{"id":"https://openalex.org/W3090980633","doi":"https://doi.org/10.7151/dmgt.2362","title":"On the sizes of <i>(k,l)</i> -edge-maximal <i>r</i> -uniform hypergraphs","display_name":"On the sizes of <i>(k,l)</i> -edge-maximal <i>r</i> -uniform hypergraphs","publication_year":2020,"publication_date":"2020-01-01","ids":{"openalex":"https://openalex.org/W3090980633","doi":"https://doi.org/10.7151/dmgt.2362","mag":"3090980633"},"language":"en","primary_location":{"id":"doi:10.7151/dmgt.2362","is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.2362","pdf_url":"https://www.dmgt.uz.zgora.pl/publish/bbl_view_pdf.php?ID=39126","source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discussiones Mathematicae Graph Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"diamond","oa_url":"https://www.dmgt.uz.zgora.pl/publish/bbl_view_pdf.php?ID=39126","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5085199355","display_name":"Yingzhi Tian","orcid":"https://orcid.org/0000-0002-1595-9834"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yingzhi Tian","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, PRChina"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, PRChina","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5112234287","display_name":"Lai Hong-Jian","orcid":null},"institutions":[{"id":"https://openalex.org/I12097938","display_name":"West Virginia University","ror":"https://ror.org/011vxgd24","country_code":"US","type":"education","lineage":["https://openalex.org/I12097938"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Hong-Jian Lai","raw_affiliation_strings":["Department of Mathematics, West Virginia University, Morgantown, WV 26506, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, West Virginia University, Morgantown, WV 26506, USA","institution_ids":["https://openalex.org/I12097938"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049408702","display_name":"Jixiang Meng","orcid":"https://orcid.org/0000-0001-6853-8163"},"institutions":[{"id":"https://openalex.org/I96908189","display_name":"Xinjiang University","ror":"https://ror.org/059gw8r13","country_code":"CN","type":"education","lineage":["https://openalex.org/I96908189"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jixiang Meng","raw_affiliation_strings":["College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, PRChina"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and System Sciences, Xinjiang University, Urumqi, Xinjiang 830046, PRChina","institution_ids":["https://openalex.org/I96908189"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5015166186","display_name":"Murong Xu","orcid":null},"institutions":[{"id":"https://openalex.org/I52357470","display_name":"The Ohio State University","ror":"https://ror.org/00rs6vg23","country_code":"US","type":"education","lineage":["https://openalex.org/I52357470"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Murong Xu","raw_affiliation_strings":["Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, The Ohio State University, Columbus, OH 43210, USA","institution_ids":["https://openalex.org/I52357470"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5085199355"],"corresponding_institution_ids":["https://openalex.org/I96908189"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.15223712,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":95,"max":96},"biblio":{"volume":"43","issue":"1","first_page":"179","last_page":"179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9467999935150146,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9467999935150146,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T10901","display_name":"Advanced Data Compression Techniques","score":0.9258999824523926,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5912976264953613},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5037187933921814},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.4676836133003235},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.36492475867271423},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24588894844055176},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06660306453704834}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5912976264953613},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5037187933921814},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.4676836133003235},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.36492475867271423},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24588894844055176},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06660306453704834}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.7151/dmgt.2362","is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.2362","pdf_url":"https://www.dmgt.uz.zgora.pl/publish/bbl_view_pdf.php?ID=39126","source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discussiones Mathematicae Graph Theory","raw_type":"journal-article"},{"id":"pmh:oai:doaj.org/article:98dd9c9e16464ca086045aa71f57d711","is_oa":true,"landing_page_url":"https://doaj.org/article/98dd9c9e16464ca086045aa71f57d711","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discussiones Mathematicae Graph Theory, Vol 43, Iss 1, Pp 179-194 (2023)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.7151/dmgt.2362","is_oa":true,"landing_page_url":"https://doi.org/10.7151/dmgt.2362","pdf_url":"https://www.dmgt.uz.zgora.pl/publish/bbl_view_pdf.php?ID=39126","source":{"id":"https://openalex.org/S2738357781","display_name":"Discussiones Mathematicae Graph Theory","issn_l":"1234-3099","issn":["1234-3099","2083-5892"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310320322","host_organization_name":"De Gruyter Open","host_organization_lineage":["https://openalex.org/P4310320322","https://openalex.org/P4310313990"],"host_organization_lineage_names":["De Gruyter Open","De Gruyter"],"type":"journal"},"license":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discussiones Mathematicae Graph Theory","raw_type":"journal-article"},"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https://metadata.un.org/sdg/10","score":0.47999998927116394}],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3090980633.pdf","grobid_xml":"https://content.openalex.org/works/W3090980633.grobid-xml"},"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2935759653","https://openalex.org/W3105167352","https://openalex.org/W54078636","https://openalex.org/W2954470139","https://openalex.org/W1501425562","https://openalex.org/W2902782467","https://openalex.org/W3084825885","https://openalex.org/W2298861036","https://openalex.org/W3148032049"],"abstract_inverted_index":{"Let":[0],"H":[1,31,38,52,69,81,101],"=":[2,63,70],"(V,":[3,71],"E)":[4,72],"be":[5],"a":[6,11,18,54],"hypergraph,":[7,57],"where":[8,61],"V":[9,24],"is":[10,17,39,53,73],"set":[12,19],"of":[13,20,23,30,46,49,80,133,136],"vertices":[14],"and":[15,115,129],"E":[16,44],"non-empty":[21],"subsets":[22],"called":[25],"edges.":[26],"If":[27],"all":[28,47],"edges":[29],"have":[32],"the":[33,126,130,134],"same":[34],"cardinality":[35],"r,":[36],"then":[37,51],"an":[40],"r-uniform":[41,56,67],"hypergraph;":[42],"if":[43,76],"consists":[45],"r-subsets":[48],"V,":[50],"complete":[55],"denoted":[58],"by":[59],"Krn,":[60],"n":[62],"|V":[64,83,111],"|.":[65],"An":[66],"hypergraph":[68],"(k,":[74,137],"l)-edge-maximal":[75,138],"every":[77],"subhypergraph":[78,108],"H\u2032":[79],"with":[82,110],"(H\u2032)|":[84],"\u2265":[85,113],"l":[86,114],"has":[87],"edge-connectivity":[88,116],"at":[89,105,117],"most":[90],"k,":[91],"but":[92],"for":[93],"any":[94],"edge":[95],"e":[96,103],"\u2208":[97],"E(Knr)":[98],"\\":[99],"E(H),":[100],"+":[102],"contains":[104],"least":[106,118],"one":[107],"H\u2032\u2032":[109],"(H\u2032\u2032)|":[112],"k":[119],"+1.":[120],"In":[121],"this":[122],"paper,":[123],"we":[124,141],"obtain":[125],"lower":[127],"bounds":[128,132,145],"upper":[131],"sizes":[135],"hypergraphs.":[139],"Furthermore,":[140],"show":[142],"that":[143],"these":[144],"are":[146],"best":[147],"possible.":[148]},"counts_by_year":[{"year":2025,"cited_by_count":2}],"updated_date":"2026-02-26T06:29:33.603293","created_date":"2020-10-08T00:00:00"}