{"id":"https://openalex.org/W1967819823","doi":"https://doi.org/10.1016/s0304-3975(00)00115-8","title":"Some arithmetical restatements of the Four Color Conjecture","display_name":"Some arithmetical restatements of the Four Color Conjecture","publication_year":2001,"publication_date":"2001-04-01","ids":{"openalex":"https://openalex.org/W1967819823","doi":"https://doi.org/10.1016/s0304-3975(00)00115-8","mag":"1967819823"},"language":"en","primary_location":{"id":"doi:10.1016/s0304-3975(00)00115-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(00)00115-8","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","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/A5053052255","display_name":"Yuri Matiyasevich","orcid":"https://orcid.org/0000-0001-7046-3746"},"institutions":[{"id":"https://openalex.org/I2800906181","display_name":"St. Petersburg Department of Steklov Institute of Mathematics","ror":"https://ror.org/030h9s280","country_code":"RU","type":"facility","lineage":["https://openalex.org/I1313323035","https://openalex.org/I2800906181","https://openalex.org/I4210124601"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Yuri Matiyasevich","raw_affiliation_strings":["Steklov Institute of Mathematics at St.Petersburg, St.Petersburg, Russia#TAB#"],"affiliations":[{"raw_affiliation_string":"Steklov Institute of Mathematics at St.Petersburg, St.Petersburg, Russia#TAB#","institution_ids":["https://openalex.org/I2800906181"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5053052255"],"corresponding_institution_ids":["https://openalex.org/I2800906181"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":2.5218,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.86621942,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"257","issue":"1-2","first_page":"167","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11428","display_name":"Advanced Mathematical Identities","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/T10948","display_name":"Advanced Combinatorial Mathematics","score":0.9994999766349792,"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/T11166","display_name":"Analytic Number Theory Research","score":0.9991999864578247,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"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/arithmetic-function","display_name":"Arithmetic function","score":0.8704972267150879},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.6906318068504333},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5628040432929993},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.4113856554031372},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.34821754693984985},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3161488175392151}],"concepts":[{"id":"https://openalex.org/C112343008","wikidata":"https://www.wikidata.org/wiki/Q140744","display_name":"Arithmetic function","level":2,"score":0.8704972267150879},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.6906318068504333},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5628040432929993},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.4113856554031372},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.34821754693984985},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3161488175392151}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/s0304-3975(00)00115-8","is_oa":false,"landing_page_url":"https://doi.org/10.1016/s0304-3975(00)00115-8","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"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":"Theoretical Computer Science","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":26,"referenced_works":["https://openalex.org/W146642371","https://openalex.org/W150784343","https://openalex.org/W287164781","https://openalex.org/W1521990134","https://openalex.org/W1566410171","https://openalex.org/W1656795039","https://openalex.org/W2016293946","https://openalex.org/W2018339436","https://openalex.org/W2028907080","https://openalex.org/W2046114298","https://openalex.org/W2052078837","https://openalex.org/W2063488958","https://openalex.org/W2066834925","https://openalex.org/W2085348754","https://openalex.org/W2104990336","https://openalex.org/W2107308446","https://openalex.org/W2114804254","https://openalex.org/W2131433460","https://openalex.org/W2148360835","https://openalex.org/W2327122380","https://openalex.org/W2478789890","https://openalex.org/W4238357211","https://openalex.org/W4247355201","https://openalex.org/W4256369010","https://openalex.org/W4301890399","https://openalex.org/W6605985878"],"related_works":["https://openalex.org/W2000071592","https://openalex.org/W1660676450","https://openalex.org/W1586473494","https://openalex.org/W2382181079","https://openalex.org/W2125955092","https://openalex.org/W2119550093","https://openalex.org/W2074726530","https://openalex.org/W582971654","https://openalex.org/W2861978802","https://openalex.org/W4302408721"],"abstract_inverted_index":null,"counts_by_year":[{"year":2022,"cited_by_count":1},{"year":2019,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
