{“id”:“https://openalex.org/W2963426954“,”doi“:”https://doi.org/10.1016/j.aam.2017.01.005“,”title“:“带双顶点的签名图的临界理想”,”display_name“:”带双顶点签名图的关键理想“,”publication_year“:2017,”publitation_date“:”2017-05-01“,”ids“:{”openalex“:”https://openalex.org/W2963426954“,”doi“:”https://doi.org/10.1016/j.aam.2017.01.005“,”mag“:”2963426954“},”language“:”en“,”primary_location“:{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1016/j.aam.2017.01.005“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S164906323“,”display_name“:”应用数学进展“,”issn_l“:”0196-8858“,”isn“:[”01968-8858“,”1090-2074“],”is_oa“:false,”is_in_doaj“:false,”host_organization“:”https://openalex.org/P4310320990“,”“host_organization_name”:“Elsevier BV”,“host_organization_lineage”:[“https://openalex.org/P4310320990“],”host_organization_lineage_names“:[”Elsevier BV“],“type”:“journal”},“license”:“publisher-specific-oa”,“licence_id”:“https://openalex.org/licenses/publisher-specific-oa“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},”type“:”article“,”type_crossref“:“journal-article”,”indexed_in“:[”crossref“],”open_access“:{”is_oa“:true,”oa_status“:”青铜“,”oa_url“:”https://doi.org/10.1016/j.aam.2017.01.005“,”any_repository_has_fulltext“:true},”authorships“:[{”author_position“:”第一“,”作者“:{”id“:”https://openalex.org/A5063863965“,”display_name“:”Carlos A.Alfaro“,”orcid“:”https://orcid.org/0000-0001-9783-8587},“机构”:[{“id”:https://openalex.org/I29300151“,”display_name“:”墨西哥银行“,”ror“:”https://ror.org/02xp9d883“,”“country_code”“:”MX“,”type“:”other“,”lineage“:[”https://openalex.org/I29300151“]}],”国家“:[”MX“],”is_corresponding“:false,”raw_author_name“:”Carlos A.Alfaro“,”raw _ afiliation_strings“:[“墨西哥墨西哥银行,691,M\u00f3dulo IV,Col.Irrigaci\u00f 3n,11500 Ciudad de M\u00e9xico,Mexico”]},{“author_position”:“middle”,“author”:{“id”https://openalex.org/A5014672623“,”display_name“:”Hugo Corrales“,”orcid“:null},”institutions“:[],”countries“:[”MX“],”is_corresponding“:false,”raw_author_name“:”雨果·科拉莱斯“,”raw _affiliation_strings“:【”Escuela Superior de Econom\u00eda,Plan de Agua Prieta No.66,Col.Plutarco El\u00etas Calles,11340 Ciudad de M\u00e9xico,Mexico“]},{”author_position“:”last,“作者”:{“id”:https://openalex.org/A5091188944“,”display_name“:”Carlos E.Valencia“,”orcid“:”https://orcid.org/0000-0002-3168-8237},“机构”:[{“id”:https://openalex.org/I68368234“,”display_name“:”国立理工学院研究与高级研究中心“,”ror“:”https://ror.org/009eqmr18“,”country_code“:”MX“,”type“:”设施“,”沿袭“:[”https://openalex.org/I59361560","https://openalex.org/I68368234“]}],”国家“:[”MX“],”is_corresponding“:true,”raw_author_name“:”Carlos E.Valencia“,”raw _affiliation_strings“:[“Departamento de Matem\u00e1ticas,Centro de Investigaci\u00f3n y de Estudios Avanzados del IPN,Apartado Postal 14-740,07000 Ciudad de M\u00e 9xico,Mexico”]}]corresponding_author_id“:[”https://openalex.org/A5091188944“],”对应的机构ID“:[”https://openalex.org/I68368234“],”apc_list“:{”value“:2670,”currency“:”USD“,”value_USD“:26700,”provenance“:”doaj“},”apc _payed“:{”value”:2670、”current“:”美元“,”value_USD”:26700、“provenance”:“doaj”}、”has_fulltext“:true,”fulltext_origin“:”ngrams“,”cited_by_count“:14,”citted_by_percentile_year“:”{“min”:89,“max”:90},“biblio”:{“volume”:“86”,“issue”:null,“first_page”:“99”,“last_page”:”131“},“is_retracted”:false,“is_paratext”:false,“primary_topic”:{“id”:“https://openalex.org/T11476“,”display_name“:”图谱和拓扑指数“,”score“:0.9998,”subfield“:{”id“:”https://openalex.org/subfields/2608“,”display_name“:”几何和拓扑“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},”主题“:[{”id“:”https://openalex.org/T11476“,”display_name“:”图谱和拓扑指数“,”score“:0.9998,”subfield“:{”id“:”https://openalex.org/subfields/2608“,”display_name“:”几何和拓扑“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T12069“,”“display_name”:“单项式理想和代数性质”,“score”:0.9943,“subfield”:{“id”:“https://openalex.org/subfields/2602“,”display_name“:”代数与数论“},”字段“:{”id“:”https://openalex.org/fields/26“,”display_name“:”Mathematics“},”domain“:{”id“:”https://openalex.org/domains/3“,”display_name“:”物理科学“}},{”id“:”https://openalex.org/T10374“,”display_name“:”图论与算法“,”score“:0.9938,”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/edge-ideals(https://openalex.org/keywords/edge-ideals)“,”display_name“:”Edge Ideals“,”score“:0.502753}],”concepts“:[{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.8449441},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.8196976},{”id“:”https://openalex.org/C80899671,“wikidata”:https://www.wikidata.org/wiki/Q1304193“,”display_name“:”Vertex(图论)“,”level“:3,”score“:0.58498144},{”id“:”https://openalex.org/C2993105083,“wikidata”:https://www.wikidata.org/wiki/Q141488“,”display_name“:”Simple graph“,”level“:3,”score“:0.50009346},{”id“:”https://openalex.org/C132525143,“wikidata”:https://www.wikidata.org/wiki/Q141488“,”display_name“:”Graph“,”level“:2,”score“:0.45898566},{”id“:”https://openalex.org/C9376300,“wikidata”:https://www.wikidata.org/wiki/Q168817“,”display_name“:”代数数“,”level“:2,”score“:0.41926175},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.41468102},{”id“:”https://openalex.org/C134306372,“wikidata”:https://www.wikidata.org/wiki/Q7754“,”display_name“:”数学分析“,”level“:1,”score“:0.0}],”mesh“:[],”locations_count“:2,”location“:[{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1016/j.aam.2017.01.005“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S164906323“,”display_name“:”应用数学进展“,”issn_l“:”0196-8858“,”isn“:[”01968-8858“,”1090-2074“],”is_oa“:false,”is_in_doaj“:false,”host_organization“:”https://openalex.org/P4310320990“,”“host_organization_name”:“Elsevier BV”,“host_organization_lineage”:[“https://openalex.org/P4310320990“],”host_organization_lineage_names“:[”Elsevier BV“],“type”:“journal”},“license”:“publisher-specific-oa”,“licence_id”:“https://openalex.org/licenses/publisher-specific-oa“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},{”is_oa“:true,”landing_page_url“:”https://arxiv.org/abs/1504.06257,“pdf_url”:https://arxiv.org/pdf/1504.06257,“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,”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://doi.org/10.1016/j.aam.2017.01.005“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S164906323“,”display_name“:”应用数学进展“,”issn_l“:”0196-8858“,”isn“:[”01968-8858“,”1090-2074“],”is_oa“:false,”is_in_doaj“:false,”host_organization“:”https://openalex.org/P4310320990“,”“host_organization_name”:“Elsevier BV”,“host_organization_lineage”:[“https://openalex.org/P4310320990“],”host_organization_lineage_names“:[”Elsevier BV“],“type”:“journal”},“license”:“publisher-specific-oa”,“licence_id”:“https://openalex.org/licenses/publisher-specific-oa“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},”sustainable_development_goals“:[],”grants“:[],”datasets“:],”versions“:[https://openalex.org/W1910083634","https://openalex.org/W1969007985","https://openalex.org/W2006901982","https://openalex.org/W2013190996","https://openalex.org/W2020581731","https://openalex.org/W2020915184","https://openalex.org/W2040967704","https://openalex.org/W2069858113","https://openalex.org/W2087694003","https://openalex.org/W2105321516","https://openalex.org/W2106963958","https://openalex.org/W2205557965","https://openalex.org/W2254723345","https://openalex.org/W409380395“],”related_works“:[”https://openalex.org/W4310825608","https://openalex.org/W3206431649","https://openalex.org/W3046126138","https://openalex.org/W2951305269","https://openalex.org/W2897806428","https://openalex.org/W2805115653","https://openalex.org/W2391518723","https://openalex.org/W2078517125","https://openalex.org/W2010965931","https://openalex.org/W1022875430“],”ngrams_url“:”https://api.openalex.org/works/W2963426954/ngrams网站“,”“abstract_inverted_index”:{“This”:[0],“paper”:[1],“studies”:[2],“critical”:[3111123143184203],“ideas”:[4,3311224182195204],“of”:[5,19,34,93,99103109113125130145166179183196205209215222232372666],“graphs”:[6,35,94217239248],“with”:[7,13240],“twin”:[8,37267],“顶点,”:[9],“which”:[10],“是”:[11,22,27],“顶点”:[12,21,38],“the”:[14,55,68,91,96110122135141152163169180193202206231238],“same”:[15,97],“neighbors”。“:[16],”A“:[17],”pair“:[18265],”such“:[20,80139],”call“:[23],”replicated“:[24],”if“:[25,85],”they“:[26],“neighbor,”:[28],“and”:[29,42,50,83,87211218],”duplicated“,”:[30],“otherwise。“:[31],”关键“:[32],”具有“:[36257],”有“:[39198249],”良好“:[40],”属性“:[41],”显示“:[43150191],”常规“:[44],”模式。“:[45],”给定“:[46],”a“:[47114131176186250255],”graph“:[48,56115132157256],”G=(V,E)“:[49],”d\u2208Z|V|,“:[51],”let“:[52],”Gd“:[53197],”be“:[54,90119173],”get“:[57],”from“:[58],”G“:[59133146210],”by“:[60121175],”复制“:[61],“dv”:[62],“次数”:[63,67],“或”:[64,73101],“复制”:[65],“\u2212dv”:[66],“顶点”:[69],“v“:[70],”when“:[71],”dv>0“:[72],”。“:[75],”此外,“:[76618],”给定“:[77],”\u03b4\u2208{0,1,\u22121}|V|,“:[78],”letT\u03b4(G)={Gd:d\u2208Z|V|“:[79],”that“:[811401151192246],”dv=0T\u03b4(G)={Gd:if”:[82],“only”:[84],“\u03b4v=0”:[86],“dv\u03b4v=0”4v>0“:[88],”其他}“:[89],”集合“:[9213220],”共享“:[95],”模式“:[98],”重复“:[100],”复制“:[102],”顶点。“:[104242268],“更多”:[105],“比”:[106],“一”:[107264],“一半”:[108],“in”:[116158],“T\u03b4(G)”:[1171159],“can”:[118172],“determined”:[120174],“G.”:[126184],“The”:[127],“algical”:128153164170235252259],“co-rank”:[129154165171236260],“is”:[134147160],“maximum”:[136],“整数”:[137],“i”:[138],“i-th”:[142],“理想”:[144],“琐碎的。“:[148],“We”:[149],“any”:[156],“equal”:[161],“to”:[162201],“G\u03b4.”:[167],“simple”:[177],“evaluation”:[178],“For”:[185],“large”:[187251],“enough”:[188],“d_2208ZV(G),”:[189],“We”:[C90226],“samilar”:[199],“behavior”:[200],“disjoint”:[207],“联合”:[208],“某些”:[21219],“{Knv}{v\u2208V(G“:[221],”琐碎“:[223],”图形。“:[224],”另外,“:[225],”姿势“:[227],”重要“:[228],”猜测“:[229244],”关于“:[230],”分布“:[232],”双胞胎“:[241],”这些“:[243],”暗示“:[245],”无双胞胎“:[247],”同级“:[253],”同时“:[254],”小“:[258],”有“:[261],”至少“:[262],”:[263]},“引用_ by_api_url”:“https://api.openalex.org/works?filter=cites:W2963426954“,”“counts_by_year”:[{“年份”:2022,”“cited_by_count”:1},{“年度”:2021,”“cited_by_cunt”:1},}“年份“:2020,”“cited_by-count”“:4},”“年份”“:2019,”“cuted_by_count”(引用_by_contount):1},”“年”:2018,”“引用_by/count”“,”创建日期“:”2019-07-30“}