{"id":"https://openalex.org/W4301508179","doi":"https://doi.org/10.1007/978-0-387-74759-0_289","title":"Integer Programming Duality","display_name":"Integer Programming Duality","publication_year":2008,"publication_date":"2008-01-01","ids":{"openalex":"https://openalex.org/W4301508179","doi":"https://doi.org/10.1007/978-0-387-74759-0_289"},"language":"en","primary_location":{"id":"doi:10.1007/978-0-387-74759-0_289","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_289","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","raw_type":"book-chapter"},"type":"book-chapter","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/A5059159928","display_name":"John Hooker","orcid":"https://orcid.org/0000-0003-3169-1871"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"J. N. Hooker","raw_affiliation_strings":["Graduate School of Industrial Admin., Carnegie Mellon University, Pittsburgh, USA"],"affiliations":[{"raw_affiliation_string":"Graduate School of Industrial Admin., Carnegie Mellon University, Pittsburgh, USA","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5059159928"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.5347148,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"1657","last_page":"1667"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9979000091552734,"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":0.9979000091552734,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9959999918937683,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9955999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/duality","display_name":"Duality (order theory)","score":0.6490257382392883},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5147924423217773},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.44930440187454224},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3368843197822571},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.30845770239830017},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.15618345141410828}],"concepts":[{"id":"https://openalex.org/C2778023678","wikidata":"https://www.wikidata.org/wiki/Q554403","display_name":"Duality (order theory)","level":2,"score":0.6490257382392883},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5147924423217773},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.44930440187454224},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3368843197822571},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.30845770239830017},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.15618345141410828}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-0-387-74759-0_289","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-0-387-74759-0_289","pdf_url":null,"source":{"id":"https://openalex.org/S4306509378","display_name":"Encyclopedia of Optimization","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":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Encyclopedia of Optimization","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W200815095","https://openalex.org/W258481170","https://openalex.org/W1972497158","https://openalex.org/W1978701215","https://openalex.org/W1981134802","https://openalex.org/W2008131758","https://openalex.org/W2027551342","https://openalex.org/W2029880758","https://openalex.org/W2053301303","https://openalex.org/W2068913356","https://openalex.org/W2069277547","https://openalex.org/W2073039422","https://openalex.org/W2075451161","https://openalex.org/W2080875922","https://openalex.org/W2145549086","https://openalex.org/W2146841674","https://openalex.org/W2166009425","https://openalex.org/W2505968561","https://openalex.org/W2604578535","https://openalex.org/W4232237275","https://openalex.org/W4236384091","https://openalex.org/W4242130683","https://openalex.org/W4301808069"],"related_works":["https://openalex.org/W2049799979","https://openalex.org/W1605146206","https://openalex.org/W1998719458","https://openalex.org/W2272185638","https://openalex.org/W2057800505","https://openalex.org/W1975406009","https://openalex.org/W2952865022","https://openalex.org/W2088567516","https://openalex.org/W1989995130","https://openalex.org/W601341950"],"abstract_inverted_index":null,"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
