{"id":"https://openalex.org/W1520619927","doi":"https://doi.org/10.1007/bf01202354","title":"Hadwiger's conjecture forK 6-free graphs","display_name":"Hadwiger's conjecture forK 6-free graphs","publication_year":1993,"publication_date":"1993-09-01","ids":{"openalex":"https://openalex.org/W1520619927","doi":"https://doi.org/10.1007/bf01202354","mag":"1520619927"},"language":"en","primary_location":{"id":"doi:10.1007/bf01202354","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01202354","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/A5019299318","display_name":"Neil Robertson","orcid":"https://orcid.org/0000-0002-9230-6124"},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Neil Robertson","raw_affiliation_strings":["Dept. of Mathematics, Ohio State University, 231 West 18th Ave, 43210, Columbus, Ohio, USA","Department of Mathematics, Ohio State University, Columbus, USA"],"affiliations":[{"raw_affiliation_string":"Dept. of Mathematics, Ohio State University, 231 West 18th Ave, 43210, Columbus, Ohio, USA","institution_ids":["https://openalex.org/I52357470"]},{"raw_affiliation_string":"Department of Mathematics, Ohio State University, Columbus, USA","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5031948088","display_name":"Paul Seymour","orcid":"https://orcid.org/0000-0003-0067-4534"},"institutions":[{"id":"https://openalex.org/I2802646204","display_name":"Morristown Medical Center","ror":"https://ror.org/03m6tev69","country_code":"US","type":"healthcare","lineage":["https://openalex.org/I2802646204","https://openalex.org/I67339987"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Paul Seymour","raw_affiliation_strings":["Bellcore, 445 South St., 07962, Morristown, New Jersey, USA","Morristown, USA"],"affiliations":[{"raw_affiliation_string":"Bellcore, 445 South St., 07962, Morristown, New Jersey, USA","institution_ids":[]},{"raw_affiliation_string":"Morristown, USA","institution_ids":["https://openalex.org/I2802646204"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101892672","display_name":"Robin Thomas","orcid":"https://orcid.org/0000-0002-9318-1458"},"institutions":[{"id":"https://openalex.org/I130701444","display_name":"Georgia Institute of Technology","ror":"https://ror.org/01zkghx44","country_code":"US","type":"education","lineage":["https://openalex.org/I130701444"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Robin Thomas","raw_affiliation_strings":["School of Mathematics, Georgia Institute of Technology, 30332, Atlanta, Georgia, USA","School of Mathematics  Georgia Institute of Technology, Atlanta, USA"],"affiliations":[{"raw_affiliation_string":"School of Mathematics, Georgia Institute of Technology, 30332, Atlanta, Georgia, USA","institution_ids":["https://openalex.org/I130701444"]},{"raw_affiliation_string":"School of Mathematics  Georgia Institute of Technology, Atlanta, USA","institution_ids":["https://openalex.org/I130701444"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5019299318"],"corresponding_institution_ids":["https://openalex.org/I52357470"],"apc_list":null,"apc_paid":null,"fwci":2.6062,"has_fulltext":false,"cited_by_count":290,"citation_normalized_percentile":{"value":0.88385428,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":98,"max":100},"biblio":{"volume":"13","issue":"3","first_page":"279","last_page":"361"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9994999766349792,"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":0.9994999766349792,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9975000023841858,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9911999702453613,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8459567427635193},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8390861749649048},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7807692289352417},{"id":"https://openalex.org/keywords/contractible-space","display_name":"Contractible space","score":0.686397135257721},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.6529555320739746},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4648975431919098},{"id":"https://openalex.org/keywords/complete-graph","display_name":"Complete graph","score":0.45390784740448},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3899437189102173}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8459567427635193},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8390861749649048},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7807692289352417},{"id":"https://openalex.org/C169611556","wikidata":"https://www.wikidata.org/wiki/Q230689","display_name":"Contractible space","level":2,"score":0.686397135257721},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.6529555320739746},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4648975431919098},{"id":"https://openalex.org/C125080357","wikidata":"https://www.wikidata.org/wiki/Q45715","display_name":"Complete graph","level":3,"score":0.45390784740448},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3899437189102173}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01202354","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01202354","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1566410171","https://openalex.org/W1656795039","https://openalex.org/W1975659026","https://openalex.org/W1976285925","https://openalex.org/W1983693068","https://openalex.org/W1985061810","https://openalex.org/W1989340449","https://openalex.org/W2021051404","https://openalex.org/W2056199150","https://openalex.org/W2059563583","https://openalex.org/W2060765530","https://openalex.org/W2061980451","https://openalex.org/W2071321409","https://openalex.org/W2132418889","https://openalex.org/W2381070482","https://openalex.org/W2599477347","https://openalex.org/W4210246355"],"related_works":["https://openalex.org/W4309222106","https://openalex.org/W2012590989","https://openalex.org/W4385681624","https://openalex.org/W4240581084","https://openalex.org/W2271699460","https://openalex.org/W1734188852","https://openalex.org/W2952569802","https://openalex.org/W2049141591","https://openalex.org/W2950489642","https://openalex.org/W4297939726"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":17},{"year":2022,"cited_by_count":11},{"year":2021,"cited_by_count":12},{"year":2020,"cited_by_count":8},{"year":2019,"cited_by_count":16},{"year":2018,"cited_by_count":10},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":17},{"year":2015,"cited_by_count":11},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":16},{"year":2012,"cited_by_count":10}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
