{"id":"https://openalex.org/W2065534336","doi":"https://doi.org/10.1016/s0012-365x(03)00184-5","title":"On the equality of the partial Grundy and upper ochromatic numbers of graphs","display_name":"On the equality of the partial Grundy and upper ochromatic numbers of graphs","publication_year":2003,"publication_date":"2003-09-16","ids":{"openalex":"https://openalex.org/W2065534336","doi":"https://doi.org/10.1016/s0012-365x(03)00184-5","mag":"2065534336"},"language":"en","primary_location":{"id":"doi:10.1016/s0012-365x(03)00184-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(03)00184-5","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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":"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/A5077107126","display_name":"Paul Erd\u0151s","orcid":null},"institutions":[{"id":"https://openalex.org/I7597260","display_name":"Hungarian Academy of Sciences","ror":"https://ror.org/02ks8qq67","country_code":"HU","type":"government","lineage":["https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Paul Erd\u00f6s","raw_affiliation_strings":["Hungarian Academy of Sciences, Mathematical Institute, Budapest, Hungary","Hungarian Academy of Sciences , Mathematical Institute , budapest, Hungary"],"affiliations":[{"raw_affiliation_string":"Hungarian Academy of Sciences, Mathematical Institute, Budapest, Hungary","institution_ids":["https://openalex.org/I7597260"]},{"raw_affiliation_string":"Hungarian Academy of Sciences , Mathematical Institute , budapest, Hungary","institution_ids":["https://openalex.org/I7597260"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5111934510","display_name":"Stephen T. Hedetniemi","orcid":null},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Stephen T. Hedetniemi","raw_affiliation_strings":["Department of Computer Science, Clemson University, Clemson, SC 29634, USA","Department of Computer Science, Clemson University, Clemson, SC 29634 USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Clemson University, Clemson, SC 29634, USA","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Department of Computer Science, Clemson University, Clemson, SC 29634 USA","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032479312","display_name":"Renu Laskar","orcid":null},"institutions":[{"id":"https://openalex.org/I8078737","display_name":"Clemson University","ror":"https://ror.org/037s24f05","country_code":"US","type":"education","lineage":["https://openalex.org/I8078737"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Renu C. Laskar","raw_affiliation_strings":["Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, USA","Department of Mathematical Sciences, Clemson University Clemson, SC 29634, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University, Clemson, SC 29634, USA","institution_ids":["https://openalex.org/I8078737"]},{"raw_affiliation_string":"Department of Mathematical Sciences, Clemson University Clemson, SC 29634, USA","institution_ids":["https://openalex.org/I8078737"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5085219080","display_name":"Geert Prins","orcid":null},"institutions":[{"id":"https://openalex.org/I185443292","display_name":"Wayne State University","ror":"https://ror.org/01070mq45","country_code":"US","type":"education","lineage":["https://openalex.org/I185443292"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Geert C.E. Prins","raw_affiliation_strings":["Department of Mathematics, Wayne State University, Detroit, MI 48202, USA","Department of Mathematics, Wayne State University Detroit, MI 48202, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Wayne State University, Detroit, MI 48202, USA","institution_ids":["https://openalex.org/I185443292"]},{"raw_affiliation_string":"Department of Mathematics, Wayne State University Detroit, MI 48202, USA","institution_ids":["https://openalex.org/I185443292"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111934510"],"corresponding_institution_ids":["https://openalex.org/I8078737"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.7332,"has_fulltext":false,"cited_by_count":39,"citation_normalized_percentile":{"value":0.717169,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"272","issue":"1","first_page":"53","last_page":"64"},"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9965999722480774,"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":0.9925000071525574,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.9004583358764648},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7949132919311523},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.7374891638755798},{"id":"https://openalex.org/keywords/fractional-coloring","display_name":"Fractional coloring","score":0.5867490172386169},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5860227346420288},{"id":"https://openalex.org/keywords/greedy-coloring","display_name":"Greedy coloring","score":0.5516926050186157},{"id":"https://openalex.org/keywords/complete-coloring","display_name":"Complete coloring","score":0.5283955931663513},{"id":"https://openalex.org/keywords/edge-coloring","display_name":"Edge coloring","score":0.4519316256046295},{"id":"https://openalex.org/keywords/list-coloring","display_name":"List coloring","score":0.42820584774017334},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.40986329317092896},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4073626399040222},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.11220559477806091},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.051525771617889404}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9004583358764648},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7949132919311523},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.7374891638755798},{"id":"https://openalex.org/C158319403","wikidata":"https://www.wikidata.org/wiki/Q5477527","display_name":"Fractional coloring","level":5,"score":0.5867490172386169},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5860227346420288},{"id":"https://openalex.org/C38767284","wikidata":"https://www.wikidata.org/wiki/Q5601715","display_name":"Greedy coloring","level":5,"score":0.5516926050186157},{"id":"https://openalex.org/C21642379","wikidata":"https://www.wikidata.org/wiki/Q3342988","display_name":"Complete coloring","level":5,"score":0.5283955931663513},{"id":"https://openalex.org/C123809776","wikidata":"https://www.wikidata.org/wiki/Q1050972","display_name":"Edge coloring","level":5,"score":0.4519316256046295},{"id":"https://openalex.org/C199594403","wikidata":"https://www.wikidata.org/wiki/Q1130404","display_name":"List coloring","level":5,"score":0.42820584774017334},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.40986329317092896},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4073626399040222},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.11220559477806091},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.051525771617889404}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0012-365x(03)00184-5","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0012-365x(03)00184-5","pdf_url":null,"source":{"id":"https://openalex.org/S18902827","display_name":"Discrete Mathematics","issn_l":"0012-365X","issn":["0012-365X","1872-681X"],"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":"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":25,"referenced_works":["https://openalex.org/W56095100","https://openalex.org/W149461665","https://openalex.org/W594514321","https://openalex.org/W634086385","https://openalex.org/W1484040084","https://openalex.org/W1530753374","https://openalex.org/W1970349614","https://openalex.org/W1975068100","https://openalex.org/W1980672031","https://openalex.org/W1980678447","https://openalex.org/W1999667176","https://openalex.org/W2019615117","https://openalex.org/W2059437065","https://openalex.org/W2067264828","https://openalex.org/W2083271579","https://openalex.org/W2083692180","https://openalex.org/W2088813674","https://openalex.org/W2108301529","https://openalex.org/W2133732980","https://openalex.org/W2141749671","https://openalex.org/W2319043422","https://openalex.org/W2322463788","https://openalex.org/W2577446513","https://openalex.org/W6602221290","https://openalex.org/W6635186639"],"related_works":["https://openalex.org/W4311345810","https://openalex.org/W4291316360","https://openalex.org/W4297911588","https://openalex.org/W1995859989","https://openalex.org/W3169197204","https://openalex.org/W2793500002","https://openalex.org/W2046652778","https://openalex.org/W2380525562","https://openalex.org/W2385428710","https://openalex.org/W4229747356"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2025-10-10T00:00:00"}
