{"id":"https://openalex.org/W2617354712","doi":"https://doi.org/10.1007/s00493-017-3553-8","title":"Three-Coloring and List Three-Coloring of Graphs Without Induced Paths on Seven Vertices","display_name":"Three-Coloring and List Three-Coloring of Graphs Without Induced Paths on Seven Vertices","publication_year":2017,"publication_date":"2017-05-31","ids":{"openalex":"https://openalex.org/W2617354712","doi":"https://doi.org/10.1007/s00493-017-3553-8","mag":"2617354712"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-017-3553-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-017-3553-8","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11336/97122","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5011951129","display_name":"Flavia Bonomo","orcid":"https://orcid.org/0000-0002-9872-7528"},"institutions":[{"id":"https://openalex.org/I24354313","display_name":"University of Buenos Aires","ror":"https://ror.org/0081fs513","country_code":"AR","type":"education","lineage":["https://openalex.org/I24354313"]},{"id":"https://openalex.org/I151201029","display_name":"Consejo Nacional de Investigaciones Cient\u00edficas y T\u00e9cnicas","ror":"https://ror.org/03cqe8w59","country_code":"AR","type":"funder","lineage":["https://openalex.org/I151201029","https://openalex.org/I4210123736","https://openalex.org/I4387155568"]}],"countries":["AR"],"is_corresponding":true,"raw_author_name":"Flavia Bonomo","raw_affiliation_strings":["CONICET and Departamento de Computaci\u00f3n, FCEN, Universidad de Buenos Aires, Aires, Argentina"],"affiliations":[{"raw_affiliation_string":"CONICET and Departamento de Computaci\u00f3n, FCEN, Universidad de Buenos Aires, Aires, Argentina","institution_ids":["https://openalex.org/I24354313","https://openalex.org/I151201029"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5028345325","display_name":"Maria Chudnovsky","orcid":"https://orcid.org/0000-0002-8920-4944"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Maria Chudnovsky","raw_affiliation_strings":["Princeton University, Princeton, NJ, 08544, USA"],"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, NJ, 08544, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5013897997","display_name":"Peter Maceli","orcid":null},"institutions":[{"id":"https://openalex.org/I80134939","display_name":"Canisius College","ror":"https://ror.org/01056ge55","country_code":"US","type":"education","lineage":["https://openalex.org/I80134939"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Peter Maceli","raw_affiliation_strings":["Department of Mathematics and Statistics, Canisius College, Buffalo, NY, 14208, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Statistics, Canisius College, Buffalo, NY, 14208, USA","institution_ids":["https://openalex.org/I80134939"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068835430","display_name":"Oliver Schaudt","orcid":"https://orcid.org/0000-0002-6817-0976"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Oliver Schaudt","raw_affiliation_strings":["Institut f\u00fcr Informatik, Universit\u00e4t zu K\u00e4ln, K\u00e4ln, Germany"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Informatik, Universit\u00e4t zu K\u00e4ln, K\u00e4ln, Germany","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5019888754","display_name":"Maya Stein","orcid":"https://orcid.org/0000-0001-7922-6413"},"institutions":[{"id":"https://openalex.org/I69737025","display_name":"University of Chile","ror":"https://ror.org/047gc3g35","country_code":"CL","type":"education","lineage":["https://openalex.org/I69737025"]}],"countries":["CL"],"is_corresponding":false,"raw_author_name":"Maya Stein","raw_affiliation_strings":["Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Chile, Santiago, Chile"],"affiliations":[{"raw_affiliation_string":"Departamento de Ingenier\u00eda Matem\u00e1tica, Universidad de Chile, Santiago, Chile","institution_ids":["https://openalex.org/I69737025"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066152247","display_name":"Mingxian Zhong","orcid":"https://orcid.org/0000-0001-5924-1296"},"institutions":[{"id":"https://openalex.org/I78577930","display_name":"Columbia University","ror":"https://ror.org/00hj8s172","country_code":"US","type":"education","lineage":["https://openalex.org/I78577930"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Mingxian Zhong","raw_affiliation_strings":["Columbia University, New York, NY, 10027, USA"],"affiliations":[{"raw_affiliation_string":"Columbia University, New York, NY, 10027, USA","institution_ids":["https://openalex.org/I78577930"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5011951129"],"corresponding_institution_ids":["https://openalex.org/I151201029","https://openalex.org/I24354313"],"apc_list":null,"apc_paid":null,"fwci":9.0105,"has_fulltext":false,"cited_by_count":80,"citation_normalized_percentile":{"value":0.98345301,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":91,"max":100},"biblio":{"volume":"38","issue":"4","first_page":"779","last_page":"801"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9998000264167786,"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":0.9998000264167786,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9951000213623047,"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/T12288","display_name":"Optimization and Search Problems","score":0.9854000210762024,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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":0.849804162979126},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8215032815933228},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.8030394315719604},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.7885845899581909},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.762305736541748},{"id":"https://openalex.org/keywords/greedy-coloring","display_name":"Greedy coloring","score":0.6348535418510437},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.619265079498291},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6086692214012146},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.5956450700759888},{"id":"https://openalex.org/keywords/brooks-theorem","display_name":"Brooks' theorem","score":0.47179359197616577},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.45189169049263},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.44163352251052856},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.20329755544662476},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.18096673488616943},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.14764240384101868},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.07489442825317383}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.849804162979126},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8215032815933228},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.8030394315719604},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.7885845899581909},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.762305736541748},{"id":"https://openalex.org/C38767284","wikidata":"https://www.wikidata.org/wiki/Q5601715","display_name":"Greedy coloring","level":5,"score":0.6348535418510437},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.619265079498291},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6086692214012146},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.5956450700759888},{"id":"https://openalex.org/C51658606","wikidata":"https://www.wikidata.org/wiki/Q512897","display_name":"Brooks' theorem","level":5,"score":0.47179359197616577},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.45189169049263},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.44163352251052856},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.20329755544662476},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.18096673488616943},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.14764240384101868},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.07489442825317383}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s00493-017-3553-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-017-3553-8","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:USBKOELN.ub.uni-koeln.de:17771","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400371","display_name":"K\u00f6lner Universit\u00e4ts PublikationsServer (Universit\u00e4t zu K\u00f6ln)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210115942","host_organization_name":"Rhenish Institute for Environmental Research","host_organization_lineage":["https://openalex.org/I4210115942"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"","raw_type":"doc-type:article"},{"id":"pmh:oai:ri.conicet.gov.ar:11336/97122","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/97122","pdf_url":null,"source":{"id":"https://openalex.org/S4306401400","display_name":"Conicet","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210104196","host_organization_name":"Centro Cient\u00edfico Tecnol\u00f3gico - Nordeste","host_organization_lineage":["https://openalex.org/I4210104196"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:ri.conicet.gov.ar:11336/97122","is_oa":true,"landing_page_url":"http://hdl.handle.net/11336/97122","pdf_url":null,"source":{"id":"https://openalex.org/S4306401400","display_name":"Conicet","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210104196","host_organization_name":"Centro Cient\u00edfico Tecnol\u00f3gico - Nordeste","host_organization_lineage":["https://openalex.org/I4210104196"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc-sa","license_id":"https://openalex.org/licenses/cc-by-nc-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W53480340","https://openalex.org/W1500269355","https://openalex.org/W1509433326","https://openalex.org/W1691067280","https://openalex.org/W1695953772","https://openalex.org/W1817238136","https://openalex.org/W1882281809","https://openalex.org/W1911143988","https://openalex.org/W1930073757","https://openalex.org/W1966769222","https://openalex.org/W1968069760","https://openalex.org/W1974068132","https://openalex.org/W1979630335","https://openalex.org/W1979740015","https://openalex.org/W1981455469","https://openalex.org/W2031823362","https://openalex.org/W2068121436","https://openalex.org/W2095269023","https://openalex.org/W2102669784","https://openalex.org/W2156678756","https://openalex.org/W2216934276","https://openalex.org/W2264406464","https://openalex.org/W2282776087","https://openalex.org/W2401610261","https://openalex.org/W2911303369","https://openalex.org/W2949837559","https://openalex.org/W2950068027","https://openalex.org/W2950313154","https://openalex.org/W2953266977","https://openalex.org/W3149604617","https://openalex.org/W3186546642"],"related_works":["https://openalex.org/W4311345810","https://openalex.org/W4297911588","https://openalex.org/W2585997002","https://openalex.org/W3169197204","https://openalex.org/W4296943582","https://openalex.org/W3157287446","https://openalex.org/W4212987857","https://openalex.org/W2175082514","https://openalex.org/W151506147","https://openalex.org/W1842068753"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":8},{"year":2022,"cited_by_count":8},{"year":2021,"cited_by_count":13},{"year":2020,"cited_by_count":21},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":6},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":3}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
