{"id":"https://openalex.org/W3158156145","doi":"https://doi.org/10.1142/s1793830921501196","title":"Uniquely colorable graphs with equal chromatic and game chromatic numbers","display_name":"Uniquely colorable graphs with equal chromatic and game chromatic numbers","publication_year":2021,"publication_date":"2021-04-23","ids":{"openalex":"https://openalex.org/W3158156145","doi":"https://doi.org/10.1142/s1793830921501196","mag":"3158156145"},"language":"en","primary_location":{"id":"doi:10.1142/s1793830921501196","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921501196","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","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/A5037172032","display_name":"Naoki Matsumoto","orcid":"https://orcid.org/0000-0003-2861-7152"},"institutions":[{"id":"https://openalex.org/I203951103","display_name":"Keio University","ror":"https://ror.org/02kn6nx58","country_code":"JP","type":"education","lineage":["https://openalex.org/I203951103"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Naoki Matsumoto","raw_affiliation_strings":["Research Institute for Digital Media and Content, Keio University, Hiyoshi Campus West Annex 1, 2-1-1 Hiyoshihoncho, Kouhoku-ku, Yokohama, Kanagawa 223-8523, Japan"],"affiliations":[{"raw_affiliation_string":"Research Institute for Digital Media and Content, Keio University, Hiyoshi Campus West Annex 1, 2-1-1 Hiyoshihoncho, Kouhoku-ku, Yokohama, Kanagawa 223-8523, Japan","institution_ids":["https://openalex.org/I203951103"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5037172032"],"corresponding_institution_ids":["https://openalex.org/I203951103"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.08383041,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"14","issue":"03","first_page":null,"last_page":null},"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":0.9995999932289124,"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":0.9980999827384949,"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/chromatic-scale","display_name":"Chromatic scale","score":0.8465758562088013},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5284131765365601},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5251643061637878}],"concepts":[{"id":"https://openalex.org/C196956537","wikidata":"https://www.wikidata.org/wiki/Q202021","display_name":"Chromatic scale","level":2,"score":0.8465758562088013},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5284131765365601},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5251643061637878}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s1793830921501196","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s1793830921501196","pdf_url":null,"source":{"id":"https://openalex.org/S178434951","display_name":"Discrete Mathematics Algorithms and Applications","issn_l":"1793-8309","issn":["1793-8309","1793-8317"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete Mathematics, Algorithms and Applications","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W1516923601","https://openalex.org/W1987231262","https://openalex.org/W1988939889","https://openalex.org/W1989513471","https://openalex.org/W2011338393","https://openalex.org/W2107628600","https://openalex.org/W2144293155","https://openalex.org/W2295838866","https://openalex.org/W2562747661","https://openalex.org/W2966718972","https://openalex.org/W2971135581","https://openalex.org/W4213136504","https://openalex.org/W4231906363","https://openalex.org/W4232896595","https://openalex.org/W4238904555"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2142036596"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"we":[3],"characterize":[4],"uniquely":[5],"colorable":[6],"graphs":[7],"with":[8],"equal":[9],"chromatic":[10,13],"and":[11],"game":[12],"numbers.":[14]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}