{“id”:“https://openalex.org/W3101686738“,”doi“:”https://doi.org/10.1007/978-3-642-36694-9_31“,”title“:”路径TSP的八分之一近似值“,”display_name“:”道路TSP的八分之一近似“,”publication_year“:2013,”publiation_date“:”2013-01-01“,”ids“:{”openalex“:”https://openalex.org/W3101686738“,”doi“:”https://doi.org/10.1007/978-3-642-36694-9_31“,”mag“:”3101686738“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/978-3-642-36694-9_31“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S106296714“,”display_name“:”计算机科学讲义“,”issn_l“:”0302-9743“,”isn“:[”0302-7743“、”1611-3349“],”is_oa“:false、”is_in_doaj“:false、”is_core“:true、”host_organization“:”https://openalex.org/P4310318900“,”“host_organization_name”:“Springer Science+Business Media”,“host_organization_lineage”:[“https://openalex.org/P431031965","https://openalex.org/P4310318900“],”host_organization_lineage_names“:[”Springer Nature“,”Springer-Science+Business Media“],“type”:“book-series”},“license”:null,“licence_id”:nul,“version”:null,“is_accepted”:false,“is_published”:false},”type“:”book-chapter“,”type_crossref“:“book-chapter”,”indexed_in“:[“arxiv”,“crossref”,“datacite”],“open_access”:{“is_oa”:true,“oa_status”:“绿色”,“oaurl“:”https://arxiv.org/pdf/1209.3523“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5103247532“,”display_name“:”Andr\u00e1s Seb\u0151“,”orcid“:”https://orcid.org/0000-0002-1207-888X},“机构”:[{“id”:https://openalex.org/I106785703“,”display_name“:”格勒诺布尔理工学院“,”ror“:”https://ror.org/05sbt2524“,”country_code“:”FR“,”type“:“教育”,”世系“:[”https://openalex.org/I106785703","https://openalex.org/I899635006“]},{”id“:”https://openalex.org/I4210094718“,”display_name“:”概念、优化和生产科学实验室“,”ror“:”https://ror.org/00rv5x925“,”“country_code”“:”FR“,”type“:”facility“,”lineage“:[”https://openalex.org/I106785703","https://openalex.org/I1294671590","https://openalex.org/I4210094718","https://openalex.org/I4210159245","https://openalex.org/I899635006“]},{”id“:”https://openalex.org/I177483745“,”display_name“:”Universit\u00e9 Joseph Fourier“,”ror“:”网址:https://ror.org/02aj0kh94“,”country_code“:”FR“,”type“:“教育”,”世系“:[”https://openalex.org/I177483745“]},{”id“:”https://openalex.org/I899635006“,”display_name“:”Universit\u00e9格勒诺布尔阿尔卑斯山“,”ror“:”https://ror.org/02rx3b187“,”country_code“:”FR“,”type“:“教育”,”世系“:[”https://openalex.org/I899635006“]},{”id“:”https://openalex.org/I1294671590“,”display_name“:”国家科学中心“,”ror“:”https://ror.org/02feahw73“,”country_code“:”FR“,”type“:“政府”,”世系“:[”https://openalex.org/I1294671590“]}],”国家“:[”FR“],”is_corresponding“:true,”raw_author_name“:”Andr\u00e1s Seb\u0151“,”raw _ afiliation_strings“:[“Laboratoire G-SCOP,CNRS,UJF,Grenoble-INP,France”],“affiliations”:[{“raw_affiliation_string”:“Laboratoroire G-SCOPhttps://openalex.org/I106785703","https://openalex.org/I4210094718","https://openalex.org/I177483745","https://openalex.org/I899635006","https://openalex.org/I1294671590“]}]}],”institution_assertions“:[],”countries_distinct_count“:1,”institutions_disting_count”:5,”corresponding_author_ids“:[”https://openalex.org/A5103247532“],”对应的机构ID“:[”https://openalex.org/I106785703","https://openalex.org/I4210094718","https://openalex.org/I177483745","https://openalex.org/I899635006","https://openalex.org/I1294671590“],”apc_list“:{”value“:5000,”currency“:”EUR“,”value_usd“:5392,”provenance“:”doaj“},”apc _payed“:null,”fwci“:6.96,”has_fulltext“:true,”fulltext_origin“:”pdf“,”cited_by_count“:44,”citation_normalized_percentile“:{”value:0.965836,”is_in_top_1_percent“:false,”is_ in_top_10_percennt“:true},“cited_b”y_percentile_year“:{“最小”:95,“最大”:96},“书目”:{”volume“:null,”issue“:nul,”first_page“:”362“,”last_page“:”374“},”is_retracted“:false,”is_paratext“:fase,”primary_topic“:{”id“:”https://openalex.org/T10720“,”display_name“:”组合优化与复杂性理论“,”score“:0.9994,”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/T10720“,”display_name“:”组合优化与复杂性理论“,”score“:0.9994,”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/T10567“,”“display_name”:“车辆路径问题和变量”,“score”:0.9975,“subfield”:{“id”:“https://openalex.org/subfields/2209“,”display_name“:”工业和制造工程“},”字段“:{”id“:”https://openalex.org/fields/22“,”display_name“:”Engineering“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T12288“,”“display_name”:“在线机器人研究中的分布式协调”,“score”:0.9952,“subfield”:{“id”:“https://openalex.org/subfields/1705“,”display_name“:”计算机网络和通信“},”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/近似算法“,”display_name“:”近似算法“,”score“:0.583656},{”id“:”https://openalex.org/keywords/christofides-algorithm网址“,”display_name“:”Christofides算法“,”score“:0.5810229},{”id“:”https://openalex.org/keywords/stoachamic-matching“,”display_name“:”随机匹配“,”score“:0.536016},{”id“:”https://openalex.org/keywords/parameterized-complexity网站“,”display_name“:”参数化复杂性“,”score“:0.511134},{”id“:”https://openalex.org/keywords/fixed参数算法“,”display_name“:”固定参数算法“,”score“:0.509708},{”id“:”https://openalex.org/keywords/gaterging-algorithms(https://openalex.org/关键字/采集算法)“,”display_name“:”Gathering Algorithms“,”score“:0.504047},{”id“:”https://openalex.org/keywords/complement网站“,”display_name“:”补音(音乐)“,”score“:0.4430198}],”concepts“:[{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.7026034},{”id“:”https://openalex.org/C138600008,“wikidata”:https://www.wikidata.org/wiki/Q498144“,”display_name“:”Christofides algorithm“,”level“:4,”score“:0.5810229},{”id“:”https://openalex.org/C22590252,“wikidata”:https://www.wikidata.org/wiki/Q1058754“,”display_name“:”最短路径问题“,”level“:3,”score“:0.55504054},{”id“:”https://openalex.org/C148764684,“wikidata”:https://www.wikidata.org/wiki/Q621751“,”display_name“:”近似算法“,”level“:2,”score“:0.5425383},{”id“:”https://openalex.org/C64331007网址,“wikidata”:https://www.wikidata.org/wiki/Q831672“,”display_name“:”生成树“,”level“:2,”score“:0.49344745},{”id“:”https://openalex.org/C23394520,“wikidata”:https://www.wikidata.org/wiki/Q419350“,”display_name“:”最短路径树“,”level“:3,”score“:0.4677349},{”id“:”https://openalex.org/C2777735758,“wikidata”:https://www.wikidata.org/wiki/Q817765“,”display_name“:”Path(computing)“,”level“:2,”score“:0.44706702},{”id“:”https://openalex.org/C112313634,“wikidata”:https://www.wikidata.org/wiki/Q7886648“,”display_name“:”补音(音乐)“,”level“:5,”score“:0.4430198},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.4375949},{”id“:”https://openalex.org/C2778692605,“wikidata”:https://www.wikidata.org/wiki/Q4041866“,”display_name“:”Joins“,”level“:2,”score“:0.42812014},{”id“:”https://openalex.org/C175859090,“wikidata”:https://www.wikidata.org/wiki/Q322212“,”display_name“:”旅行推销员问题“,”level“:2,”score“:0.3935703},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.3789512},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198“,”display_name“:”计算机科学“,”level“:0,”score“:0.3547827},{”id“:”https://openalex.org/C11413529,“wikidata”:https://www.wikidata.org/wiki/Q8366“,”display_name“:”Algorithm“,”level“:1,”score“:0.25837332},{”id“:”https://openalex.org/C132525143,“wikidata”:https://www.wikidata.org/wiki/Q141488“,”display_name“:”Graph“,”level“:2,”score“:0.20028365},{”id“:”https://openalex.org/C55493867,“wikidata”:https://www.wikidata.org/wiki/Q7094“,”display_name“:”生物化学“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C185592680,“wikidata”:https://www.wikidata.org/wiki/Q2329“,”display_name“:”Chemistry“,”level“:0,”score“:0.0},{”id“:”https://openalex.org/C188082640,“wikidata”:https://www.wikidata.org/wiki/Q1780899“,”display_name“:”互补“,”level“:4,”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},{”id“:”https://openalex.org/C127716648,“wikidata”:https://www.wikidata.org/wiki/Q104053“,”display_name“:”Phenotype“,”level“:3,”score“:0.0},{”id“:”https://openalex.org/C104317684,“wikidata”:https://www.wikidata.org/wiki/Q7187“,”display_name“:”Gene“,”level“:2,”score“:0.0},{”id“:”https://openalex.org/C7668213,“wikidata”:https://www.wikidata.org/wiki/Q4949085“,”display_name“:”瓶颈旅行推销员问题“,”level“:3,”score“:0.0}],”mesh“:[],”locations_count“:4,”location“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/978-3-642-36694-9_31“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S106296714“,”display_name“:”计算机科学讲义“,”issn_l“:”0302-9743“,”isn“:[”0302-7743“、”1611-3349“],”is_oa“:false、”is_in_doaj“:false、”is_core“:true、”host_organization“:”https://openalex.org/P4310318900“,”“host_organization_name”:“Springer Science+Business Media”,“host_organization_lineage”:[“https://openalex.org/P431031965","https://openalex.org/P4310318900“],”host_organization_lineage_names“:[”Springer Nature“,”Springer-Science+Business Media“],“type”:“book-series”},“license”:null,“licence_id”:nul,“version”:null,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“https://arxiv.org/abs/1209.3523,“pdf_url”:https://arxiv.org/pdf/1209.3523,“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“:[”Cornell University“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},{“is_oa”:true,“landing_page_url”:“http://arxiv.org/abs/1209.3523,“pdf_url”:http://arxiv.org/pdf/1209.3523,“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“:[”Cornell University“],“type”:“repository”},“license”:null,“licence_id”:null,“version”:“submittedVersion”,“is_accepted”:false,“is_published”:false},{“is_oa”:false,“landing_page_url”:“https://api.datacite.org/dois/10.48550/arxiv.1209.3523“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S4393179698“,”display_name“:”DataCite API“,”issn_l“:null,”issn“:null,”is_oa“:true,”is_ in_doaj“:false,”is_core“:false,”host_organization“:”https://openalex.org/I4210145204“,”“host_organization_name”:“DataCite”,“host_organization_lineage”:[“https://openalex.org/I4210145204“],”host_organization_lineage_names“:[”DataCite“],“type”:“metadata”},“license”:null,“licence_id”:null,“version”:null}],“best_oa_location”:{“is_oa”:true,“landing_page_url”:“https://arxiv.org/abs/1209.3523,“pdf_url”:https://arxiv.org/pdf/1209.3523,“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},”sustainable_development_goals“:[],“grants”:[]https://openalex.org/W1546311336","https://openalex.org/W3101686738“],”referenced_works_count“:26,”referrenced_works“:[”https://openalex.org/W1557310162","https://openalex.org/W1714357736","https://openalex.org/W1965608008","https://openalex.org/W1983002996","https://openalex.org/W1999799345","https://openalex.org/W2009803313","https://openalex.org/W2012079975","https://openalex.org/W2012329067","https://openalex.org/W2027758271","https://openalex.org/W2038652993","https://openalex.org/W2043916130","https://openalex.org/W2051585135","https://openalex.org/W2064284095","https://openalex.org/W2083210138","https://openalex.org/W2087818742","https://openalex.org/W2107547393","https://openalex.org/W2136400551","https://openalex.org/W2162750432","https://openalex.org/W2258857078","https://openalex.org/W2340149117","https://openalex.org/W2497909753","https://openalex.org/W2578568589","https://openalex.org/W2949399323","https://openalex.org/W4212955877","https://openalex.org/W4292027170","https://openalex.org/W656060844“],”related_works“:[”https://openalex.org/W562960941","https://openalex.org/W4224251989","https://openalex.org/W4200179302网址","https://openalex.org/W3210931532","https://openalex.org/W2766731260","https://openalex.org/W2554237698","https://openalex.org/W2149927264","https://openalex.org/W2055574289","https://openalex.org/W2051378252","https://openalex.org/W1595757466“],”abstract_inverted_index“:{”We“:[0150],”prove“:[1],”the“:[2,7,25,46,71,76,86,901261421522223242],”approximation“:[3,77],”ratio“:[4,23118],”8/5“:[5119],”for“:[6,14,801147206],”metric“:[8],”$\\{s,t\\}$-path-TSP“:[9],”问题“:[10],”and“:[11,391011241 31169183244],“更多”:[12164],“一般”:[13],“最短”:[15111],“connected“:[16112],”$T$-joins。“:[17],”The“:[18117],”algorithm“:[19,33,97227],“that”:[20133221],“reaches”:[21],“this”:22105],“is”:[24,85120],“simple”:[26218],“Best”:[27],,“of”:[28,31,51,58,70,93110128144176197224241245],“Many”:[29],“version”:[30],“Christofides”:[32],“(1976),”:[34],“建议”:[35],“作者”:[36,65122200],“安”:[37129],“克莱伯格”:[38130],“Shmoys”:[40132],“(2012),”:[41],“which”:[42,84172],“composes”:[43134],“in”:[44135138158215],“determining”:[45],“best”:[47],“Christopides”:[48,95226],“$\\{s,t\}$-tour”:[49233],“out”:[50],“these”:[52],“constructed”:[53],“from”:[54],“a”:[55,611081]67174231],“家族”:[56],“$\\Fscr_{>0}$”:[57159],“树”:[59],“有”:[60],“凸”:[62],“组合”:[63],“支配”:[64],“an”:[66,82161208],“最优”:[67],“解决方案”:[68],“$x^*$”:[69],“分数”:[72247],“松弛”:[73248],“他们”:[74],“给予”:[75],“保证”:[78,92],“$\\frac{\\sqrt{5}+1}{2}$”:%79],“such”:[81],“美元\\{s,t \}$-tour,“:[83],”first“:[87],”improvement“:[88],”after“:[89],”5/3“:[91],”Hoogeveen’s“:[94],”type“:[96],“(1991).”:[98],“Cheriyan,”:[99],“Friggstad”:[100],“Gao”:[102],“(2012)”:[103],“扩展”:[104],“结果”:[106],“到”:[107140187202],“13/8近似”:[109],“$T$-联接”:[113],“$|T|\\ge”:[115],“4$.”:[116],“证明”:[121],“简化”:[123],“改进”:[125],“方法”:[127],“完成”:[136],“$x^*/2$”:[137189207],“顺序”:[139],“支配”:[141],“cost”:[143],“\”parity“:[145],“correction”“:[146],”spanning“:[148156],”trees“:[149],”partition“:[151],”edge set“:[153],”each“:[155203],”tree“:[157],”into“:[160166],”$\\{s,t\\}$-path“:[162],”(或“:[163],”一般而言,“:[165],”$t$join“:[168],”its“:[170246],“补体”:[171],“诱导”:[173],“分解”:[175179],“$x^*$.”:[177216],“这个”:[178],“can”:[180],“be”:[181],“refined”:[182],“then”:[184],“effectively”:[185],“used”:[186],“complete”:[188],“without”:[190],“use”:[191],“linear”:[192],“programming”:[193],“or”:[194],“special”:[195],“properties”:[196],“$T$,”:[198],“but”:[199],“adding”:[201],“切割”:[204],“缺陷”:[205],“单独”:[209],“裁剪”:[210],“明确”:[211],“给定”:[212],“向量”,“:[213],“固有”:[214],“A”:[217],“示例”:[219],“显示”:[220],“最佳”:[223],“多”:[225],“可以”:[228],“不”:[229],“查找”:[230],“短”:[232],“比”:[234],“3/2”:[235],“次数”:[236],“附带”:[238],“常见”:[239],“optima”:[240],“problem”:[243]},“cited_by_api_url”:“https://api.openalex.org/works?filter=cites:W3101686738“,”“counts_by_year”:[{“年份”:2022,”“cited_by_count”:2},{“年度”:2021,”“cited_by_cunt”:4},}“年份“:2020,”“cited_by-count”“:5},”“年份”“:2019,”“:2015,”cited_by_count“:3},{“年份”:2014,”cited_by_count,“updated_date”:“2024-09-19T03:18:57.849654”,“创建日期”:“2020年11月23日”}