00v349e63"},{"id":"https://openalex.org/F4320322192","display_name":"Magyar Tudom\u00e1nyos Akad\u00e9mia","ror":"https://ror.org/02ks8qq67"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2002177687","https://openalex.org/W2058438338","https://openalex.org/W2019471580","https://openalex.org/W2941284322","https://openalex.org/W4224920876","https://openalex.org/W2168299207","https://openalex.org/W2124475651","https://openalex.org/W3111310291","https://openalex.org/W24519920","https://openalex.org/W2087778462"],"abstract_inverted_index":{"A":[0],"graph":[1,81],"G":[2],"=":[3,46,53],"(V,":[4],"E)":[5],"with":[6],"vertex":[7],"set":[8,12],"V":[9],"and":[10,71],"edge":[11],"E":[13],"is":[14,82],"called":[15],"(a,b)-choosable":[16],"(a":[17],"\u2265":[18],"2b)":[19],"if":[20],"for":[21,55,85],"any":[22],"collection":[23,36],"{L(\u03c5)|\u03c5":[24],"\u03f5":[25,38,58],"V}":[26,39],"of":[27,30,40],"sets":[28],"L(\u03c5)":[29],"cardinality":[31],"a":[32,35,61,65],"there":[33],"exists":[34],"{C(\u03c5)|\u03c5":[37],"subsets":[41],"C(\u03c5)":[42,50],"\u2282":[43],"L(\u03c5),":[44],"|C(\u03c5)|":[45],"b,":[47],"such":[48],"that":[49,77],"\u2229":[51],"C(w)":[52],"0":[54],"all":[56,86],"\u03c5w":[57],"E.":[59],"Giving":[60],"partial":[62],"solution":[63],"to":[64],"problem":[66],"raised":[67],"by":[68],"Erd\u00f6s,":[69],"Rubin,":[70],"Taylor":[72],"in":[73],"1979,":[74],"we":[75],"prove":[76],"every":[78],"(2,":[79],"1)-choosable":[80],"(2m,":[83],"m)-choosable":[84],"m":[87],">":[88],"1.":[89],"\u00a9":[90],"1996":[91],"John":[92],"Wiley":[93],"&":[94],"Sons,":[95],"Inc.":[96]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":4}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}