{"id":"https://openalex.org/W2397805958","doi":"https://doi.org/10.3233/978-1-60750-718-5-164","title":"Branching on Split Disjunctions","display_name":"Branching on Split Disjunctions","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2397805958","doi":"https://doi.org/10.3233/978-1-60750-718-5-164","mag":"2397805958"},"language":"en","primary_location":{"id":"doi:10.3233/978-1-60750-718-5-164","is_oa":false,"landing_page_url":"https://doi.org/10.3233/978-1-60750-718-5-164","pdf_url":null,"source":{"id":"https://openalex.org/S4210202636","display_name":"NATO science for peace and security series. D, Information and communication security","issn_l":"1874-6268","issn":["1874-6268","1879-8292"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"NATO Science for Peace and Security Series - D: Information and Communication Security","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/A5005485061","display_name":"Giacomo Nannicini","orcid":"https://orcid.org/0000-0002-4936-1259"},"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":"Nannicini Giacomo","raw_affiliation_strings":["Carnegie Mellon University"],"affiliations":[{"raw_affiliation_string":"Carnegie Mellon University","institution_ids":["https://openalex.org/I74973139"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014470090","display_name":"G\u00e9rard Cornu\u00e9jols","orcid":"https://orcid.org/0000-0002-3976-1021"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Cornu&eacute;jols G&eacute;rard","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060514726","display_name":"Miroslav Karamanov","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Karamanov Miroslav","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5046138085","display_name":"Leo Liberti","orcid":"https://orcid.org/0000-0003-3139-6821"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Liberti Leo","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5005485061"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.21573604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"164","last_page":"182"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10237","display_name":"Cryptography and Data Security","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10237","display_name":"Cryptography and Data Security","score":0.9987000226974487,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9986000061035156,"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":0.993399977684021,"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/branching","display_name":"Branching (polymer chemistry)","score":0.7620662450790405},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3277748227119446},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.32117530703544617},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.11853256821632385},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.03233852982521057}],"concepts":[{"id":"https://openalex.org/C206175624","wikidata":"https://www.wikidata.org/wiki/Q595731","display_name":"Branching (polymer chemistry)","level":2,"score":0.7620662450790405},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3277748227119446},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.32117530703544617},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.11853256821632385},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.03233852982521057}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/978-1-60750-718-5-164","is_oa":false,"landing_page_url":"https://doi.org/10.3233/978-1-60750-718-5-164","pdf_url":null,"source":{"id":"https://openalex.org/S4210202636","display_name":"NATO science for peace and security series. D, Information and communication security","issn_l":"1874-6268","issn":["1874-6268","1879-8292"],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"NATO Science for Peace and Security Series - D: Information and Communication Security","raw_type":"book-chapter"},{"id":"mag:2397805958","is_oa":false,"landing_page_url":"http://integer.tepper.cmu.edu/webpub/branchsplit.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[{"score":0.4300000071525574,"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W57720693","https://openalex.org/W200029444","https://openalex.org/W1562114180","https://openalex.org/W1583961104","https://openalex.org/W1925473556","https://openalex.org/W1976440936","https://openalex.org/W2014228444","https://openalex.org/W2034266713","https://openalex.org/W2039648193","https://openalex.org/W2052281387","https://openalex.org/W2060514920","https://openalex.org/W2064684117","https://openalex.org/W2070788858","https://openalex.org/W2091364465","https://openalex.org/W2102738679","https://openalex.org/W2103254960","https://openalex.org/W2111574881","https://openalex.org/W2114616381","https://openalex.org/W2123640521","https://openalex.org/W2141040012","https://openalex.org/W2150008491","https://openalex.org/W2152037116","https://openalex.org/W2158102350","https://openalex.org/W2163013568","https://openalex.org/W2171238021","https://openalex.org/W2326888094"],"related_works":["https://openalex.org/W2899084033","https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027"],"abstract_inverted_index":{"Branch-and-Cut":[0],"is":[1],"the":[2,18,101],"most":[3],"commonly":[4],"used":[5],"algorithm":[6],"for":[7],"solving":[8],"Integer":[9],"and":[10,98,105],"Mixed-Integer":[11],"Linear":[12],"Programs.":[13],"In":[14,85],"order":[15],"to":[16,24,49,61,77,93],"reduce":[17],"number":[19],"of":[20,29,68,82,96],"nodes":[21],"that":[22],"have":[23],"be":[25,33,62],"enumerated":[26],"before":[27],"optimality":[28],"a":[30,108],"solution":[31],"can":[32],"proven,":[34],"branching":[35,50,104],"on":[36,51,55,65],"general":[37,79],"disjunctions":[38,41,53],"(i.e.,":[39],"split":[40,109],"involving":[42],"more":[43],"than":[44],"one":[45,56],"variable,":[46],"as":[47],"opposed":[48],"simple":[52],"defined":[54],"variable":[57],"only)":[58],"was":[59],"shown":[60],"very":[63],"effective":[64],"particular":[66],"classes":[67],"instances,":[69],"but":[70],"not":[71],"much":[72],"work":[73],"has":[74],"been":[75],"done":[76],"study":[78,100],"purpose":[80],"methods":[81],"this":[83,86,94],"kind.":[84],"paper,":[87],"we":[88,99],"survey":[89],"known":[90],"results":[91],"related":[92],"line":[95],"research,":[97],"relationship":[102],"between":[103],"cutting":[106],"from":[107],"disjunction.":[110]},"counts_by_year":[],"updated_date":"2025-12-28T23:10:05.387466","created_date":"2025-10-10T00:00:00"}
