{“id”:“https://openalex.org/W2119368733“,”doi“:”https://doi.org/10.1145/2213977.2213988“,”title“:“线性与半定扩展公式”,”display_name“:”线性与半确定扩展公式“,”publication_year“:2012,”publitation_date“:”2012-05-19“,”ids“:{”openalex“:”https://openalex.org/W2119368733“,”doi“:”https://doi.org/10.1145/2213977.2213988“,”mag“:”2119368733“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1145/2213977.2213988“,”pdf_url“:null,”source“:null,”license“:null',”licence_id“:null,”version“:nuller,”is_accepted“:false,”is_published“:false},”type“:”article“,”type_crossref“:“procesdings-article”,”indexed_in“:[”crossref“],”open_access“:{”is_oa“:false,”oa_status“:”closed“,”oa_url”:null“,”any_repository_has_fulltext“:false}”,”authorships“:[{”author_position“:”first“,”作者“:{”id“:”https://openalex.org/A5001781037“,”display_name“:”Samuel Fiorini“,”orcid“:”https://orcid.org/00000-0002-6845-9008},“机构”:[{“id”:https://openalex.org/I132053463“,”display_name“:”布鲁塞尔自由大学\u00e9“,”ror“:”https://ror.org/01r9htc13“,”country_code“:”BE“,”type“:“教育”,”世系“:[”https://openalex.org/I132053463“]}],”国家“:[”BE“],”is_correresponsing“:false,”raw_author_name“:”Samuel Fiorini“,”raw_affiation_strings“:[”比利时布鲁塞尔布鲁塞尔自由大学“]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5024306150“,”display_name“:”Serge Massar“,”orcid“:”https://orcid.org/0000-0002-4381-2485},“机构”:[{“id”:https://openalex.org/I132053463“,”display_name“:”布鲁塞尔自由大学“,”ror“:”https://ror.org/01r9htc13“,”country_code“:”BE“,”type“:“教育”,”世系“:[”https://openalex.org/I132053463“]}],”国家“:[”BE“],”is_corresponding“:false,”raw_author_name“:”Serge Massar“,”raw_affiliation_strings“:[“University\u00e9 libre de Bruxelles,Brussels,Belgium”]},{“author_position”:“middle”,“author”:{“id”:“https://openalex.org/A5043574831“,”display_name“:”Sebastian Pokutta“,”orcid“:”https://orcid.org/0000-0001-7365-3000},“机构”:[{“id”:https://openalex.org/I181369854“,”display_name“:”弗里德里希·亚历山大大学爱尔兰根-N\u00fcrnberg“,”ror“:”https://ror.org/00f7hpc57“,”country_code“:”DE“,”type“:“教育”,”世系“:[”https://openalex.org/I181369854“]}],”国家“:[”DE“],”is_corresponding“:false,”raw_author_name“:”Sebastian Pokutta“,”raw_affiliation_strings“:[“Friedrich-Alexander University\u00e4t,Erlangen,Germany”]},{“author_position”:“middle”,“author”:{“id”:“https://openalex.org/A5036380953“,”display_name“:”Hans Raj Tiwary“,”orcid“:”https://orcid.org/0000-0003-1903-1600},“机构”:[{“id”:https://openalex.org/I132053463“,”display_name“:”布鲁塞尔自由大学\u00e9“,”ror“:”https://ror.org/01r9htc13“,”country_code“:”BE“,”type“:“教育”,”世系“:[”https://openalex.org/I132053463“]}],”国家“:[”BE“],”is_corresponding“:false,”raw_author_name“:”Hans Raj Tiwary“,”raw _ afiliation_strings“:[“University\u00e9 libre de Bruxelles,Brussels,Belgium”]},{“author_position”:“last”,“author”:{“id”:“https://openalex.org/A5066563480“,”display_name“:”Ronald de Wolf“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I1341640284“,”display_name“:”Centrum Wiskunde&Informatica“,”err“:”https://ror.org/00x7ekv49“,”“country_code”“:”NL“,”type“:”facility“,”lineage“:[”https://openalex.org/I1341640284","https://openalex.org/I2800991832“]},{”id“:”https://openalex.org/I887064364“,”display_name“:”阿姆斯特丹大学“,”ror“:”https://ror.org/04dkp9463“,”country_code“:”NL“,”type“:“教育”,”世系“:[”https://openalex.org/I887064364“]}],”国家“:[”NL“],”is_corresponding“:false,”raw_author_name“:”Ronald de Wolf“,”raw _ afiliation_strings“:[“CWI和荷兰阿姆斯特丹大学”]}]“countries _ distinct_count”:3,“institutions _ disting_count“:4,”corresponding_author_ids“:[],”correcponding_institution_idshas_fulltext“:true,”fulltext_origin“:”ngrams“,”cited_by_count“:174,”cited_by_percentile_year“:{”min“:98,”max“:99},”biblio“:{“volume”:null,”issue“:null”,“first_page”:null,“last_page”:null},“is_retracted”:false,“is_paratext”:false,“primary_topic”:{“id”:“https://openalex.org/T10682“,”display_name“:”量子计算与模拟“,”score“:0.9952,”subfield“:{”id“:”https://openalex.org/subfields/1702“,”display_name“:”人工智能“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T10682“,”display_name“:”量子计算与模拟“,”score“:0.9952,”subfield“:{”id“:”https://openalex.org/subfields/1702“,”display_name“:”人工智能“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10720“,”display_name“:”组合优化与复杂性理论“,”score“:0.9893,”subfield“:{”id“:”https://openalex.org/subfields/1703“,”display_name“:”计算理论与数学“},”字段“:{”id“:”https://openalex.org/fields/17“,”display_name“:”Computer Science“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10963“,”display_name“:”数值优化技术“,”score“:0.988,”subfield“:{”id“:”https://openalex.org/subfields/2612“,”display_name“:”数值分析“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}}],”关键词“:[{”id“:”https://openalex.org/keywords/semidefinite-programming网站“,”display_name“:”半定规划“,”score“:0.525415},{”id“:”https://openalex.org/keywords/linear-programing(https://openalex.org/keywords/linear-programing)“,”display_name“:”线性规划“,”score“:0.518041},{”id“:”https://openalex.org/keywords/mix综合非线性程序“,”“display_name”:“混合整数非线性程序”,“score”:0.506531},{“id”:“https://openalex.org/keywords/非线性编程“,”display_name“:”非线性编程“,”score“:0.506096}],”concepts“:[{”id“:”https://openalex.org/C145691206,“wikidata”:https://www.wikidata.org/wiki/Q747980“,”display_name“:”Polytope“,”level“:2,”score“:0.82425815},{”id“:”https://openalex.org/C101901036,“wikidata”:https://www.wikidata.org/wiki/Q2269096“,”display_name“:”半定规划“,”level“:2,”score“:0.75616837},{”id“:”https://openalex.org/C206304794,“wikidata”:https://www.wikidata.org/wiki/Q4916482“,”“display_name”“:”Birkhoff polytope“,”级别“:5,”分数“:0.6793958},{”id“:”https://openalex.org/C41045048,“wikidata”:https://www.wikidata.org/wiki/Q202843“,”display_name“:”线性规划“,”level“:2,”score“:0.6654078},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.5884968},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.57112455},{”id“:”https://openalex.org/C177264268,“wikidata”:https://www.wikidata.org/wiki/Q1514741“,”display_name“:”Set(abstract data type)“,”level“:2,”score“:0.47827944},{”id“:”https://openalex.org/C175859090,“wikidata”:https://www.wikidata.org/wiki/Q322212“,”display_name“:”旅行推销员问题“,”level“:2,”score“:0.4569429},{”id“:”https://openalex.org/C13355873,“wikidata”:https://www.wikidata.org/wiki/Q2920850“,”display_name“:”Connection(principal bundle)“,”level“:2,”score“:0.44815242},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.35946518},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198“,”display_name“:”计算机科学“,”level“:0,”score“:0.31324825},{”id“:”https://openalex.org/C126255220,“wikidata”:https://www.wikidata.org/wiki/Q141495“,”display_name“:”数学优化“,”level“:1,”score“:0.31278127},{”id“:”https://openalex.org/C112680207,“wikidata”:https://www.wikidata.org/wiki/Q714886“,”display_name“:”正多边形“,”level“:2,”score“:0.08610532},{”id“:”https://openalex.org/C157972887,“wikidata”:https://www.wikidata.org/wiki/Q463359“,”display_name“:”凸优化“,”level“:3,”score“:0.07919285},{”id“:”https://openalex.org/C49870271,“wikidata”:https://www.wikidata.org/wiki/Q193657“,”display_name“:”凸集“,”level“:4,”score“:0.0},{”id“:”https://openalex.org/C2524010,“wikidata”:https://www.wikidata.org/wiki/Q8087“,”display_name“:”Geometry“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C199360897,“wikidata”:https://www.wikidata.org/wiki/Q9143“,”display_name“:”编程语言“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:1.”locations“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1145/2213977.2213988“,”pdf_url“:null,”source“:null,”license“:null:”license_id“:null,”version“:nuller,”is_accepted“:false,”is_published“:false}],”best_oa_location“:nul,”sustainable_development_goals“:[],”grants“:[],”datasets“:],”versions“:[]:”,“referenced_works_count”:32,“referrenced_works”:[”https://openalex.org/W1485993952","https://openalex.org/W1496447390","https://openalex.org/W153015188","https://openalex.org/W1585955818","https://openalex.org/W1587123489","https://openalex.org/W1970193303","https://openalex.org/W1972997295","https://openalex.org/W1980575345","https://openalex.org/W1982283204","https://openalex.org/W19988919258网址","https://openalex.org/W2000211775","https://openalex.org/W2005285611","https://openalex.org/W2012824096","https://openalex.org/W2023546589","https://openalex.org/W2049143039","https://openalex.org/W2061987651","https://openalex.org/W2067046685","https://openalex.org/W2068422506","https://openalex.org/W2070486524","https://openalex.org/W2078289947","https://openalex.org/W2083858754","https://openalex.org/W2083896132","https://openalex.org/W2106264302","https://openalex.org/W2111517082","https://openalex.org/W2148016452","https://openalex.org/W2158907148","https://openalex.org/W2246801328","https://openalex.org/W2764347725","https://openalex.org/W3022030295","https://openalex.org/W3105023213","https://openalex.org/W4206570602","https://openalex.org/W4253214256“],”related_works“:[”https://openalex.org/W4297969877","https://openalex.org/W4287661028","https://openalex.org/W2963837916","https://openalex.org/W2953076628","https://openalex.org/W2949863507","https://openalex.org/W2778515850","https://openalex.org/W2773485609","https://openalex.org/W2085110259","https://openalex.org/W2023190453","https://openalex.org/W1854884900“],”ngrams_url“:”https://api.openalex.org/works/W2119368733/ngrams“,”“abstract_inverted_index”:{“We”:[0],“solve”:[1],“a”:[2,59],“20岁”:[3],“old”:[4],“problem”:[5],“positioned”:[6],“by”:[7],“Yannakakakis”:[8],“and”:[9,49,70],“prove”:[10,40],“that”:[11,41,62],“there”:[12],“exists”:[13],“no”:[14],”多项式大小“:[15],”线性“:[16],”程序“:[17],”(LP)“:[18],”which“:[19],”associated“:[20],”polytope“:[21,48],”项目“:[22],”to“:[23,35],”the“:[24,30,46,50],”traveling“:[25],”saless“:[26],”polytope“,”:[27],”even“:[28],”if“:[29],”LP“:[31],”is“:[32],”not“:[33],”required“:34],”be“:[36],”symmetrical。“:[37],”“此外,”:[38],“我们”:[39,63],“这个”:[42],“持有”:[43],“也”:[44],“代表”:[45],“切割”:[47],“稳定”:[51],“集合”:[52],“多胞体。“:[53],”这些“:[54],”结果“:[55],”是“:[56],”发现“:[57],”通过“:[58],”新“:[60],”连接“:[61],”制造“:[64],”介于“:[65],”单向“:[66],”量子“:[67],”通信“:[68],”协议“:[69],”半定“:[71],”编程“:[72],”重新格式化“:[73],”的“:[74],”LPs。“:[75]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W2119368733“,”“counts_by_year”:[{“年份”:2023,”“cited_by_count”:2},{“年度”:2022,”“cited_by_cunt”:3},}“年份“:2021,”“cited_by-count”“:4},”“年份”“:2020,”年份“:2016,”cited_by_count“:25},{“年份”:2015,”cited_bycount“:26},”{“年”:2014,“cited_by_count“:38},{“年份”:2013,“cited_by_count”:30},}“年度”:2012,“cited_by_count):6}],“updated_date”:“2024-05-12T17:04:27.903747”,“创建日期”:“2016-06-24”}