{“id”:“https://openalex.org/W2078559358“,”doi“:”https://doi.org/10.1016/0012-365x网址(95)00070-d“,”title“:”单纯形图最大亏格的紧下界“,”display_name“:”单纯形图的最大亏格上的紧下限“,”publication_year“:1996,”publitation_date“:”1996-09-01“,“ids”:{“openalex”:“https://openalex.org/W2078559358“,”doi“:”https://doi.org/10.1016/0012-365x网址(95)00070-d“,”mag“:”2078559358“},”language“:”en“,”primary_location“:{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1016/0012-365x网址(95)00070-d“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S18902827“,”display_name“:”离散数学“,”issn_l“:”0012-365X“,”isn“:[”0012-365X“,“1872-681X”],”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”:“cc-by-nc-nd”,“licence_id”:“https://openalex.org/licenses/cc-by-nc-nd“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},”type“:”article“,”type_crossref“:”期刊文章“,”indexed_in“:[”crossref“],”open_access“:{”is_oa“:true,”oa_status“:”hybrid“,”oa_url“:”https://doi.org/10.1016/0012-365x网址(95)00070-d“,”any_repository_has_fulltext“:false},”作者身份“:[{”作者位置“:”第一个“,”作者“:{”id“:”https://openalex.org/A5023394727“,”display_name“:”陈剑儿“,”orcid“:null},”机构“:[{”id“:”https://openalex.org/I91045830“,”display_name“:”德克萨斯农工大学“,”ror“:”https://ror.org/01f5ytq51“,”country_code“:”US“,”type“:“教育”,”世系“:[”https://openalex.org/I91045830“]}],”countries“:[”US“],”is_corresponding“:false,”raw_author_name“:”Jiner Chen“,”raw_affiation_strings“:[”德克萨斯农工大学计算机科学系,College Station,TX 77843-3112,USA“]},{”author_position“:”middle“,”author“:{”id“:”https://openalex.org/A5004218816“,”display_name“:”Saroja Kanchi“,”orcid“:null},”institutions“:[],”countries“:[”US“],”is_corresponding“:false,”raw_author_name“:”Saroha P.Kanchii“,”raw _affiliation_strings“:【”GMI Engineering and Management Institutes科学与数学系,Flint,MI 48504,USA“】},{”author_position“:”last“,”author“:{”id“:”https://openalex.org/A5011936459“,”display_name“:”Joachim Gro\u00df“,”orcid“:”https://orcid.org/0000-0002-3994-1006},“机构”:[{“id”:https://openalex.org/I78577930“,”display_name“:”哥伦比亚大学“,”ror“:”https://ror.org/00hj8s172“,”country_code“:”US“,”type“:“教育”,”世系“:[”https://openalex.org/I78577930“]}],”国家“:[”美国“],”is_corresponding“:true,”raw_author_name“:”Jonathan L.Gross“,”raw _affiliation_strings“:[“美国纽约州纽约市哥伦比亚大学计算机科学系”]}],”countries_distict_count“:1,”institutions_disticent_count“:2,”corresponding_author_ids“:【”https://openalex.org/A5011936459“],”对应的机构ID“:[”https://openalex.org/I78577930“],”apc_list“:{”value“:3000,”currency“:”USD“,”value_USD“:3000 lio“:{”volume“:”156“,”issue“:”1-3“,”first_page“:”83“,”last_page“:“102“},”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/T12541“,”display_name“:”图形标记和维度问题“,”score“:0.997,”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/T11329“,”display_name“:”图论中的极限与结构“,”score“:0.9962,”subfield“:{”id“:”https://openalex.org/subfields/2607“,”display_name“:”离散数学与组合数学“},”field“:{”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/graph-limits网站“,”display_name“:”Graph Limits“,”score“:0.559118}],”concepts“:[{”id“:”https://openalex.org/C33923547,“wikidata”:https://www.wikidata.org/wiki/Q395“,”display_name“:”数学“,”等级“:0,”分数“:0.8575574},{”id“:”https://openalex.org/C114614502,“wikidata”:https://www.wikidata.org/wiki/Q76592“,”display_name“:”组合数学“,”level“:1,”score“:0.8163216},{”id“:”https://openalex.org/C3469331,“wikidata”:https://www.wikidata.org/wiki/Q7520902“,”display_name“:”单纯形同源“,”level“:3,”score“:0.5211592},{”id“:”https://openalex.org/C187929450,“wikidata”:https://www.wikidata.org/wiki/Q994399“,”display_name“:”简单复数“,”level“:2,”score“:0.47445926},{”id“:”https://openalex.org/C132525143,“wikidata”:https://www.wikidata.org/wiki/Q141488“,”display_name“:”Graph“,”level“:2,”score“:0.45137137},{”id“:”https://openalex.org/C118615104,“wikidata”:https://www.wikidata.org/wiki/Q121416“,”display_name“:”离散数学“,”level“:1,”score“:0.4492213},{”id“:”https://openalex.org/C157369684,“wikidata”:https://www.wikidata.org/wiki/Q34740“,”display_name“:”Genus“,”level“:2,”score“:0.43123657},{”id“:”https://openalex.org/C59822182网址,“wikidata”:https://www.wikidata.org/wiki/Q441“,”display_name“:”植物学“,”level“:1,”score“:0.12048954},{”id“:”https://openalex.org/C86803240,“wikidata”:https://www.wikidata.org/wiki/Q420“,”display_name“:”Biology“,”level“:0,”score“:0.0}],”mesh“:[],”locations_count“:1,”location“:[{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1016/0012-365x网址(95)00070-d“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S18902827“,”display_name“:”离散数学“,”issn_l“:”0012-365X“,”isn“:[”0012-365X“,“1872-681X”],”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”:“cc-by-nc-nd”,“licence_id”:“https://openalex.org/licenses/cc-by-nc-nd“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true}],”best_oa_location“:{”is_oa“:true,”landing_page_url“:”https://doi.org/10.1016/0012-365x网址(95)00070-d“,”pdf_url“:空,”源“:{”id“:”https://openalex.org/S18902827“,”display_name“:”离散数学“,”issn_l“:”0012-365X“,”isn“:[”0012-365X“,“1872-681X”],”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”:“cc-by-nc-nd”,“licence_id”:“https://openalex.org/licenses/cc-by-nc-nd“,”version“:”publishedVersion“,”is_accepted“:true,”is_published“:true},”sustainable_development_goals“:[],”grants“:[],”datasets“:],”versions“:[https://openalex.org/W1535374253","https://openalex.org/W1558273801","https://openalex.org/W1963619425","https://openalex.org/W1964406530","https://openalex.org/W1973772185","https://openalex.org/W1978405197","https://openalex.org/W1984200310","https://openalex.org/W1986594807","https://openalex.org/W1990733696","https://openalex.org/W2010294998","https://openalex.org/W2018165886","https://openalex.org/W2030278078","https://openalex.org/W2030792796","https://openalex.org/W2032762856","https://openalex.org/W2041581800","https://openalex.org/W2055925608","https://openalex.org/W2058254119","https://openalex.org/W2071534778","https://openalex.org/W2085320704","https://openalex.org/W2087811472","https://openalex.org/W2088320806","https://openalex.org/W2121281795","https://openalex.org/W2321239948网址","https://openalex.org/W4294620451","https://openalex.org/W4696356“],”related_works“:[”https://openalex.org/W4306903774","https://openalex.org/W4293876220","https://openalex.org/W4226322581","https://openalex.org/W3003396734","https://openalex.org/W2953190840","https://openalex.org/W2950120006","https://openalex.org/W287883068","https://openalex.org/W2072673834","https://openalex.org/W1992772797","https://openalex.org/W1978042415“],”ngrams_url“:”https://api.openalex.org/works/W2078559358/ngrams“,”“abstract_inverted_index”:{“It”:[0,49],“is”:[1,50,57],“proved”:[2],“that”:[3,30,53,65],“every”:[4,31],“connected”:[5],“simplicia”:[6,33],“graph”:[7,34],“with”:[8],“minimum”:[9],“valence”:[10],“at”:[11,17],“least”:[12,18],“thire”:[13],“has”:[14,3]7],“最大值”:[15,76],“属”:[16,77],“四分之一”:[19],“of”:[20],“its”:[21],“cycle”:[22],“rank.”:[23],“This”:[24,73],“following”:[25],“from”:[26],“the”:[27],“technical”:[28],“result”:[29,74],“3-regular”:[32],“except”:[35],“K4”:[36],“a”:[38],“Xung”:[39],“co-tree”:[40],“which”:[41],“odd”:[42],“components”:[43],“have”:[44],“only”:[45],“onent”:[46],“边缘”:[47],“每个”:[48],“已证明”:[51],“此外”:[52],“此”:[54],“下”:[55],“绑定”:[56],“紧”:[58],“然而,”:[59],“示例”:[60],“是”:[61],“使用”:[62],“到”:[63,70,79],“图解”:[64],“它”:[66],“做”:[67],“不”:[68],“应用”:[69],“非简单”:[71],“图形。”:[72],“on”:[75],“线索”:[78],“多个”:[80],“立即”:[81],“后果”:[82],“for”:[83],“average”:[84],“gen属”:[85]},“cited_by_api_url”:“https://api.openalex.org/works?filter=cites:W2078559358“,”counts_by_year“:[{“年份”:2024,”cited_by_count“:1},{“年度”:2018,”ciped_by_cunt“:1},”{“年”:2014,“cited_by_count”:2},“年份”:2013,”cited_by_count