{"id":"https://openalex.org/W4303982878","doi":"https://doi.org/10.1007/s00493-022-4884-7","title":"Complexity of Branch-and-Bound and Cutting Planes in Mixed-Integer Optimization \u2014 II","display_name":"Complexity of Branch-and-Bound and Cutting Planes in Mixed-Integer Optimization \u2014 II","publication_year":2022,"publication_date":"2022-10-10","ids":{"openalex":"https://openalex.org/W4303982878","doi":"https://doi.org/10.1007/s00493-022-4884-7"},"language":"en","primary_location":{"id":"doi:10.1007/s00493-022-4884-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-022-4884-7","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hdl.handle.net/11577/3467899","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5048617506","display_name":"Amitabh Basu","orcid":"https://orcid.org/0000-0002-1070-2626"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Amitabh Basu","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, MD, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091505775","display_name":"Michele Conforti","orcid":null},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Michele Conforti","raw_affiliation_strings":["Dipartimento di Matematica \u201cTullio Levi-Civita\u201d, Universita degli Studi Padova, Padova, Italy","Dipartimento di Matematica \"Tullio Levi-Civita\", Universita degli Studi Padova, Padova, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica \u201cTullio Levi-Civita\u201d, Universita degli Studi Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Dipartimento di Matematica \"Tullio Levi-Civita\", Universita degli Studi Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086066603","display_name":"Marco Di Summa","orcid":"https://orcid.org/0000-0001-7223-0380"},"institutions":[{"id":"https://openalex.org/I138689650","display_name":"University of Padua","ror":"https://ror.org/00240q980","country_code":"IT","type":"education","lineage":["https://openalex.org/I138689650"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"Marco Di Summa","raw_affiliation_strings":["Dipartimento di Matematica \u201cTullio Levi-Civita\u201d, Universita degli Studi Padova, Padova, Italy","Dipartimento di Matematica \"Tullio Levi-Civita\", Universita degli Studi Padova, Padova, Italy"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica \u201cTullio Levi-Civita\u201d, Universita degli Studi Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]},{"raw_affiliation_string":"Dipartimento di Matematica \"Tullio Levi-Civita\", Universita degli Studi Padova, Padova, Italy","institution_ids":["https://openalex.org/I138689650"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5041088779","display_name":"Hongyi Jiang","orcid":"https://orcid.org/0000-0001-9840-078X"},"institutions":[{"id":"https://openalex.org/I145311948","display_name":"Johns Hopkins University","ror":"https://ror.org/00za53h95","country_code":"US","type":"education","lineage":["https://openalex.org/I145311948"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hongyi Jiang","raw_affiliation_strings":["Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, MD, USA"],"affiliations":[{"raw_affiliation_string":"Department of Applied Mathematics and Statistics, Johns Hopkins University, Baltimore, MD, USA","institution_ids":["https://openalex.org/I145311948"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5048617506"],"corresponding_institution_ids":["https://openalex.org/I145311948"],"apc_list":null,"apc_paid":null,"fwci":0.4511,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.66359582,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":95},"biblio":{"volume":"42","issue":"S1","first_page":"971","last_page":"996"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9994999766349792,"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":0.9994999766349792,"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":0.9973999857902527,"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/T12288","display_name":"Optimization and Search Problems","score":0.996999979019165,"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/mathematics","display_name":"Mathematics","score":0.8283604383468628},{"id":"https://openalex.org/keywords/cutting-plane-method","display_name":"Cutting-plane method","score":0.797359824180603},{"id":"https://openalex.org/keywords/branch-and-bound","display_name":"Branch and bound","score":0.7403813600540161},{"id":"https://openalex.org/keywords/branching","display_name":"Branching (polymer chemistry)","score":0.7370538711547852},{"id":"https://openalex.org/keywords/branch-and-cut","display_name":"Branch and cut","score":0.6158728003501892},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5653032064437866},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.547549843788147},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4694375991821289},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.46242398023605347},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.45546847581863403},{"id":"https://openalex.org/keywords/point","display_name":"Point (geometry)","score":0.4324369430541992},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3839401602745056},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35576769709587097},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34814178943634033},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.34334883093833923},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22745826840400696},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09187200665473938},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.09051761031150818}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8283604383468628},{"id":"https://openalex.org/C109839438","wikidata":"https://www.wikidata.org/wiki/Q1762039","display_name":"Cutting-plane method","level":3,"score":0.797359824180603},{"id":"https://openalex.org/C93693863","wikidata":"https://www.wikidata.org/wiki/Q897659","display_name":"Branch and bound","level":2,"score":0.7403813600540161},{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.7370538711547852},{"id":"https://openalex.org/C50797617","wikidata":"https://www.wikidata.org/wiki/Q498566","display_name":"Branch and cut","level":3,"score":0.6158728003501892},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5653032064437866},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.547549843788147},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4694375991821289},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.46242398023605347},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.45546847581863403},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.4324369430541992},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3839401602745056},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35576769709587097},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34814178943634033},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.34334883093833923},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22745826840400696},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09187200665473938},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.09051761031150818},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"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/s00493-022-4884-7","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00493-022-4884-7","pdf_url":null,"source":{"id":"https://openalex.org/S72366220","display_name":"COMBINATORICA","issn_l":"0209-9683","issn":["0209-9683","1439-6912"],"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":"Combinatorica","raw_type":"journal-article"},{"id":"pmh:oai:www.research.unipd.it:11577/3467899","is_oa":true,"landing_page_url":"https://hdl.handle.net/11577/3467899","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:www.research.unipd.it:11577/3467899","is_oa":true,"landing_page_url":"https://hdl.handle.net/11577/3467899","pdf_url":null,"source":{"id":"https://openalex.org/S4377196283","display_name":"Research Padua  Archive (University of Padua)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138689650","host_organization_name":"University of Padua","host_organization_lineage":["https://openalex.org/I138689650"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":55,"referenced_works":["https://openalex.org/W193482165","https://openalex.org/W200029444","https://openalex.org/W942484584","https://openalex.org/W1499875748","https://openalex.org/W1504627710","https://openalex.org/W1528724633","https://openalex.org/W1562114180","https://openalex.org/W1562327279","https://openalex.org/W1592882366","https://openalex.org/W1608844619","https://openalex.org/W1862363755","https://openalex.org/W1890806713","https://openalex.org/W1893254807","https://openalex.org/W1970290925","https://openalex.org/W1988390398","https://openalex.org/W1990360244","https://openalex.org/W1995414951","https://openalex.org/W1996256832","https://openalex.org/W2009866245","https://openalex.org/W2021079478","https://openalex.org/W2026627205","https://openalex.org/W2034266713","https://openalex.org/W2038193643","https://openalex.org/W2044095368","https://openalex.org/W2060042885","https://openalex.org/W2070788858","https://openalex.org/W2074585631","https://openalex.org/W2078608416","https://openalex.org/W2087567316","https://openalex.org/W2095948615","https://openalex.org/W2099246938","https://openalex.org/W2100440346","https://openalex.org/W2113462655","https://openalex.org/W2117749206","https://openalex.org/W2138008740","https://openalex.org/W2139559439","https://openalex.org/W2146471456","https://openalex.org/W2150008491","https://openalex.org/W2152037116","https://openalex.org/W2158029166","https://openalex.org/W2187435247","https://openalex.org/W2492280620","https://openalex.org/W2567811846","https://openalex.org/W2572894540","https://openalex.org/W2612161452","https://openalex.org/W2912533262","https://openalex.org/W2949437739","https://openalex.org/W2963926915","https://openalex.org/W3207345640","https://openalex.org/W4210891215","https://openalex.org/W4298227433","https://openalex.org/W4300568640","https://openalex.org/W4301808069","https://openalex.org/W6600510208","https://openalex.org/W6821466419"],"related_works":["https://openalex.org/W2158503982","https://openalex.org/W2166009425","https://openalex.org/W2404998787","https://openalex.org/W2379672298","https://openalex.org/W4313384610","https://openalex.org/W1997215277","https://openalex.org/W3126061688","https://openalex.org/W4223947110","https://openalex.org/W58208513","https://openalex.org/W2769220156"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2022-10-10T00:00:00"}
