{"id":"https://openalex.org/W2963283234","doi":"https://doi.org/10.1017/s0963548316000444","title":"Stability and Tur\u00e1n Numbers of a Class of Hypergraphs via Lagrangians","display_name":"Stability and Tur\u00e1n Numbers of a Class of Hypergraphs via Lagrangians","publication_year":2017,"publication_date":"2017-03-29","ids":{"openalex":"https://openalex.org/W2963283234","doi":"https://doi.org/10.1017/s0963548316000444","mag":"2963283234"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548316000444","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548316000444","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5009567725","display_name":"Axel Brandt","orcid":null},"institutions":[{"id":"https://openalex.org/I141720752","display_name":"Davidson College","ror":"https://ror.org/02f7k4z58","country_code":"US","type":"education","lineage":["https://openalex.org/I141720752"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"AXEL BRANDT","raw_affiliation_strings":["Department of Mathematics and Computer Science, Davidson College, Davidson, NC 28035, USA (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Computer Science, Davidson College, Davidson, NC 28035, USA (e-mail:","institution_ids":["https://openalex.org/I141720752"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035528433","display_name":"David Irwin","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":"DAVID IRWIN","raw_affiliation_strings":["Department of Mathematics, Ohio State University, Columbus, OH 43210, USA (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Ohio State University, Columbus, OH 43210, USA (e-mail:","institution_ids":["https://openalex.org/I52357470"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101911266","display_name":"Tao Jiang","orcid":"https://orcid.org/0000-0003-3833-4498"},"institutions":[{"id":"https://openalex.org/I83328450","display_name":"Miami University","ror":"https://ror.org/05nbqxr67","country_code":"US","type":"education","lineage":["https://openalex.org/I83328450"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"TAO JIANG","raw_affiliation_strings":["Department of Mathematics, Miami University, Oxford, OH 45056, USA (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Miami University, Oxford, OH 45056, USA (e-mail:","institution_ids":["https://openalex.org/I83328450"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5009567725"],"corresponding_institution_ids":["https://openalex.org/I141720752"],"apc_list":null,"apc_paid":null,"fwci":6.631,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.97822446,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":"26","issue":"3","first_page":"367","last_page":"405"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11329","display_name":"Limits and Structures in Graph Theory","score":0.9997000098228455,"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":0.9997000098228455,"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/T11476","display_name":"Graph theory and applications","score":0.9948999881744385,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"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":0.9794999957084656,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.9199706315994263},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.7158629894256592},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6138608455657959},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.5669759511947632},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5034417510032654},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.34271374344825745}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.9199706315994263},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.7158629894256592},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6138608455657959},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.5669759511947632},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5034417510032654},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.34271374344825745}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548316000444","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548316000444","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":19,"referenced_works":["https://openalex.org/W7943539","https://openalex.org/W1989410413","https://openalex.org/W1998787536","https://openalex.org/W2027470314","https://openalex.org/W2041862771","https://openalex.org/W2049090616","https://openalex.org/W2089148861","https://openalex.org/W2109179031","https://openalex.org/W2110354774","https://openalex.org/W2110639574","https://openalex.org/W2119209757","https://openalex.org/W2126528093","https://openalex.org/W2148318379","https://openalex.org/W2395767617","https://openalex.org/W2498848698","https://openalex.org/W2524076919","https://openalex.org/W2963239748","https://openalex.org/W2993775463","https://openalex.org/W6878643238"],"related_works":["https://openalex.org/W4376608589","https://openalex.org/W3138003926","https://openalex.org/W4300037846","https://openalex.org/W1630514295","https://openalex.org/W1537073411","https://openalex.org/W2963081352","https://openalex.org/W3094179932","https://openalex.org/W3005801850","https://openalex.org/W2950595062","https://openalex.org/W1553466895"],"abstract_inverted_index":{"Given":[0,69],"a":[1,56,75,151,204,273],"family":[2,207],"of":[3,22,29,44,62,92,111,138,155,208,260,275],"r":[4,10,33,71,103,156,228,236,250],"-uniform":[5],"hypergraphs":[6,276],"${\\cal":[7,20,23,45],"F}$":[8,24,46],"(or":[9],"-graphs":[11],"for":[12,214,277],"brevity),":[13],"the":[14,26,90,102,109,162,176,195,243,279],"Tur\u00e1n":[15,280],"number":[16,28,91,281],"ex(":[17,220],"n":[18,36,80,85,120,218,253,287],",":[19,96,142,149,167,174,210,219],"F})$":[21],"is":[25,53,242,282],"maximum":[27],"edges":[30],"in":[31,55,94,147],"an":[32,70,199],"-graph":[34,72,104,251],"on":[35,252],"vertices":[37,93,110,126,139,160],"that":[38,213],"does":[39],"not":[40,145],"contain":[41],"any":[42],"member":[43],".":[47,117,130,134,202],"A":[48],"pair":[49,137],"{":[50,65,164,186],"u,v":[51],"}":[52,170],"covered":[54,146],"hypergraph":[57],"G":[58,63],"if":[59],"some":[60],"edge":[61,163],"contains":[64],"u,":[66],"v":[67,114,119,127,132,140,143,165,168],"}.":[68,189],"F":[73,82,87,95,99,112,122,148,193,201,209,222],"and":[74,161,271],"positive":[76],"integer":[77],"p":[78,100,133,194,223,231,239,247],"\u2a7e":[79],"(":[81,86,121,229,237,246],"),":[83],"where":[84,175,234],")":[88,224],"denotes":[89],"let":[97],"H":[98,192],"denote":[101],"obtained":[105],"as":[106,113],"follows.":[107],"Label":[108],"1":[115],",.":[116,129],".,":[118,131],").":[123,288],"Add":[124],"new":[125,159],"n(F)+1":[128],"For":[135,203],"each":[136],"i":[141,166],"j":[144,169,188],"add":[150],"set":[152],"B":[153,172,177],"i,j":[154,173,178],"\u2212":[157,232,240,248],"2":[158],"\u222a":[171],"are":[179],"pairwise":[180],"disjoint":[181],"over":[182],"all":[183,215],"such":[184],"pairs":[185],"i,":[187],"We":[190,255],"call":[191],"expanded":[196],"p-clique":[197],"with":[198],"embedded":[200],"relatively":[205],"large":[206,217,286],"we":[211],"show":[212],"sufficiently":[216],"n,H":[221],"=":[225],"|":[226],"T":[227,235],"n,":[230,238],"1)|,":[233],"1)":[241],"balanced":[244],"complete":[245],"1)-partite":[249],"vertices.":[254],"also":[256],"establish":[257],"structural":[258],"stability":[259],"near-extremal":[261],"graphs.":[262],"Our":[263],"results":[264,270],"generalize":[265],"or":[266],"strengthen":[267],"several":[268],"earlier":[269],"provide":[272],"class":[274],"which":[278],"exactly":[283],"determined":[284],"(for":[285]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":5},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":6},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":1}],"updated_date":"2026-05-21T09:19:25.381259","created_date":"2025-10-10T00:00:00"}
