{"id":"https://openalex.org/W2772485695","doi":"https://doi.org/10.1137/17m1160926","title":"Hypergraphs Not Containing a Tight Tree with a Bounded Trunk","display_name":"Hypergraphs Not Containing a Tight Tree with a Bounded Trunk","publication_year":2019,"publication_date":"2019-01-01","ids":{"openalex":"https://openalex.org/W2772485695","doi":"https://doi.org/10.1137/17m1160926","mag":"2772485695"},"language":"en","primary_location":{"id":"doi:10.1137/17m1160926","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1160926","pdf_url":null,"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,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1712.04081","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5023439517","display_name":"Zolt\u00e1n F\u00fcredi","orcid":"https://orcid.org/0000-0001-7335-991X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Zolt\u00e1n F\u00fcredi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101911266","display_name":"Tao Jiang","orcid":"https://orcid.org/0000-0003-3833-4498"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Tao Jiang","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080894223","display_name":"Alexandr Kostochka","orcid":"https://orcid.org/0000-0002-6363-3804"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alexandr Kostochka","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079803922","display_name":"Dhruv Mubayi","orcid":"https://orcid.org/0000-0002-4709-8768"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Dhruv Mubayi","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5024446850","display_name":"Jacques Verstra\u00ebte","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Jacques Verstra\u00ebte","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4643,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.50638298,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"33","issue":"2","first_page":"862","last_page":"873"},"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":0.9998000264167786,"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":0.9998000264167786,"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":0.9850000143051147,"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/T11476","display_name":"Graph theory and applications","score":0.9613999724388123,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8899452090263367},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.720866858959198},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7067955732345581},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6209572553634644},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.6104414463043213},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5849608182907104},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.5706019401550293},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.39094603061676025},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3515332341194153}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8899452090263367},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.720866858959198},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7067955732345581},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6209572553634644},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.6104414463043213},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5849608182907104},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.5706019401550293},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.39094603061676025},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3515332341194153},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1137/17m1160926","is_oa":false,"landing_page_url":"https://doi.org/10.1137/17m1160926","pdf_url":null,"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,"raw_source_name":"SIAM Journal on Discrete Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:real.mtak.hu:98602","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4306400081","display_name":"Repository of the Academy's Library (Library of the Hungarian Academy of Sciences)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210140733","host_organization_name":"Library and Information Centre of the Hungarian Academy of Sciences","host_organization_lineage":["https://openalex.org/I4210140733"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:arXiv.org:1712.04081","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1712.04081","pdf_url":"https://arxiv.org/pdf/1712.04081","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2772485695","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1712.04081.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1712.04081","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1712.04081","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1712.04081","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1712.04081","pdf_url":"https://arxiv.org/pdf/1712.04081","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1641911518","display_name":null,"funder_award_id":"DMS-1556524","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1807476426","display_name":null,"funder_award_id":"16\u201001\u201000499","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"},{"id":"https://openalex.org/G1886770400","display_name":null,"funder_award_id":"DMS\u20101600592","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G28412016","display_name":null,"funder_award_id":"15\u201001\u201005867","funder_id":"https://openalex.org/F4320321079","funder_display_name":"Russian Foundation for Basic Research"},{"id":"https://openalex.org/G3933270012","display_name":null,"funder_award_id":"317487","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G4708938160","display_name":null,"funder_award_id":"DMS\u20101300138","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G636142707","display_name":null,"funder_award_id":"K\u2013116769","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G7039368589","display_name":null,"funder_award_id":"DMS-1400249","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320321079","display_name":"Russian Foundation for Basic Research","ror":"https://ror.org/02mh1ke95"},{"id":"https://openalex.org/F4320326762","display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":15,"referenced_works":["https://openalex.org/W7943539","https://openalex.org/W1571018443","https://openalex.org/W1648902078","https://openalex.org/W1996106086","https://openalex.org/W2023913113","https://openalex.org/W2025324955","https://openalex.org/W2088622619","https://openalex.org/W2095959689","https://openalex.org/W2100896331","https://openalex.org/W2155295958","https://openalex.org/W2181597092","https://openalex.org/W2555546311","https://openalex.org/W2770153112","https://openalex.org/W2795416452","https://openalex.org/W4252348807"],"related_works":["https://openalex.org/W3006967677","https://openalex.org/W2998269053","https://openalex.org/W2626148159","https://openalex.org/W3011897914","https://openalex.org/W1555702583","https://openalex.org/W2883200068","https://openalex.org/W3102138966","https://openalex.org/W3111694217","https://openalex.org/W2109511316","https://openalex.org/W2768594358","https://openalex.org/W2793742056","https://openalex.org/W1556797074","https://openalex.org/W1993421845","https://openalex.org/W3088966738","https://openalex.org/W3214348012","https://openalex.org/W2593811639","https://openalex.org/W2963752244","https://openalex.org/W3044350354","https://openalex.org/W3125259119","https://openalex.org/W3008018122"],"abstract_inverted_index":{"An":[0],"$r$-uniform":[1,81,193],"hypergraph":[2,82,194],"is":[3,69,78,103,143,165],"a":[4,19,70,99,104,122,191,207],"tight":[5,71,100,105,134,174,214,230],"$r$-tree":[6,72,101],"if":[7,67],"its":[8,202],"edges":[9,75],"can":[10],"be":[11],"ordered":[12],"so":[13],"that":[14,22,66,108],"every":[15,109],"edge":[16,29,110,118],"$e$":[17],"contains":[18],"vertex":[20,123],"$v$":[21],"does":[23],"not":[24],"belong":[25],"to":[26],"any":[27],"preceding":[28,37],"and":[30,48,76,121],"the":[31,60,129,144,188,199,229,236],"set":[32],"$e-v$":[33],"lies":[34],"in":[35,46,116,152,196],"some":[36,117],"edge.":[38],"A":[39,95],"conjecture":[40,62,139,171,212],"of":[41,86,98,111,119,133,146,169,177,190,198,201,210,232,240],"Kalai":[42],"personal":[43],"communication":[44],"published":[45],"Frankl":[47],"F\u00fcredi,":[49],"J.":[50,153],"Combin.":[51,154],"Theory":[52,155],"Ser.":[53,156],"A,":[54,157],"45":[55,158],"(1987),":[56,159],"pp.":[57,160,249],"226--262,":[58],"generalizing":[59],"Erd\u00f6s--S\u00f3s":[61],"for":[63,136,172,213,223],"trees,":[64],"asserts":[65],"$T$":[68,102,176],"with":[73,148,216],"$t$":[74],"$G$":[77,89,195],"an":[79,166],"$n$-vertex":[80],"containing":[83],"no":[84],"copy":[85],"$T$,":[87],"then":[88],"has":[90,113,140],"at":[91,217],"most":[92,218],"$\\frac{t-1}{r}\\binom{n}{r-1}$":[93],"edges.":[94,220],"trunk":[96,149,179],"$T'$":[97,120],"subtree":[106],"such":[107],"$T-T'$":[112],"$r-1$":[114],"vertices":[115],"outside":[124],"$T'$.":[125],"For":[126],"$r\\ge":[127],"3$,":[128],"only":[130],"nontrivial":[131],"family":[132,145],"$r$-trees":[135,147,215],"which":[137],"this":[138],"been":[141],"proved":[142],"size":[150,189,200],"one":[151],"226--262.":[161],"Our":[162],"main":[163],"result":[164,227],"asymptotic":[167],"version":[168],"Kalai's":[170,211],"all":[173],"trees":[175],"bounded":[178],"size.":[180],"This":[181],"follows":[182],"from":[183],"our":[184,226],"upper":[185],"bound":[186],"on":[187,228],"$T$-free":[192],"terms":[197],"shadow.":[203],"We":[204],"also":[205],"give":[206],"short":[208],"proof":[209],"four":[219],"In":[221],"particular,":[222],"3-uniform":[224],"hypergraphs,":[225],"path":[231],"length":[233],"$4$":[234],"implies":[235],"intersection":[237],"shadow":[238],"theorem":[239],"Katona":[241],"Acta":[242],"Math.":[243],"Acad.":[244],"Sci.":[245],"Hungar.,":[246],"15":[247],"(1964),":[248],"329--337.":[250]},"counts_by_year":[{"year":2019,"cited_by_count":1}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
