{"id":"https://openalex.org/W2114312806","doi":"https://doi.org/10.1016/0196-6774(85)90008-2","title":"Lower bounds for combinatorial problems on graphs","display_name":"Lower bounds for combinatorial problems on graphs","publication_year":1985,"publication_date":"1985-09-01","ids":{"openalex":"https://openalex.org/W2114312806","doi":"https://doi.org/10.1016/0196-6774(85)90008-2","mag":"2114312806"},"language":"en","primary_location":{"id":"doi:10.1016/0196-6774(85)90008-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0196-6774(85)90008-2","pdf_url":null,"source":{"id":"https://openalex.org/S110520077","display_name":"Journal of Algorithms","issn_l":"0196-6774","issn":["0196-6774","1090-2678"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Algorithms","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/A5086535576","display_name":"Hiroyuki Nakayama","orcid":"https://orcid.org/0000-0002-2030-9967"},"institutions":[{"id":"https://openalex.org/I4210133125","display_name":"Mitsubishi Electric (Japan)","ror":"https://ror.org/033y26782","country_code":"JP","type":"company","lineage":["https://openalex.org/I1306287861","https://openalex.org/I4210133125"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Hiroyuki Nakayama","raw_affiliation_strings":["Kyoto Works of Mitsubishi Electric Corp., Nagaokakyo, 617 Japan"],"affiliations":[{"raw_affiliation_string":"Kyoto Works of Mitsubishi Electric Corp., Nagaokakyo, 617 Japan","institution_ids":["https://openalex.org/I4210133125"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5033580185","display_name":"Takao Nishizeki","orcid":null},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Takao Nishizeki","raw_affiliation_strings":["Department of Electrical Communications, Faculty of Engineering, Tohoku University, Sendai 980, Japan","Department of Electrical Communications, Faculty of Engineering, Tohoku University, Sendai, 980 Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communications, Faculty of Engineering, Tohoku University, Sendai 980, Japan","institution_ids":["https://openalex.org/I201537933"]},{"raw_affiliation_string":"Department of Electrical Communications, Faculty of Engineering, Tohoku University, Sendai, 980 Japan","institution_ids":["https://openalex.org/I201537933"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5111983740","display_name":"Nobuji Saito","orcid":null},"institutions":[{"id":"https://openalex.org/I201537933","display_name":"Tohoku University","ror":"https://ror.org/01dq60k83","country_code":"JP","type":"education","lineage":["https://openalex.org/I201537933"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Nobuji Saito","raw_affiliation_strings":["Department of Electrical Communications, Faculty of Engineering, Tohoku University, Sendai 980, Japan","Department of Electrical Communications, Faculty of Engineering, Tohoku University, Sendai, 980 Japan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Communications, Faculty of Engineering, Tohoku University, Sendai 980, Japan","institution_ids":["https://openalex.org/I201537933"]},{"raw_affiliation_string":"Department of Electrical Communications, Faculty of Engineering, Tohoku University, Sendai, 980 Japan","institution_ids":["https://openalex.org/I201537933"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5086535576"],"corresponding_institution_ids":["https://openalex.org/I4210133125"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.27281055,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"6","issue":"3","first_page":"393","last_page":"399"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9991000294685364,"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":0.9991000294685364,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9955000281333923,"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/T12292","display_name":"Graph Theory and Algorithms","score":0.991599977016449,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/combinatorics","display_name":"Combinatorics","score":0.8068435192108154},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7309038639068604},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6047570705413818},{"id":"https://openalex.org/keywords/travelling-salesman-problem","display_name":"Travelling salesman problem","score":0.5543071627616882},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.5038458704948425},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4839954376220703},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4785207509994507},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.47689345479011536},{"id":"https://openalex.org/keywords/induced-subgraph","display_name":"Induced subgraph","score":0.4424205422401428},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4303615093231201},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.1587061583995819},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.13578686118125916},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.08101624250411987},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05852892994880676}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8068435192108154},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7309038639068604},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6047570705413818},{"id":"https://openalex.org/C175859090","wikidata":"https://www.wikidata.org/wiki/Q322212","display_name":"Travelling salesman problem","level":2,"score":0.5543071627616882},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.5038458704948425},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4839954376220703},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4785207509994507},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.47689345479011536},{"id":"https://openalex.org/C2778012994","wikidata":"https://www.wikidata.org/wiki/Q24743362","display_name":"Induced subgraph","level":4,"score":0.4424205422401428},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4303615093231201},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.1587061583995819},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.13578686118125916},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.08101624250411987},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05852892994880676},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0196-6774(85)90008-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0196-6774(85)90008-2","pdf_url":null,"source":{"id":"https://openalex.org/S110520077","display_name":"Journal of Algorithms","issn_l":"0196-6774","issn":["0196-6774","1090-2678"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319955","host_organization_name":"Academic Press","host_organization_lineage":["https://openalex.org/P4310319955","https://openalex.org/P4310320990"],"host_organization_lineage_names":["Academic Press","Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Algorithms","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","score":0.5299999713897705,"id":"https://metadata.un.org/sdg/16"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1609370892","https://openalex.org/W1662824729","https://openalex.org/W2015190299","https://openalex.org/W2044850435","https://openalex.org/W2045027193","https://openalex.org/W2059401572","https://openalex.org/W2064968744","https://openalex.org/W2080193497","https://openalex.org/W2084423058","https://openalex.org/W2125690626","https://openalex.org/W2150121468","https://openalex.org/W2502191677","https://openalex.org/W2920901117"],"related_works":["https://openalex.org/W1525389557","https://openalex.org/W2361554335","https://openalex.org/W2359992618","https://openalex.org/W2054495636","https://openalex.org/W2164188042","https://openalex.org/W4306878646","https://openalex.org/W2046552997","https://openalex.org/W2913191894","https://openalex.org/W4286911546","https://openalex.org/W4290190164"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
