{"id":"https://openalex.org/W2093744170","doi":"https://doi.org/10.1007/s10878-008-9152-2","title":"Minimum entropy coloring","display_name":"Minimum entropy coloring","publication_year":2008,"publication_date":"2008-04-03","ids":{"openalex":"https://openalex.org/W2093744170","doi":"https://doi.org/10.1007/s10878-008-9152-2","mag":"2093744170"},"language":"en","primary_location":{"id":"doi:10.1007/s10878-008-9152-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-008-9152-2","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","raw_type":"journal-article"},"type":"book-chapter","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/A5011369568","display_name":"Jean Cardinal","orcid":"https://orcid.org/0000-0002-2312-0967"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Jean Cardinal","raw_affiliation_strings":["Computer Science Dept., CP 212, Universit\u00e9 Libre de Bruxelles (U.L.B.), Boulevard du Triomphe, 1050, Brussels, Belgium","Universit\u00e9 libre de Bruxelles (U.L.B.)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Dept., CP 212, Universit\u00e9 Libre de Bruxelles (U.L.B.), Boulevard du Triomphe, 1050, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Universit\u00e9 libre de Bruxelles (U.L.B.)","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001781037","display_name":"Samuel Fiorini","orcid":"https://orcid.org/0000-0002-6845-9008"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":false,"raw_author_name":"Samuel Fiorini","raw_affiliation_strings":["Mathematics Dept., CP 216, Universit\u00e9 Libre de Bruxelles (U.L.B.), Boulevard du Triomphe, 1050, Brussels, Belgium","Universit\u00e9 libre de Bruxelles (U.L.B.)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematics Dept., CP 216, Universit\u00e9 Libre de Bruxelles (U.L.B.), Boulevard du Triomphe, 1050, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Universit\u00e9 libre de Bruxelles (U.L.B.)","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5038947183","display_name":"Gwena\u00ebl Joret","orcid":"https://orcid.org/0000-0002-7157-6694"},"institutions":[{"id":"https://openalex.org/I132053463","display_name":"Universit\u00e9 Libre de Bruxelles","ror":"https://ror.org/01r9htc13","country_code":"BE","type":"education","lineage":["https://openalex.org/I132053463"]}],"countries":["BE"],"is_corresponding":true,"raw_author_name":"Gwena\u00ebl Joret","raw_affiliation_strings":["Computer Science Dept., CP 212, Universit\u00e9 Libre de Bruxelles (U.L.B.), Boulevard du Triomphe, 1050, Brussels, Belgium","Universit\u00e9 libre de Bruxelles (U.L.B.)"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Computer Science Dept., CP 212, Universit\u00e9 Libre de Bruxelles (U.L.B.), Boulevard du Triomphe, 1050, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Universit\u00e9 libre de Bruxelles (U.L.B.)","institution_ids":["https://openalex.org/I132053463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5038947183"],"corresponding_institution_ids":["https://openalex.org/I132053463"],"apc_list":{"value":2990,"currency":"USD","value_usd":2990},"apc_paid":null,"fwci":9.0127,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.9755814,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"16","issue":"4","first_page":"361","last_page":"377"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9966999888420105,"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":0.9966999888420105,"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/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9843000173568726,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9812999963760376,"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/mathematics","display_name":"Mathematics","score":0.7289087176322937},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7111092805862427},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.5335652828216553},{"id":"https://openalex.org/keywords/brooks-theorem","display_name":"Brooks' theorem","score":0.5099362134933472},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4896596074104309},{"id":"https://openalex.org/keywords/chordal-graph","display_name":"Chordal graph","score":0.4830954074859619},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4698718190193176},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.4657025933265686},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.4652785658836365},{"id":"https://openalex.org/keywords/greedy-coloring","display_name":"Greedy coloring","score":0.46322086453437805},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.4391283392906189},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.429962694644928},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.30253374576568604},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.18190523982048035},{"id":"https://openalex.org/keywords/1-planar-graph","display_name":"1-planar graph","score":0.1447346806526184},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.08550724387168884},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08319693803787231}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7289087176322937},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7111092805862427},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.5335652828216553},{"id":"https://openalex.org/C51658606","wikidata":"https://www.wikidata.org/wiki/Q512897","display_name":"Brooks' theorem","level":5,"score":0.5099362134933472},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4896596074104309},{"id":"https://openalex.org/C160446614","wikidata":"https://www.wikidata.org/wiki/Q1322892","display_name":"Chordal graph","level":3,"score":0.4830954074859619},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4698718190193176},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.4657025933265686},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.4652785658836365},{"id":"https://openalex.org/C38767284","wikidata":"https://www.wikidata.org/wiki/Q5601715","display_name":"Greedy coloring","level":5,"score":0.46322086453437805},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.4391283392906189},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.429962694644928},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.30253374576568604},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.18190523982048035},{"id":"https://openalex.org/C102192266","wikidata":"https://www.wikidata.org/wiki/Q4545823","display_name":"1-planar graph","level":4,"score":0.1447346806526184},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.08550724387168884},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08319693803787231},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1007/s10878-008-9152-2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10878-008-9152-2","pdf_url":null,"source":{"id":"https://openalex.org/S107925523","display_name":"Journal of Combinatorial Optimization","issn_l":"1382-6905","issn":["1382-6905","1573-2886"],"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":"Journal of Combinatorial Optimization","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:spr:jcomop:v:16:y:2008:i:4:d:10.1007_s10878-008-9152-2","is_oa":false,"landing_page_url":"http://link.springer.com/10.1007/s10878-008-9152-2","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/52874","is_oa":false,"landing_page_url":"http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/52874","pdf_url":null,"source":{"id":"https://openalex.org/S4306401063","display_name":"D\u00e9p\u00f4t institutionnel de l'Universit\u00e9 libre de Bruxelles (Universit\u00e9 Libre de Bruxelles)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I132053463","host_organization_name":"Universit\u00e9 Libre de Bruxelles","host_organization_lineage":["https://openalex.org/I132053463"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of combinatorial optimization, 16 (4 SPEC. ISS.","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":30,"referenced_works":["https://openalex.org/W345637930","https://openalex.org/W1975670884","https://openalex.org/W1980392938","https://openalex.org/W2003616643","https://openalex.org/W2003902428","https://openalex.org/W2048568229","https://openalex.org/W2054420170","https://openalex.org/W2058408846","https://openalex.org/W2058422149","https://openalex.org/W2062819334","https://openalex.org/W2065534336","https://openalex.org/W2071801393","https://openalex.org/W2074512843","https://openalex.org/W2074937107","https://openalex.org/W2084318417","https://openalex.org/W2085716675","https://openalex.org/W2093532287","https://openalex.org/W2100440346","https://openalex.org/W2119336214","https://openalex.org/W2120623262","https://openalex.org/W2142858633","https://openalex.org/W2143474538","https://openalex.org/W2166759537","https://openalex.org/W2610183793","https://openalex.org/W2798588639","https://openalex.org/W3039948875","https://openalex.org/W4213266528","https://openalex.org/W4242192358","https://openalex.org/W4285719527","https://openalex.org/W4293860921"],"related_works":["https://openalex.org/W2156785727","https://openalex.org/W4324108759","https://openalex.org/W3213280609","https://openalex.org/W1985466492","https://openalex.org/W3129121342","https://openalex.org/W2006332923","https://openalex.org/W2608830549","https://openalex.org/W1983253459","https://openalex.org/W4225807786","https://openalex.org/W4221158113"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":1}],"updated_date":"2026-08-13T07:04:57.449891","created_date":"2025-10-10T00:00:00"}
