{“id”:“https://openalex.org/W2116906584“,”doi“:”https://doi.org/10.1007/s10107-012-0620-1“,”title“:”关于三次和次三次图的旅行商问题“,”display_name“:”三次和子三次图上的旅行商难题“,”publication_year“:2012,”publitation_date“:”2012-12-20“,”ids“:{”openalex“:”https://openalex.org/W2116906584“,”doi“:”https://doi.org/10.1007/s10107-012-0620-1“,”mag“:”2116906584“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/s10107-012-0620-1“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S193920097“,”display_name“:”数学编程“,”issn_l“:”0025-5610“,”isn“:[”0025-56“,”1436-4646“],”is_oa“:false,”is_ in_doaj“:false,”is_core“:true,”host_organization“:”https://openalex.org/P4310318900“,”host_organization_name“:”施普林格科学+商业媒体“,”host_organization_lineage“:[”https://openalex.org/P431031965","https://openalex.org/P4310318900“],”host_organization_lineage_names“:[”Springer Nature“,”Springer-Science+Business Media“],“type”:“journal”},“license”:null,“licence_id”:nul,“version”:null,“is_accepted”:false,“is_published”:false},”type“:”article“,”type_crossref“:“jornal-article”,“indexed_in”:[”crossref“]”,“open_access”:{“is_oa”:true,“oa_status”:“green”url“:”https://ir.cwi.nl/pub/22932/22932D.pdf“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5025268829“,”display_name“:”Sylvia Boyd“,”orcid“:”https://orcid.org/0000-0001-7884-0219},“机构”:[{“id”:https://openalex.org/I153718931“,”display_name“:”渥太华大学“,”ror“:”https://ror.org/03c4mmv16“,”country_code“:”CA“,”type“:“教育”,”世系“:[”https://openalex.org/I153718931“]}],”国家“:[”CA“],”is_corresponding“:false,”raw_author_name“:”Sylvia Boyd“,”raw _ afiliation_strings“:[“加拿大渥太华大学电气工程与计算机科学学院”],”affiliations“:[{”raw _affiliation_strong“:”加拿大渥太瓦大学电气工程和计算机科学学院“,”机构ID“:[”https://openalex.org/I153718931“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5047920456“,”display_name“:”Ren\u00e9 Sitters“,”orcid“:”https://orcid.org/0000-0002-0385-0794},“机构”:[{“id”:https://openalex.org/I865915315“,”display_name“:”阿姆斯特丹Vrije Universiteit“,”ror“:”https://ror.org/008xxew50“,”country_code“:”NL“,”type“:“教育”,”世系“:[”https://openalex.org/I865915315“]}],”国家“:[”NL“],”is_corresponding“:true,”raw_author_name“:”Ren\u00e9 Sitters“,”raw _ afiliation_strings“:[“荷兰阿姆斯特丹VU大学运营研究系”],”affiliations“:[{”raw _affiliation_strong“:”荷兰阿姆斯特朗VU大学运筹学系”,“机构ID“:[”https://openalex.org/I865915315“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5018484781“,”display_name“:”Suzanne van der Ster“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I865915315“,”display_name“:”阿姆斯特丹Vrije Universiteit“,”ror“:”https://ror.org/008xxew50“,”country_code“:”NL“,”type“:“教育”,”世系“:[”https://openalex.org/I865915315“]}],”国家“:[”NL“],”is_corresponding“:false,”raw_author_name“:”Suzanne van der Ster“,”raw _affiliation_strings“:[“荷兰阿姆斯特丹VU大学运营研究系”],”affiliations“:[{”raw _affiliation_string“:”荷兰阿姆斯特朗VU大学运筹学系”,“机构ID“:[”https://openalex.org/I865915315“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5044184077“,”display_name“:”Leen Stougie“,”orcid“:”https://orcid.org/0000-0001-6938-8902},“机构”:[{“id”:https://openalex.org/I865915315“,”display_name“:”阿姆斯特丹Vrije Universiteit“,”ror“:”https://ror.org/008xxew50“,”country_code“:”NL“,”type“:“教育”,”世系“:[”https://openalex.org/I865915315“]}],”国家“:[”NL“],”is_corresponding“:false,”raw_author_name“:”Leen Stougie“,”raw_affiation_strings“:[”荷兰阿姆斯特丹VU大学运筹学系“],”附属机构“:[{”raw_affiation_string“:”荷兰阿姆斯特丹VU大学运筹学系“,”institution_ids“:[”https://openalex.org/I865915315“]}]}],”institution_assertions“:[],”countries_distiction_count“:2,”institutions_disticent_count”:2,“corresponding_author_ids”:[“https://openalex.org/A5047920456“],”对应的机构ID“:[”https://openalex.org/I865915315“],”apc_list“:{”value“:2190,”currency“:”EUR“,”value_usd“:2890,”provenance“:”doaj“},”apc _payd“:null,”fwci“:3.238,”has_fulltext“:true,”fulltext_origin“:”pdf“,”cited_by_count“:36,”citation_normalized_percentile“:{”value y_percentile_year“:{”最小值“:93,”最大值“:94},”书目“:{”卷“:”144“,”issue“:”1-2“,”first_page“:”227“,”last_page“:”245“},”is_retracted“:false,”is_paratext“:fase,”primary_topic“:{”id“:”https://openalex.org/T10374“,”display_name“:”图论与算法“,”score“:0.9998,”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“}},”主题“:[{”id“:”https://openalex.org/T10374“,”display_name“:”图论与算法“,”score“:0.9998,”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/T10720“,”display_name“:”组合优化与复杂性理论“,”score“:0.9998,”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/T12541“,”“display_name”:“图形标记和维度问题”,“score”:0.9977,“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“}}],”关键词“:[{”id“:”https://openalex.org/keywords/cubic-graph网站“,”display_name“:”立体图“,”score“:0.6511463},{”id“:”https://openalex.org/keywords/constraint-satisfaction-problems“,”display_name“:”约束满足问题“,”score“:0.556881},{”id“:”https://openalex.org/keywords/graph-labeling“,”display_name“:”Graph Labeling“,”score“:0.517182},{”id“:”https://openalex.org/keywords/parameterized-complexity网站“,”display_name“:”参数化复杂性“,”score“:0.510678},{”id“:”https://openalex.org/keywords/graph-theory网站“,”display_name“:”图论“,”score“:0.509484},{”id“:”https://openalex.org/keywords/近似算法“,”display_name“:”近似算法“,”score“:0.505995}],”concepts“:[{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.8481759},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.7498604},{”id“:”https://openalex.org/C175859090,“wikidata”:https://www.wikidata.org/wiki/Q322212“,”display_name“:”旅行推销员问题“,”level“:2,”score“:0.73426914},{”id“:”https://openalex.org/C100500283,“wikidata”:https://www.wikidata.org/wiki/Q1374495“,”display_name“:”立体图“,”level“:5,”score“:0.6511463},{”id“:”https://openalex.org/C2780990831,“wikidata”:https://www.wikidata.org/wiki/Q319141“,”display_name“:”推测“,”级别“:2,”分数“:0.64966935},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.43723089},{”id“:”https://openalex.org/C132525143,“wikidata”:https://www.wikidata.org/wiki/Q141488“,”display_name“:”Graph“,”level“:2,”score“:0.43140006},{”id“:”https://openalex.org/C11413529,“wikidata”:https://www.wikidata.org/wiki/Q8366“,”display_name“:”Algorithm“,”level“:1,”score“:0.22799769},{”id“:”https://openalex.org/C203776342,“wikidata”:https://www.wikidata.org/wiki/Q1378376“,”display_name“:”折线图“,”level“:3,”score“:0.19059762},{”id“:”https://openalex.org/C22149727,“wikidata”:https://www.wikidata.org/wiki/Q7940747“,”display_name“:”电压图“,”level“:4,”score“:0.1070663}],”mesh“:[],”locations_count“:3,”location“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/s10107-012-0620-1“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S193920097“,”display_name“:”数学编程“,”issn_l“:”0025-5610“,”isn“:[”0025-56“,”1436-4646“],”is_oa“:false,”is_ in_doaj“:false,”is_core“:true,”host_organization“:”https://openalex.org/P4310318900“,”host_organization_name“:”施普林格科学+商业媒体“,”host_organization_lineage“:[”https://openalex.org/P431031965","https://openalex.org/P4310318900“],”host_organization_lineage_names“:[”Springer Nature“,”Springer-Science+Business Media“],“type”:“journal”},“license”:null,“licence_id”:nul,“version”:null,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“https://ir.cwi.nl/pub/22932,“pdf_url”:https://ir.cwi.nl/pub/22932/22932D.pdf,“源”:{“id”:https://openalex.org/S4306401843“,”“display_name”“:”“数据存档和网络服务(DANS)”“,”https://openalex.org/I1322597698“,”“host_organization_name”:“荷兰皇家艺术科学院”,“host_ordanization_lineage”:[“https://openalex.org/I1322597698“],”host_organization_lineage_names“:[”荷兰皇家艺术与科学学院“],”type“:”repository“},”license“:null,”license_id“:null,”version“:”submittedVersion“,”is_accepted“:false,”is_published“:false},{”is_oa“:true,”landing_page_url“:”https://arxiv.org/abs/107.1052,“pdf_url”:https://arxiv.org/pdf/107.1052,“源”:{“id”:https://openalex.org/S4306400194“,”display_name“:”arXiv(康奈尔大学)“,”issn_l“:null,”issn“:null,”is_oa“:true,”is.in_doaj“:false,”is_core“:fase,”host_organization“:”https://openalex.org/I205783295“,”“host_organization_name”:“康奈尔大学”,“host_organization_lineage”:[“https://openalex.org/I205783295“],”host_organization_lineage_names“:[”康奈尔大学“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false}],“best_oa_location”:{“is_oa”:true,“landing_page_url”:“https://ir.cwi.nl/pub/22932,“pdf_url”:https://ir.cwi.nl/pub/22932/22932D.pdf,“源”:{“id”:https://openalex.org/S4306401843“,”“display_name”“:”“数据存档和网络服务(DANS)”“,”https://openalex.org/I1322597698“,”“host_organization_name”:“荷兰皇家艺术科学院”,“host_ordanization_lineage”:[“https://openalex.org/I1322597698“],”host_organization_lineage_names“:[”Royal Netherlands Academy of Arts and Sciences“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},”sustainable_development_goals“:[],”grants“:【】,“datasets”:【】https://openalex.org/W144989587","https://openalex.org/W1522552921","https://openalex.org/W1582969422","https://openalex.org/W1714357736","https://openalex.org/W1828670314","https://openalex.org/W1965255372","https://openalex.org/W1983002996","https://openalex.org/W1993298089","https://openalex.org/W2002065932","https://openalex.org/W2005152226","https://openalex.org/W2011449951","https://openalex.org/W2014294736","https://openalex.org/W2021659530","https://openalex.org/W2032495288","https://openalex.org/W2038652993","https://openalex.org/W2054420170","https://openalex.org/W2062254875","https://openalex.org/W2063836932","https://openalex.org/W2077642252","https://openalex.org/W2087818742","https://openalex.org/W2100440346","https://openalex.org/W2112540280","https://openalex.org/W2136400551","https://openalex.org/W2141355868","https://openalex.org/W2142607374","https://openalex.org/W2324108981","https://openalex.org/W2327315803","https://openalex.org/W2335389215","https://openalex.org/W2497909753","https://openalex.org/W268194639","https://openalex.org/W2949399323","https://openalex.org/W413067204","https://openalex.org/W4244591792","https://openalex.org/W4294358747“],”related_works“:[”https://openalex.org/W4389782626","https://openalex.org/W4306878646","https://openalex.org/W2913191894","https://openalex.org/W2361554335","https://openalex.org/W2359992618","https://openalex.org/W2164188042","https://openalex.org/W2054495636","https://openalex.org/W2046552997","https://openalex.org/W2037002007","https://openalex.org/W1525389557“],”abstract_inverted_index“:{”We“:[0,70185],”study“:[1],”the“:[2,8,32,41,45,50,72118161178204],”traveling“:[3],”saleser“:[4],”problem“:[5,23155],”(TSP)“:[6],”on“:[7106142156],”metric“:[9,36],”completion“:[10],”of“:[11,25,28,53,59,93111127166203],”cubic“:[12,76104],”and“:[13,57131145172],”次立方“:[14157],”图形“:[15158],”其中“:[16,38,91115195],”是“:[17,24,68,922174183],”已知“:[18],”to“:[19,311911197],”be“:[20],”NP难。“:[21],“The”:[22,82168],“interest”:[26],“because”:[27],“its”:[29,60],“relation”:[30],“factive”:[33],“4/3猜想”:[34162],“for”:[35,75102124140153163208],“TSP”:[37],“says”:[39],“that”:[40,58101136181],“integity”:[42],“gap”:[43],“即”:[44],“最差”“:[46],”大小写“:[47],”比率“:[48,80],”介于“:[49],”最佳“:[51],”值“:[52],”a“:[54,88109138147150188198],“TSP”:[55],“instance”:[56],“linear”:[61],“programming”:[62],“relaxation”:[63],“(the”:[64],“subtour”:[65],“elevation”:[66],“松弛”),“:[67],“4/3.”:[69,81],“present”:[71187],“first”:[73],“algorithmic”:[74135152169194],“graphs”:[77144],“with”:[78],“近似”:[79],“证明”:[83],“使用”:[84],“多面体:[85],“技术”:[86],“in”:[87],“令人惊讶”:[89],“方式”:[90],“独立”:[94],“兴趣”。“:[95],”In“:[96],”fact“:[97],”we“:98],”prove“:[99],”constructively“:[100],”any“:[103],”graph“:[105],”$$n$$“:[107],”顶点“:[108],”tour“:[110],”length“:[112],”$4n/3-2$$“:[113],”exists“:[114],”also“:116159206],”implies“:[117],”4/3-猜想,“:[119],”as“:[12146],”an“:[121134],”upper“:[122],”bound“:[123],”this“:[125154164],”类“:[126165],”图-TSP。“:[128167],”最近,“:[129],”M\u00f6mke“:[130171],”Svensson“:[132173],”presented“:[133],”gives“:%137],”1.461-approximation“:[139],”graph-TSP“:[141],”general“:[143],”side“:[148],”result“:+149],”4/3-approximature“:[151],”settinging“:[160],”by“:[170],”initially“:[175],”随机化“:[176],“但是”:[177],“作者”:[179],“备注”:[180],“去自由化“:[182],”琐碎。“:[184],”will“:[186],”different“:[189],”way“:[190],”derandomize“:[192],”their“:[193],”leads“:[196],”faster“:[199],”running“:[200],”time“,”时间“。“:[201],”All“:[202],”later“:[205],”works“:[207],”多图。“:[209]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W2116906584“,”counts_by_year“:[{年:2024,”cited_by_count“:1},{年“:2023,”cited_by_count”:3},”{“年”:2022,”citecd_by_count“:2},“年份”:2017,“引用_ by_count”:5},{“年份”:2016,“引用_by_counts”:8},}“年份“:2015,”引用_ by-count“:5},{“年份”:2014,“引用_ by_count”:3},{”年份”:2013,“引用_by_counts”:1},}”年份“:2012,“引用的_by_cunt”:1{],“更新日期”:“2024-09-17T16:24:46.438506”,“创建日期”:”2016-06-24“}