{"id":"https://openalex.org/W3118198178","doi":"https://doi.org/10.1137/20m1360505","title":"Erratum: The Bollob\u00e1s--Scott Conjecture for 4-Uniform Hypergraphs","display_name":"Erratum: The Bollob\u00e1s--Scott Conjecture for 4-Uniform Hypergraphs","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3118198178","doi":"https://doi.org/10.1137/20m1360505","mag":"3118198178"},"language":"en","primary_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m1360505","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/20M1360505","source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"type":"erratum","type_crossref":"journal-article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://epubs.siam.org/doi/pdf/10.1137/20M1360505","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5103008890","display_name":"Jianfeng Hou","orcid":"https://orcid.org/0009-0008-3791-6107"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jianfeng Hou","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074290333","display_name":"Shufei Wu","orcid":"https://orcid.org/0000-0002-7541-7375"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shufei Wu","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078897190","display_name":"Qinghou Zeng","orcid":"https://orcid.org/0000-0001-9476-210X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Qinghou Zeng","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5100413098","display_name":"Wenxing Zhu","orcid":"https://orcid.org/0000-0002-8698-0024"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Wenxing Zhu","raw_affiliation_strings":[],"affiliations":[]}],"institution_assertions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":true,"fulltext_origin":"pdf","cited_by_count":0,"citation_normalized_percentile":{"value":0.0,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":0,"max":60},"biblio":{"volume":"34","issue":"4","first_page":"2583","last_page":"2584"},"is_retracted":false,"is_paratext":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9975,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9975,"subfield":{"id":"https://openalex.org/subfields/2607","display_name":"Discrete Mathematics and Combinatorics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9932,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11797","display_name":"graph theory and CDMA systems","score":0.9915,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.82341427},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.8074399},{"id":"https://openalex.org/keywords/counterexample","display_name":"Counterexample","score":0.64754665}],"concepts":[{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.82341427},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8074399},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7838993},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7259064},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7018602},{"id":"https://openalex.org/C162838799","wikidata":"https://www.wikidata.org/wiki/Q596077","display_name":"Counterexample","level":2,"score":0.64754665},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.6335881},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4877096},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.48409402},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.21392176},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m1360505","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/20M1360505","source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true}],"best_oa_location":{"is_oa":true,"landing_page_url":"https://doi.org/10.1137/20m1360505","pdf_url":"https://epubs.siam.org/doi/pdf/10.1137/20M1360505","source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true},"sustainable_development_goals":[],"grants":[],"datasets":[],"versions":[],"referenced_works_count":3,"referenced_works":["https://openalex.org/W2022684130","https://openalex.org/W2785767266","https://openalex.org/W3005067569"],"related_works":["https://openalex.org/W4304755296","https://openalex.org/W4295571831","https://openalex.org/W2964134489","https://openalex.org/W2950157558","https://openalex.org/W2526197252","https://openalex.org/W2176262501","https://openalex.org/W2163453622","https://openalex.org/W2085708731","https://openalex.org/W2077676730","https://openalex.org/W1515688014"],"abstract_inverted_index":{"We":[0,27],"are":[1],"indebted":[2],"to":[3,29],"Spink":[4,7,60],"and":[5,8,52,61,89],"Tiba":[6,9,62],"[3]":[10],"for":[11,33,87],"pointing":[12],"out":[13],"that":[14,47,96],"the":[15,35,39,105],"key":[16],"technical":[17],"lemma":[18,49],"(Lemma":[19],"4)":[20],"is":[21,55,101],"incorrect":[22],"in":[23,82,99,104],"our":[24,48],"paper":[25],"[2].":[26],"tried":[28],"make":[30],"a":[31,71],"revision":[32],"fixing":[34],"gap.":[36],"However,":[37],"with":[38,67,77],"help":[40],"of":[41],"mathematical":[42],"software":[43],"Lingo,":[44],"we":[45],"found":[46],"has":[50,70],"counterexamples":[51],"its":[53],"conclusion":[54],"incorrect.":[56],"The":[57,92],"Bollob\u00e1s--Scott":[58],"conjecture":[59],"[3],":[63],"\u201cEvery":[64],"$r$-uniform":[65],"hypergraph":[66],"$m$":[68],"edges":[69,81],"vertex":[72],"partition":[73],"into":[74],"$k$":[75],"sets":[76],"at":[78],"most":[79],"$m/k^r+o(m)$":[80],"each":[83],"set,\u201d":[84],"remains":[85],"open":[86],"$r\\ge4$":[88],"seems":[90],"difficult.":[91],"following":[93],"result":[94],"shows":[95],"Lemma":[97],"4":[98],"[2]":[100],"wrong":[102],"even":[103],"case":[106],"$k=2$.":[107]},"cited_by_api_url":"https://api.openalex.org/works?filter=cites:W3118198178","counts_by_year":[],"updated_date":"2024-12-27T23:09:49.800563","created_date":"2021-01-05"}