{"id":"https://openalex.org/W2019979050","doi":"https://doi.org/10.1016/0012-365x(81)90164-3","title":"A lower estimate for the achromatic number of irreducible graphs","display_name":"A lower estimate for the achromatic number of irreducible graphs","publication_year":1981,"publication_date":"1981-01-01","ids":{"openalex":"https://openalex.org/W2019979050","doi":"https://doi.org/10.1016/0012-365x(81)90164-3","mag":"2019979050"},"language":"en","primary_location":{"id":"doi:10.1016/0012-365x(81)90164-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(81)90164-3","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/A5111703905","display_name":"Attila M\u00e1t\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I83041322","display_name":"Brooklyn College","ror":"https://ror.org/019k4jq75","country_code":"US","type":"education","lineage":["https://openalex.org/I83041322"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Attila M\u00e1t\u00e9","raw_affiliation_strings":["Department of Mathematics, Brooklyn College (CUNY), Bedford Avenue and Avenue H, Brooklyn, New York 11210, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Brooklyn College (CUNY), Bedford Avenue and Avenue H, Brooklyn, New York 11210, USA","institution_ids":["https://openalex.org/I83041322"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111703905"],"corresponding_institution_ids":["https://openalex.org/I83041322"],"apc_list":{"value":3000,"currency":"USD","value_usd":3000},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":16,"citation_normalized_percentile":{"value":0.16149596,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":97},"biblio":{"volume":"33","issue":"2","first_page":"171","last_page":"183"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9988999962806702,"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":0.9988999962806702,"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":0.9986000061035156,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9850999712944031,"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/mathematics","display_name":"Mathematics","score":0.8699994087219238},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8210400342941284},{"id":"https://openalex.org/keywords/achromatic-lens","display_name":"Achromatic lens","score":0.6248965859413147},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5228862166404724},{"id":"https://openalex.org/keywords/wheel-graph","display_name":"Wheel graph","score":0.5133633017539978},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4968624413013458},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4860720932483673},{"id":"https://openalex.org/keywords/graph-power","display_name":"Graph power","score":0.2492673099040985},{"id":"https://openalex.org/keywords/line-graph","display_name":"Line graph","score":0.15487000346183777}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8699994087219238},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8210400342941284},{"id":"https://openalex.org/C121535716","wikidata":"https://www.wikidata.org/wiki/Q340600","display_name":"Achromatic lens","level":2,"score":0.6248965859413147},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5228862166404724},{"id":"https://openalex.org/C148364342","wikidata":"https://www.wikidata.org/wiki/Q948887","display_name":"Wheel graph","level":5,"score":0.5133633017539978},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4968624413013458},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4860720932483673},{"id":"https://openalex.org/C149530733","wikidata":"https://www.wikidata.org/wiki/Q5597091","display_name":"Graph power","level":4,"score":0.2492673099040985},{"id":"https://openalex.org/C203776342","wikidata":"https://www.wikidata.org/wiki/Q1378376","display_name":"Line graph","level":3,"score":0.15487000346183777},{"id":"https://openalex.org/C1276947","wikidata":"https://www.wikidata.org/wiki/Q333","display_name":"Astronomy","level":1,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0012-365x(81)90164-3","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0012-365x(81)90164-3","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":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W1996516812","https://openalex.org/W2090738996","https://openalex.org/W2156563793"],"related_works":["https://openalex.org/W2788497138","https://openalex.org/W2020965264","https://openalex.org/W3084515308","https://openalex.org/W2049354090","https://openalex.org/W4287668294","https://openalex.org/W2162342972","https://openalex.org/W2393920765","https://openalex.org/W2152957801","https://openalex.org/W2025975583","https://openalex.org/W2157163513"],"abstract_inverted_index":null,"counts_by_year":[{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}