{“id”:“https://openalex.org/W1271872764“,”doi“:”https://doi.org/10.1007/978-3-642-22006-7_60“,”title“:”The Complexity of Symmetric Boolean Parity Holant Problems“,”display_name“:”The Complexistity of Symbetric Boolean Parity Holant问题“,”publication_year“:2011,”publitation_date“:”2011-01-01“,”ids“:{”openalex“:”https://openalex.org/W1271872764“,”doi“:”https://doi.org/10.1007/978-3-642-22006-7_60“,”mag“:”1271872764“},”language“:”en“,”primary_location“:{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/978-3-642-22006-7_60“,”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“:”图书系列“},”license“:null,”license_id“:null,”version“:null,”is_accepted“:false,”is_published“:false},”type“:”图书章节“,”type_crossref“:”图书章节“,”indexed_in“:[”crossref“],”open_access“:{”is_oa“:false,”oa_status“:”closed“,”oa_url“:null”,“any_repository_has_fulltext“:false},”作者身份“:[{”作者位置“:”第一个“,”作者“:{”id“:”https://openalex.org/A5022706581“,”display_name“:”Heng Guo“,”orcid“:”https://orcid.org/0000-0003-1523-8348},“机构”:[{“id”:https://openalex.org/I135310074“,”display_name“:”威斯康星大学\u2013Madison“,”ror“:”https://ror.org/01y2jtd41“,”country_code“:”US“,”type“:“教育”,”世系“:[”https://openalex.org/I135310074“]}],”国家“:[”美国“],”is_corresponding“:false,”raw_author_name“:”Heng Guo“,”raw _ afiliation_strings“:[“威斯康星大学麦迪逊分校,#TAB#”],”affiliations“:[{”raw_ afiliation _string“:”威斯康星-麦迪逊大学,#TAB#“,”institution_ids“:]”https://openalex.org/I135310074“]}]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5025408809“,”display_name“:”Pinyan Lu“,”orcid“:”https://orcid.org/0000-0001-5894-9268},“机构”:[{“id”:https://openalex.org/I1290206253“,”display_name“:”Microsoft(美国)“,”ror“:”https://ror.org/00d0nc645“,”country_code“:”US“,”type“:“company”,”lineage“:[”https://openalex.org/I1290206253“]}],”国家“:[”美国“],”is_corresponding“:false,”raw_author_name“:”Pinyan Lu“,”raw _ afiliation_strings“:[“Microsoft Research Asia,USA”],”affiliations“:[{”raw_ afiliation _string“:”Microsoft Research-Asia,USA“,”institution_ids“:[”https://openalex.org/I1290206253“]}]},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5015531084“,”display_name“:”Leslie G.Valiant“,”orcid“:null},”institutions“:[{”id“:”https://openalex.org/I2801851002“,”display_name“:”哈佛大学出版社“,”ror“:”https://ror.org/006v7bf86“,”country_code“:”US“,”type“:“other”,”seriance“:[”https://openalex.org/I136199984","https://openalex.org/I2801851002“]}],”国家“:[“美国”],”is_corresponding“:false,”raw_author_name“:”Leslie G.Valiant“,”raw _ afiliation_strings“:[”哈佛大学,美国“],”affiliations“:[{”raw_ afiliation _string“:”哈佛大学(美国),“institution_ids”:[”https://openalex.org/I2801851002“]}]}],”countries_distinct_count“:1,”institutions_distinact_counts“:3,”corresponding_author_ids“:[],”corresponding_institution_ids”:[]、“apc_list”:{“value”:5000,“currency”:“EUR”,“value_usd”:5392,“provenance”:“doaj”},“apc_payed”:null,“fwci”:3.3,“has_fulltext”:false,“cited_by_count”:8,“cited_by_by_percentile”_年份:{“最小”:85,“最大”:86},“书目”:{volume“:null,”issue“:nul,”first_page“:”712“,”last_page“:”723“},”is_retracted“:false,”is_paratext“:fase,”primary_topic“:{”id“:”https://openalex.org/T10374“,”display_name“:”图论与算法“,”score“:0.9999,”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“:0.9999,”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“:0.9997,”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/T11567“,”display_name“:”自动机理论和形式语言“,”score“:0.9974,”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/constraint-satisfaction-problems“,”display_name“:”约束满足问题“,”score“:0.546144},{”id“:”https://openalex.org/keywords/parameterized-complexity网站“,”display_name“:”参数化复杂性“,”score“:0.529764},{”id“:”https://openalex.org/keywords/state-complexity网站“,”display_name“:”状态复杂性“,”score“:0.508009},{”id“:”https://openalex.org/keywords/complexity-classification网站“,”display_name“:”复杂性分类“,”score“:0.501037}],”concepts“:[{”id“:”https://openalex.org/C311688,“wikidata”:https://www.wikidata.org/wiki/Q2393193“,”display_name“:”时间复杂性“,”level“:2,”score“:0.585375},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.56328624},{”id“:”https://openalex.org/C4042151,“wikidata”:https://www.wikidata.org/wiki/Q215111“,”display_name“:”同态“,”level“:2,”score“:0.5632792},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.53857607},{”id“:”https://openalex.org/C199622910,“wikidata”:https://www.wikidata.org/wiki/Q1128326“,”display_name“:”约束满足问题“,”level“:3,”score“:0.53676635},{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.5294062},{”id“:”https://openalex.org/C2777151079,“wikidata”:https://www.wikidata.org/wiki/Q141160“,”display_name“:”奇偶校验(物理)“,”level“:2,”score“:0.5047902},{”id“:”https://openalex.org/C2777212361,“wikidata”:https://www.wikidata.org/wiki/Q5127848“,”display_name“:”类(哲学)“,”级别“:2,”分数“:0.48197097},{”id“:”https://openalex.org/C39637292,“wikidata”:https://www.wikidata.org/wiki/Q908207“,”display_name“:”复杂性类“,”level“:3,”score“:0.45420003},{”id“:”https://openalex.org/C179799912,“wikidata”:https://www.wikidata.org/wiki/Q205084“,”display_name“:”计算复杂性理论“,”level“:2,”score“:0.4390896},{”id“:”https://openalex.org/C41008148,“wikidata”:https://www.wikidata.org/wiki/Q21198“,”display_name“:”计算机科学“,”level“:0,”score“:0.35277992},{”id“:”https://openalex.org/C11413529,“wikidata”:https://www.wikidata.org/wiki/Q8366“,”display_name“:”Algorithm“,”level“:1,”score“:0.15697408},{”id“:”https://openalex.org/C105795698,“wikidata”:https://www.wikidata.org/wiki/Q12483“,”display_name“:”Statistics“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C121332964,“wikidata”:https://www.wikidata.org/wiki/Q413“,”display_name“:”物理“,”级别“:0,”分数“:0.0},{”id“:”https://openalex.org/C109214941,“wikidata”:https://www.wikidata.org/wiki/Q18334“,”display_name“:”粒子物理“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C154945302,“wikidata”:https://www.wikidata.org/wiki/Q11660“,”display_name“:”人工智能“,”level“:1,”score“:0.0},{”id“:”https://openalex.org/C49937458,“wikidata”:https://www.wikidata.org/wiki/Q2599292“,”display_name“:”概率逻辑“,”level“:2,”score“:0.0}],”mesh“:[],”locations_count“:1,”location“:[{”is_oa“:false,”landing_page_url“:”https://doi.org/10.1007/978-3-642-22006-7_60“,”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”:null,“version”:null,“is_accepted”:false,“is_published”:false}],“best_oa_location”:nul,“sustainable_development_goals”:[],“grants”:[],“dataset”:[]],“versions”:[】,“referenced_works_count”:26,“referenced_works“:[”https://openalex.org/W1485836178","https://openalex.org/W1549764781","https://openalex.org/W1559445597","https://openalex.org/W1571873445","https://openalex.org/W1604555488","https://openalex.org/W1699142814","https://openalex.org/W1983867193","https://openalex.org/W1997649256","https://openalex.org/W2005716876","https://openalex.org/W2006912660","https://openalex.org/W2020273705","https://openalex.org/W2032292489","https://openalex.org/W2052936500","https://openalex.org/W2057512592","https://openalex.org/W2083443606","https://openalex.org/W2091345559","https://openalex.org/W2123280677","https://openalex.org/W2145707075","https://openalex.org/W2150339067","https://openalex.org/W2165676867","https://openalex.org/W2170913548","https://openalex.org/W2174085268","https://openalex.org/W2293541501","https://openalex.org/W2294003223","https://openalex.org/W3124201190网址","https://openalex.org/W4251672886“],”related_works“:[”https://openalex.org/W3003471035","https://openalex.org/W270168689","https://openalex.org/W2547722307","https://openalex.org/W2178588595","https://openalex.org/W2132910148","https://openalex.org/W2129131081","https://openalex.org/W2122631741","https://openalex.org/W2086025566","https://openalex.org/W2042051386","https://openalex.org/W1702487489“],”ngrams_url“:”https://api.openalex.org/works/W1271872764/ngrams网站“,”“abstract_inverted_index”:{“For”:[0],“sequent”:[1],“subscripted”:[2140],“of”:[3,73,82109114131],“NP,”:[4150],“\u2295P”:[5134],“or”:[6,36],“#P”:[7151],“characterized”:[8],“by”:[9],“local”:[10],“constraints,”:[11],“it”:[12],“is”:[13118123],“known”:[14],“that”:[15,21,28117],“if”:[16],“there”:[17],“existing”:[18],“any”:[19115],“问题“:[20,32],”是“:[22,33],”不是“:[2319],”多项式“:[24120],”时间“:[25121],”可计算“:[26122],”在“:[27141],”子类,“:[29],“那么”:[30],“那些”:[31],“NP-,”:[34],“\u2295P-”:[35],“#P-complete。“:[37],”这样“:[38],”二分法“:[39,66100],”结果“:[40],”有“:[41,86],”被“:[42],”证明“:[43],”对于“:[44,68,79103149156],”特征“:[45],”那样“:[46],”作为“:[47],”约束“:[48],”满足“:[49],”问题“:[50,57],”和“:[51,53152],”定向“:[52],”“:[54],”图“:[55],”同态“:[56],”经常“:[58],”with“:[59],”附加“:[60],”限制。“:[61],”这里“:[62],”我们“:[63,97],”给定“:[64],”a“:[65],”结果“:[67,96126],”the“:[69,80,99104132146],”more“:[70],”expressiver“:[71],”framework“:[72],”Holant“:[74112],”问题。“:[75],”这些“:[76],”另外“:[77],”允许“:[78],”表达式“:[81],”匹配“:[83],”问题“:[84],”其中“:[85],”有“:[87],”关键“:[88],”角色“:[89],”in“:[90],”复杂性“:[91],”理论。“:[92],”As“:[93],”our“:/94],”main“:[95],”prove“:[98],”定理“:[101],”that“:[102],”class“:[105133],”\u2295P“:[106],”every“:[107],”set“:[108],”boolean“:[110],”symmetric“:[111],”signatures“:[113],”arities“:[116],”\ u2295P-complete。“:[124],”The“:[125],”exploits“:[127],”some“:[128],”special“:[129],”properties“:[130],”characteries“:%136],”four“:[137],”distinct“:[138],”tractable“:[139],”\u2295P。“:[142],”它“:[143],”离开“:[144],”打开“:[145],”对应“:[147],”问题“:[148],”#“:[153],”k“:[154157],”P“:[155],”\u2260“:[158],”2.“:[159]},”cited_by_api_url“:”https://api.openalex.org/works?filter=cites:W1271872764“,”counts_by_year“:[{“年份”:2013,”cited_by_count“:4},{“年度”:2012,”cited_by_count”:2}],”updated_date“:”2024-06-25T09:47:38.260374“,”created_date:“2016-06-24”}