{"id":"https://openalex.org/W2080358117","doi":"https://doi.org/10.1016/s1571-0653(04)00085-x","title":"Coloring the Vertices of a Graph With Measurable Sets in a Probability Space","display_name":"Coloring the Vertices of a Graph With Measurable Sets in a Probability Space","publication_year":2002,"publication_date":"2002-07-01","ids":{"openalex":"https://openalex.org/W2080358117","doi":"https://doi.org/10.1016/s1571-0653(04)00085-x","mag":"2080358117"},"language":"en","primary_location":{"id":"doi:10.1016/s1571-0653(04)00085-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s1571-0653(04)00085-x","pdf_url":null,"source":{"id":"https://openalex.org/S902237881","display_name":"Electronic Notes in Discrete Mathematics","issn_l":"1571-0653","issn":["1571-0653"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Discrete Mathematics","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/A5003281922","display_name":"Peter D. Johnson","orcid":"https://orcid.org/0000-0002-3933-4206"},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"P.D. Johnson","raw_affiliation_strings":["Department of Discrete and Statistical Sciences, 120 Math Annex, Auburn University, AL 36849, USA"],"affiliations":[{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, 120 Math Annex, Auburn University, AL 36849, USA","institution_ids":["https://openalex.org/I82497590"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002036421","display_name":"C.A. Rodger","orcid":null},"institutions":[{"id":"https://openalex.org/I82497590","display_name":"Auburn University","ror":"https://ror.org/02v80fc35","country_code":"US","type":"education","lineage":["https://openalex.org/I82497590"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"C.A. Rodger","raw_affiliation_strings":["Department of Discrete and Statistical Sciences, 120 Math Annex, Auburn University, AL 36849, USA"],"affiliations":[{"raw_affiliation_string":"Department of Discrete and Statistical Sciences, 120 Math Annex, Auburn University, AL 36849, USA","institution_ids":["https://openalex.org/I82497590"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5003281922"],"corresponding_institution_ids":["https://openalex.org/I82497590"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.15347028,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"11","issue":null,"first_page":"417","last_page":"424"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9351000189781189,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9351000189781189,"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/uncountable-set","display_name":"Uncountable set","score":0.7903483510017395},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7749451398849487},{"id":"https://openalex.org/keywords/chromatic-scale","display_name":"Chromatic scale","score":0.7709996700286865},{"id":"https://openalex.org/keywords/critical-graph","display_name":"Critical graph","score":0.7117782831192017},{"id":"https://openalex.org/keywords/friendship-graph","display_name":"Friendship graph","score":0.7060643434524536},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6707633137702942},{"id":"https://openalex.org/keywords/wheel-graph","display_name":"Wheel graph","score":0.6256909370422363},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5485483407974243},{"id":"https://openalex.org/keywords/windmill-graph","display_name":"Windmill graph","score":0.5370388031005859},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5109159350395203},{"id":"https://openalex.org/keywords/foster-graph","display_name":"Foster graph","score":0.4795681834220886},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.44160693883895874},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.23214077949523926},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.13461625576019287},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1344144642353058},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0610353946685791}],"concepts":[{"id":"https://openalex.org/C142399903","wikidata":"https://www.wikidata.org/wiki/Q1128796","display_name":"Uncountable set","level":3,"score":0.7903483510017395},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7749451398849487},{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.7709996700286865},{"id":"https://openalex.org/C167750561","wikidata":"https://www.wikidata.org/wiki/Q1789512","display_name":"Critical graph","level":5,"score":0.7117782831192017},{"id":"https://openalex.org/C70488441","wikidata":"https://www.wikidata.org/wiki/Q5504427","display_name":"Friendship graph","level":5,"score":0.7060643434524536},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6707633137702942},{"id":"https://openalex.org/C148364342","wikidata":"https://www.wikidata.org/wiki/Q948887","display_name":"Wheel graph","level":5,"score":0.6256909370422363},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5485483407974243},{"id":"https://openalex.org/C73380178","wikidata":"https://www.wikidata.org/wiki/Q8024306","display_name":"Windmill graph","level":5,"score":0.5370388031005859},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5109159350395203},{"id":"https://openalex.org/C68996132","wikidata":"https://www.wikidata.org/wiki/Q3115485","display_name":"Foster graph","level":5,"score":0.4795681834220886},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.44160693883895874},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.23214077949523926},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.13461625576019287},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1344144642353058},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0610353946685791},{"id":"https://openalex.org/C110729354","wikidata":"https://www.wikidata.org/wiki/Q185478","display_name":"Countable set","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s1571-0653(04)00085-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s1571-0653(04)00085-x","pdf_url":null,"source":{"id":"https://openalex.org/S902237881","display_name":"Electronic Notes in Discrete Mathematics","issn_l":"1571-0653","issn":["1571-0653"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Electronic Notes in Discrete Mathematics","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":3,"referenced_works":["https://openalex.org/W617577063","https://openalex.org/W1995168815","https://openalex.org/W2013530559"],"related_works":["https://openalex.org/W4205905853","https://openalex.org/W3123049420","https://openalex.org/W1989256506","https://openalex.org/W2080358117","https://openalex.org/W1508428315","https://openalex.org/W36984011","https://openalex.org/W2080547399","https://openalex.org/W2962679774","https://openalex.org/W2375375244","https://openalex.org/W1972004553"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
