{"id":"https://openalex.org/W2039086748","doi":"https://doi.org/10.1007/bf01589100","title":"Facets and lifting procedures for the set covering polytope","display_name":"Facets and lifting procedures for the set covering polytope","publication_year":1989,"publication_date":"1989-08-01","ids":{"openalex":"https://openalex.org/W2039086748","doi":"https://doi.org/10.1007/bf01589100","mag":"2039086748"},"language":"en","primary_location":{"id":"doi:10.1007/bf01589100","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01589100","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","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/A5038772495","display_name":"Paolo Nobili","orcid":"https://orcid.org/0000-0003-4016-853X"},"institutions":[{"id":"https://openalex.org/I4210162062","display_name":"Istituto di Analisi dei Sistemi ed Informatica Antonio Ruberti","ror":"https://ror.org/054ye0e45","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210155236","https://openalex.org/I4210162062"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Paolo Nobili","raw_affiliation_strings":["Istituto di Analisi dei Sistemi ed Informatica del CNR, Viale Manzoni 30, 00185, Roma, Italy","Istituto di Analisi dei Sistemi ed Informatica del CNR, Roma, Italy 00185#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto di Analisi dei Sistemi ed Informatica del CNR, Viale Manzoni 30, 00185, Roma, Italy","institution_ids":["https://openalex.org/I4210162062"]},{"raw_affiliation_string":"Istituto di Analisi dei Sistemi ed Informatica del CNR, Roma, Italy 00185#TAB#","institution_ids":["https://openalex.org/I4210162062"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000113494","display_name":"Antonio Sassano","orcid":"https://orcid.org/0000-0002-1458-2449"},"institutions":[{"id":"https://openalex.org/I4210162062","display_name":"Istituto di Analisi dei Sistemi ed Informatica Antonio Ruberti","ror":"https://ror.org/054ye0e45","country_code":"IT","type":"facility","lineage":["https://openalex.org/I4210155236","https://openalex.org/I4210162062"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Antonio Sassano","raw_affiliation_strings":["Istituto di Analisi dei Sistemi ed Informatica del CNR, Viale Manzoni 30, 00185, Roma, Italy","Istituto di Analisi dei Sistemi ed Informatica del CNR, Roma, Italy 00185#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Istituto di Analisi dei Sistemi ed Informatica del CNR, Viale Manzoni 30, 00185, Roma, Italy","institution_ids":["https://openalex.org/I4210162062"]},{"raw_affiliation_string":"Istituto di Analisi dei Sistemi ed Informatica del CNR, Roma, Italy 00185#TAB#","institution_ids":["https://openalex.org/I4210162062"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":49,"citation_normalized_percentile":{"value":0.17865264,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"45","issue":"1-3","first_page":"111","last_page":"137"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.996999979019165,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.996999979019165,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.996399998664856,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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/polytope","display_name":"Polytope","score":0.8569368124008179},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7351201772689819},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7007628679275513},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.6873068809509277},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.6646361351013184},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6178666353225708},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.5640424489974976},{"id":"https://openalex.org/keywords/knapsack-problem","display_name":"Knapsack problem","score":0.5542536973953247},{"id":"https://openalex.org/keywords/birkhoff-polytope","display_name":"Birkhoff polytope","score":0.499157190322876},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4912487864494324},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4672750234603882},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3609214127063751},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.2936601936817169},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.21662023663520813},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2114173173904419},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.15504533052444458},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1301320195198059}],"concepts":[{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8569368124008179},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7351201772689819},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7007628679275513},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.6873068809509277},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.6646361351013184},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6178666353225708},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.5640424489974976},{"id":"https://openalex.org/C113138325","wikidata":"https://www.wikidata.org/wiki/Q864457","display_name":"Knapsack problem","level":2,"score":0.5542536973953247},{"id":"https://openalex.org/C206304794","wikidata":"https://www.wikidata.org/wiki/Q4916482","display_name":"Birkhoff polytope","level":5,"score":0.499157190322876},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4912487864494324},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4672750234603882},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3609214127063751},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.2936601936817169},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.21662023663520813},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2114173173904419},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.15504533052444458},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1301320195198059},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/bf01589100","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01589100","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:hdl:10068/317813","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/317813","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Y - Progress report"},{"id":"pmh:oai:dspace.unitus.it:2067/51107","is_oa":false,"landing_page_url":"http://hdl.handle.net/2067/51107","pdf_url":null,"source":{"id":"https://openalex.org/S4377196492","display_name":"UnitusOpen (Tuscia University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138938424","host_organization_name":"Universit\u00e0 degli Studi della Tuscia","host_organization_lineage":["https://openalex.org/I138938424"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:iris.uniroma1.it:11573/440315","is_oa":false,"landing_page_url":"http://hdl.handle.net/11573/440315","pdf_url":null,"source":{"id":"https://openalex.org/S4377196107","display_name":"IRIS Research product catalog (Sapienza University of Rome)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/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/W65792763","https://openalex.org/W92491698","https://openalex.org/W1511862326","https://openalex.org/W1573881838","https://openalex.org/W1608080587","https://openalex.org/W1972106066","https://openalex.org/W1987163060","https://openalex.org/W1992197964","https://openalex.org/W1997644902","https://openalex.org/W2018145024","https://openalex.org/W2019181253","https://openalex.org/W2027996040","https://openalex.org/W2036575931","https://openalex.org/W2041989601","https://openalex.org/W2042649619","https://openalex.org/W2047773548","https://openalex.org/W2059909742","https://openalex.org/W2064366623","https://openalex.org/W2067846821","https://openalex.org/W2075339720","https://openalex.org/W2081595120","https://openalex.org/W2099103397","https://openalex.org/W2124452917","https://openalex.org/W2167539320","https://openalex.org/W3121285132","https://openalex.org/W6647003533"],"related_works":["https://openalex.org/W1967232806","https://openalex.org/W2082133472","https://openalex.org/W2319088853","https://openalex.org/W4214854099","https://openalex.org/W2137932663","https://openalex.org/W3012067785","https://openalex.org/W2583135805","https://openalex.org/W2069107464","https://openalex.org/W4288417334","https://openalex.org/W4243575619"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":2}],"updated_date":"2026-06-19T15:47:20.252518","created_date":"2025-10-10T00:00:00"}