{"id":"https://openalex.org/W2142858633","doi":"https://doi.org/10.1109/isit.2004.1365077","title":"On minimum entropy graph colorings","display_name":"On minimum entropy graph colorings","publication_year":2004,"publication_date":"2004-12-23","ids":{"openalex":"https://openalex.org/W2142858633","doi":"https://doi.org/10.1109/isit.2004.1365077","mag":"2142858633"},"language":"en","primary_location":{"id":"doi:10.1109/isit.2004.1365077","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365077","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"},"type":"conference-paper","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":"J. Cardinal","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles, Brussels, Belgium","Univ. Libre de Bruxelles, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Univ. Libre de Bruxelles, Belgium","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":"S. Fiorini","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles, Brussels, Belgium","Univ. Libre de Bruxelles, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Univ. Libre de Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113873259","display_name":"Gilles Van Assche","orcid":"https://orcid.org/0000-0001-5003-8937"},"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":"G. Van Assche","raw_affiliation_strings":["Universit\u00e9 Libre de Bruxelles, Brussels, Belgium","Univ. Libre de Bruxelles, Belgium"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Libre de Bruxelles, Brussels, Belgium","institution_ids":["https://openalex.org/I132053463"]},{"raw_affiliation_string":"Univ. Libre de Bruxelles, Belgium","institution_ids":["https://openalex.org/I132053463"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I132053463"],"apc_list":null,"apc_paid":null,"fwci":0.8056,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.74366022,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"40","last_page":"40"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9746999740600586,"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"}},"topics":[{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9746999740600586,"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"}},{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9710999727249146,"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/T12162","display_name":"Cellular Automata and Applications","score":0.9635000228881836,"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/combinatorics","display_name":"Combinatorics","score":0.7178758382797241},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.658637285232544},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.5420598983764648},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4771418273448944},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.4597795605659485},{"id":"https://openalex.org/keywords/maximum-entropy-probability-distribution","display_name":"Maximum entropy probability distribution","score":0.45737624168395996},{"id":"https://openalex.org/keywords/graph-coloring","display_name":"Graph coloring","score":0.4232107996940613},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3378961682319641},{"id":"https://openalex.org/keywords/principle-of-maximum-entropy","display_name":"Principle of maximum entropy","score":0.27087125182151794},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.0832013189792633},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06493440270423889}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7178758382797241},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.658637285232544},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.5420598983764648},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4771418273448944},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.4597795605659485},{"id":"https://openalex.org/C60507348","wikidata":"https://www.wikidata.org/wiki/Q6795892","display_name":"Maximum entropy probability distribution","level":3,"score":0.45737624168395996},{"id":"https://openalex.org/C76946457","wikidata":"https://www.wikidata.org/wiki/Q504843","display_name":"Graph coloring","level":3,"score":0.4232107996940613},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3378961682319641},{"id":"https://openalex.org/C9679016","wikidata":"https://www.wikidata.org/wiki/Q1417473","display_name":"Principle of maximum entropy","level":2,"score":0.27087125182151794},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0832013189792633},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06493440270423889},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/isit.2004.1365077","is_oa":false,"landing_page_url":"https://doi.org/10.1109/isit.2004.1365077","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Symposium onInformation Theory, 2004. ISIT 2004. Proceedings.","raw_type":"proceedings-article"},{"id":"pmh:oai:dipot.ulb.ac.be:2013/70756","is_oa":false,"landing_page_url":"https://dipot.ulb.ac.be/dspace/bitstream/2013/70756/1/70756.pdf","pdf_url":"https://dipot.ulb.ac.be/dspace/bitstream/2013/70756/1/70756.pdf","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":"Proceedings (IEEE International Symposium on Information Theory. Print)","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.10.778","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.10.778","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.ulb.ac.be/di/scsi/jcardin/CFVA_isit2004.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":5,"referenced_works":["https://openalex.org/W2003616643","https://openalex.org/W2119336214","https://openalex.org/W2120623262","https://openalex.org/W2146778221","https://openalex.org/W2166759537"],"related_works":["https://openalex.org/W2181667894","https://openalex.org/W2105223880","https://openalex.org/W3178681420","https://openalex.org/W2970690932","https://openalex.org/W3009809911","https://openalex.org/W2546709002","https://openalex.org/W2095456658","https://openalex.org/W3041490575","https://openalex.org/W1583182756","https://openalex.org/W2910696199"],"abstract_inverted_index":{"This":[0],"paper":[1],"presents":[2],"the":[3,6,13,26,35,40,73,78,85,105],"study":[4],"of":[5,8,15,31,39,88,112],"properties":[7],"graph":[9,79],"colorings":[10,60],"that":[11,57,97],"minimize":[12],"quantity":[14],"color":[16],"information":[17,49],"with":[18,47],"respect":[19],"to":[20,63],"a":[21,67,91],"given":[22],"probability":[23],"distribution":[24,74],"on":[25],"vertices.":[27],"The":[28],"minimum":[29,58,68,86,92],"entropy":[30,42,59,93],"any":[32],"coloring":[33,70],"is":[34,71,75,80],"chromatic":[36,41,106],"entropy.":[37],"Applications":[38],"are":[43,61],"found":[44],"in":[45,90],"coding":[46],"side":[48],"and":[50,77,95],"digital":[51],"image":[52],"partition":[53],"coding.":[54],"We":[55,82],"show":[56,96],"hard":[62],"compute":[64],"even":[65,108],"if":[66],"cardinality":[69],"given,":[72],"uniform,":[76],"planar.":[81],"also":[83],"consider":[84],"number":[87,99],"colors":[89],"coloring,":[94],"this":[98],"can":[100],"be":[101],"arbitrarily":[102],"larger":[103],"than":[104],"number,":[107],"for":[109],"restricted":[110],"families":[111],"uniformly":[113],"weighted":[114],"graphs.":[115]},"counts_by_year":[{"year":2023,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-08-11T07:18:39.950985","created_date":"2025-10-10T00:00:00"}