{"id":"https://openalex.org/W4254094289","doi":"https://doi.org/10.1002/(sici)1097-0118(199704)24:4<297::aid-jgt2>3.0.co;2-j","title":"Induced trees in graphs of large chromatic number","display_name":"Induced trees in graphs of large chromatic number","publication_year":1997,"publication_date":"1997-04-01","ids":{"openalex":"https://openalex.org/W4254094289","doi":"https://doi.org/10.1002/(sici)1097-0118(199704)24:4<297::aid-jgt2>3.0.co;2-j"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0118(199704)24:4<297::aid-jgt2>3.0.co;2-j","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199704)24:4<297::aid-jgt2>3.0.co;2-j","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/A5045091550","display_name":"Alex Scott","orcid":"https://orcid.org/0000-0003-4489-5988"},"institutions":[{"id":"https://openalex.org/I241749","display_name":"University of Cambridge","ror":"https://ror.org/013meh722","country_code":"GB","type":"education","lineage":["https://openalex.org/I241749"]},{"id":"https://openalex.org/I4210153325","display_name":"Institute of Mathematical Statistics","ror":"https://ror.org/043f04882","country_code":"US","type":"other","lineage":["https://openalex.org/I4210153325"]}],"countries":["GB","US"],"is_corresponding":true,"raw_author_name":"A. D. Scott","raw_affiliation_strings":["Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB2 1SB, England"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Pure Mathematics and Mathematical Statistics, University of Cambridge, Cambridge CB2 1SB, England","institution_ids":["https://openalex.org/I241749","https://openalex.org/I4210153325"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5045091550"],"corresponding_institution_ids":["https://openalex.org/I241749","https://openalex.org/I4210153325"],"apc_list":{"value":3760,"currency":"USD","value_usd":3760},"apc_paid":null,"fwci":0.4903,"has_fulltext":false,"cited_by_count":68,"citation_normalized_percentile":{"value":0.67527414,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":99},"biblio":{"volume":"24","issue":"4","first_page":"297","last_page":"311"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11151","display_name":"Advanced Topology and Set Theory","score":0.970300018787384,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.970300018787384,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9355000257492065,"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/combinatorics","display_name":"Combinatorics","score":0.8959943056106567},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8057029247283936},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.6502768397331238},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6493955850601196},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.5995758175849915},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5886748433113098},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.47597259283065796},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.46695858240127563},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.46224287152290344},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06879204511642456}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8959943056106567},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8057029247283936},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.6502768397331238},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6493955850601196},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.5995758175849915},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5886748433113098},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.47597259283065796},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.46695858240127563},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.46224287152290344},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06879204511642456},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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":1,"locations":[{"id":"doi:10.1002/(sici)1097-0118(199704)24:4<297::aid-jgt2>3.0.co;2-j","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0118(199704)24:4<297::aid-jgt2>3.0.co;2-j","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":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2384806462","https://openalex.org/W4389950792","https://openalex.org/W2375549870","https://openalex.org/W4376632515","https://openalex.org/W2163269603","https://openalex.org/W4205312897","https://openalex.org/W2795347481","https://openalex.org/W2750153370","https://openalex.org/W1106115901","https://openalex.org/W2140072033"],"abstract_inverted_index":{"Gy\u00e1rf\u00e1s":[0],"and":[1,10,50],"Sumner":[2],"independently":[3],"conjectured":[4],"that":[5,20,57],"for":[6,46],"every":[7,21,47,58],"tree":[8,48],"T":[9,49],"integer":[11,16,51],"k":[12,52],"there":[13,53],"is":[14,54],"an":[15,33,69],"f(k,":[17,27],"T)":[18],"such":[19,56],"graph":[22,59],"G":[23,60],"with":[24,61],"\u03c7(G)":[25,62],">":[26,63],"t)":[28],"contains":[29,65],"either":[30,66],"Kk":[31,67],"or":[32,68],"induced":[34,70],"copy":[35,71],"of":[36,43,72,75],"T.":[37,76],"We":[38],"prove":[39],"a":[40,73],"\u2018topological\u2019":[41],"version":[42],"the":[44],"conjecture:":[45],"g(k,T)":[55],"g(k,t)":[64],"subdivision":[74],"\u00a9":[77],"1997":[78],"John":[79],"Wiley":[80],"&":[81],"Sons,":[82],"Inc.":[83]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":6},{"year":2023,"cited_by_count":9},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":4},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":4}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}
