{"id":"https://openalex.org/W2116388786","doi":"https://doi.org/10.1007/3-540-54967-6_75","title":"A theorem on the approximation of set cover and vertex cover","display_name":"A theorem on the approximation of set cover and vertex cover","publication_year":1991,"publication_date":"1991-01-01","ids":{"openalex":"https://openalex.org/W2116388786","doi":"https://doi.org/10.1007/3-540-54967-6_75","mag":"2116388786"},"language":"en","primary_location":{"id":"doi:10.1007/3-540-54967-6_75","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-54967-6_75","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"conference-paper","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://basepub.dauphine.fr/handle/123456789/5784","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111473903","display_name":"Vang\u00e9lis Th. Paschos","orcid":null},"institutions":[{"id":"https://openalex.org/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I277688954","display_name":"Universit\u00e9 Paris-Saclay","ror":"https://ror.org/03xjwb503","country_code":"FR","type":"education","lineage":["https://openalex.org/I277688954"]},{"id":"https://openalex.org/I4210144804","display_name":"Laboratoire de Recherche en Informatique","ror":"https://ror.org/04e3ktk27","country_code":"FR","type":"facility","lineage":["https://openalex.org/I102197404","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I4210144804","https://openalex.org/I4210159245"]},{"id":"https://openalex.org/I51101395","display_name":"Universit\u00e9 Paris 1 Panth\u00e9on-Sorbonne","ror":"https://ror.org/002t25c44","country_code":"FR","type":"education","lineage":["https://openalex.org/I51101395"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"V. Th. Paschos","raw_affiliation_strings":["CERMSEM, Universit\u00e9 de Paris I-Sorbonne, 12 place du Panth\u00e9on, 75005, Paris","LRI, Universit\u00e9 de Paris XI, B\u00e2t. 490, 91405, Orsay Cedex","CERMSEM, Universit\u00e9 de Paris I-Sorbonne, Paris","LRI, Universit\u00e9 de Paris XI, Orsay Cedex"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CERMSEM, Universit\u00e9 de Paris I-Sorbonne, 12 place du Panth\u00e9on, 75005, Paris","institution_ids":["https://openalex.org/I51101395"]},{"raw_affiliation_string":"LRI, Universit\u00e9 de Paris XI, B\u00e2t. 490, 91405, Orsay Cedex","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I277688954","https://openalex.org/I4210144804"]},{"raw_affiliation_string":"CERMSEM, Universit\u00e9 de Paris I-Sorbonne, Paris","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I51101395"]},{"raw_affiliation_string":"LRI, Universit\u00e9 de Paris XI, Orsay Cedex","institution_ids":["https://openalex.org/I204730241","https://openalex.org/I277688954","https://openalex.org/I4210144804"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5111473903"],"corresponding_institution_ids":["https://openalex.org/I204730241","https://openalex.org/I277688954","https://openalex.org/I4210144804","https://openalex.org/I51101395"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.20122574,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"278","last_page":"287"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9945999979972839,"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":0.9945999979972839,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9940999746322632,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T11106","display_name":"Data Management and Algorithms","score":0.9891999959945679,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/vertex-cover","display_name":"Vertex cover","score":0.9018810391426086},{"id":"https://openalex.org/keywords/cover","display_name":"Cover (algebra)","score":0.8136187791824341},{"id":"https://openalex.org/keywords/edge-cover","display_name":"Edge cover","score":0.7662842273712158},{"id":"https://openalex.org/keywords/set-cover-problem","display_name":"Set cover problem","score":0.6982235312461853},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6450849771499634},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5591591000556946},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5489932298660278},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5301768779754639},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5191749334335327},{"id":"https://openalex.org/keywords/approximation-algorithm","display_name":"Approximation algorithm","score":0.4731753170490265},{"id":"https://openalex.org/keywords/feedback-vertex-set","display_name":"Feedback vertex set","score":0.4456181228160858},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.43281638622283936},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2823668122291565},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.2661348581314087},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.0893804132938385},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.08400920033454895}],"concepts":[{"id":"https://openalex.org/C40687702","wikidata":"https://www.wikidata.org/wiki/Q11515519","display_name":"Vertex cover","level":3,"score":0.9018810391426086},{"id":"https://openalex.org/C2780428219","wikidata":"https://www.wikidata.org/wiki/Q16952335","display_name":"Cover (algebra)","level":2,"score":0.8136187791824341},{"id":"https://openalex.org/C17762858","wikidata":"https://www.wikidata.org/wiki/Q594001","display_name":"Edge cover","level":3,"score":0.7662842273712158},{"id":"https://openalex.org/C100808899","wikidata":"https://www.wikidata.org/wiki/Q1192100","display_name":"Set cover problem","level":3,"score":0.6982235312461853},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6450849771499634},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5591591000556946},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5489932298660278},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5301768779754639},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5191749334335327},{"id":"https://openalex.org/C148764684","wikidata":"https://www.wikidata.org/wiki/Q621751","display_name":"Approximation algorithm","level":2,"score":0.4731753170490265},{"id":"https://openalex.org/C28723256","wikidata":"https://www.wikidata.org/wiki/Q1400918","display_name":"Feedback vertex set","level":4,"score":0.4456181228160858},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.43281638622283936},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2823668122291565},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.2661348581314087},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0893804132938385},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.08400920033454895},{"id":"https://openalex.org/C78519656","wikidata":"https://www.wikidata.org/wiki/Q101333","display_name":"Mechanical engineering","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/3-540-54967-6_75","is_oa":false,"landing_page_url":"https://doi.org/10.1007/3-540-54967-6_75","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:basepub.dauphine.fr:123456789/5784","is_oa":true,"landing_page_url":"https://basepub.dauphine.fr/handle/123456789/5784","pdf_url":null,"source":{"id":"https://openalex.org/S4306401007","display_name":"Base Institutionnelle de Recherche de l'universit\u00e9 Paris-Dauphine (BIRD) (University Paris-Dauphine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102197404","host_organization_name":"Universit\u00e9 Paris-Sud","host_organization_lineage":["https://openalex.org/I102197404"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Communication / Conf\u00e9rence"}],"best_oa_location":{"id":"pmh:oai:basepub.dauphine.fr:123456789/5784","is_oa":true,"landing_page_url":"https://basepub.dauphine.fr/handle/123456789/5784","pdf_url":null,"source":{"id":"https://openalex.org/S4306401007","display_name":"Base Institutionnelle de Recherche de l'universit\u00e9 Paris-Dauphine (BIRD) (University Paris-Dauphine)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I102197404","host_organization_name":"Universit\u00e9 Paris-Sud","host_organization_lineage":["https://openalex.org/I102197404"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Communication / Conf\u00e9rence"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":6,"referenced_works":["https://openalex.org/W1530753374","https://openalex.org/W2011039300","https://openalex.org/W2053913299","https://openalex.org/W2069323107","https://openalex.org/W2577446513","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W2112112676","https://openalex.org/W2108073487","https://openalex.org/W2029933769","https://openalex.org/W1966805076","https://openalex.org/W2079730540","https://openalex.org/W1558145674","https://openalex.org/W1502438505","https://openalex.org/W2551034790","https://openalex.org/W2963350429","https://openalex.org/W4302317037"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-29T14:22:42.915294","created_date":"2025-10-10T00:00:00"}
