{"id":"https://openalex.org/W3007733457","doi":"https://doi.org/10.1137/22m1543318","title":"Extremal Problems for Hypergraph Blowups of Trees","display_name":"Extremal Problems for Hypergraph Blowups of Trees","publication_year":2023,"publication_date":"2023-10-18","ids":{"openalex":"https://openalex.org/W3007733457","doi":"https://doi.org/10.1137/22m1543318","mag":"3007733457"},"language":"en","primary_location":{"id":"doi:10.1137/22m1543318","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1543318","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":["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/A5023439517","display_name":"Zolt\u00e1n F\u00fcredi","orcid":"https://orcid.org/0000-0001-7335-991X"},"institutions":[{"id":"https://openalex.org/I127817813","display_name":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics","ror":"https://ror.org/03vw74f64","country_code":"HU","type":"facility","lineage":["https://openalex.org/I127817813","https://openalex.org/I7597260"]}],"countries":["HU"],"is_corresponding":false,"raw_author_name":"Zolt\u00e1n F\u00fcredi","raw_affiliation_strings":["Alfr\u00e9d R\u00e9nyi Institute of Mathematics, 1053 Budapest, Hungary"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Alfr\u00e9d R\u00e9nyi Institute of Mathematics, 1053 Budapest, Hungary","institution_ids":["https://openalex.org/I127817813"]}]},{"author_position":"middle","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"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Miami University, Oxford, OH 45056 USA","institution_ids":["https://openalex.org/I83328450"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5080894223","display_name":"Alexandr Kostochka","orcid":"https://orcid.org/0000-0002-6363-3804"},"institutions":[{"id":"https://openalex.org/I157725225","display_name":"University of Illinois Urbana-Champaign","ror":"https://ror.org/047426m28","country_code":"US","type":"education","lineage":["https://openalex.org/I157725225"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alexandr Kostochka","raw_affiliation_strings":["University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA, and Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA, and Sobolev Institute of Mathematics, Novosibirsk, 630090, Russia","institution_ids":["https://openalex.org/I157725225"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5079803922","display_name":"Dhruv Mubayi","orcid":"https://orcid.org/0000-0002-4709-8768"},"institutions":[{"id":"https://openalex.org/I39422238","display_name":"University of Illinois Chicago","ror":"https://ror.org/02mpq6x41","country_code":"US","type":"education","lineage":["https://openalex.org/I39422238"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Dhruv Mubayi","raw_affiliation_strings":["Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL 60607 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Statistics, and Computer Science, University of Illinois at Chicago, Chicago, IL 60607 USA","institution_ids":["https://openalex.org/I39422238"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5024446850","display_name":"Jacques Verstra\u00ebte","orcid":null},"institutions":[{"id":"https://openalex.org/I36258959","display_name":"University of California San Diego","ror":"https://ror.org/0168r3w48","country_code":"US","type":"education","lineage":["https://openalex.org/I36258959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jacques Verstra\u00ebte","raw_affiliation_strings":["Department of Mathematics, University of California at San Diego, La Jolla, CA 92093-0112 USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, University of California at San Diego, La Jolla, CA 92093-0112 USA","institution_ids":["https://openalex.org/I36258959"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00764749,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"37","issue":"4","first_page":"2397","last_page":"2416"},"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/T11476","display_name":"Graph theory and applications","score":0.9804999828338623,"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":0.9803000092506409,"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/mathematics","display_name":"Mathematics","score":0.8730171918869019},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.8160640597343445},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.748497724533081},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.5963640213012695},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5251859426498413},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5127135515213013},{"id":"https://openalex.org/keywords/intersection","display_name":"Intersection (aeronautics)","score":0.5077131986618042},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.4722810685634613},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.0614776611328125}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8730171918869019},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.8160640597343445},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.748497724533081},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.5963640213012695},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5251859426498413},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5127135515213013},{"id":"https://openalex.org/C64543145","wikidata":"https://www.wikidata.org/wiki/Q162942","display_name":"Intersection (aeronautics)","level":2,"score":0.5077131986618042},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.4722810685634613},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0614776611328125},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.0},{"id":"https://openalex.org/C146978453","wikidata":"https://www.wikidata.org/wiki/Q3798668","display_name":"Aerospace engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/22m1543318","is_oa":false,"landing_page_url":"http://dx.doi.org/10.1137/22m1543318","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:191893","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1086380112","display_name":null,"funder_award_id":"DMS-1800332","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"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/G1664083329","display_name":"Extremal Problems on Graphs Related to Colorings and Cycle Structure","funder_award_id":"1600592","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1768218816","display_name":"Extremal Problems on Graphs and Hypergraphs","funder_award_id":"1855542","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"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/G201034632","display_name":null,"funder_award_id":"DMS 1855542","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3192587058","display_name":null,"funder_award_id":"DMS-2153507","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3252936920","display_name":"Extremal and Probabilistic Questions on Hypergraphs","funder_award_id":"1300138","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3255774899","display_name":null,"funder_award_id":"133819","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G4706712691","display_name":"RUI: Highly Luminescent Multinuclear Coinage Metal Arrays with a Twist: A New Approach to Design Light-Emitting Molecular Wires and Coils","funder_award_id":"1800332","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science 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/G4885109303","display_name":"FRG: Collaborative Research:  Pseudorandomness in Ramsey Theory","funder_award_id":"1952767","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5694717120","display_name":"Extremal Questions for Hypergraphs","funder_award_id":"1763317","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5991973239","display_name":"Existence of Specific Paths, Cycles, and Colorings in Graphs and Hypergraphs","funder_award_id":"2153507","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7499709116","display_name":null,"funder_award_id":"130371","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"},{"id":"https://openalex.org/G7518142165","display_name":"Hypergraphs and Ramsey Theory","funder_award_id":"2153576","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G8550484722","display_name":null,"funder_award_id":"132696","funder_id":"https://openalex.org/F4320326762","funder_display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal"}],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320326762","display_name":"Nemzeti Kutat\u00e1si Fejleszt\u00e9si \u00e9s Innov\u00e1ci\u00f3s Hivatal","ror":null},{"id":"https://openalex.org/F4320336675","display_name":"National Research, Development and Innovation Office","ror":null}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1571018443","https://openalex.org/W1648902078","https://openalex.org/W1907295818","https://openalex.org/W1990486130","https://openalex.org/W1993802470","https://openalex.org/W1996106086","https://openalex.org/W1999667176","https://openalex.org/W2001029390","https://openalex.org/W2019935404","https://openalex.org/W2045914539","https://openalex.org/W2048996648","https://openalex.org/W2059283278","https://openalex.org/W2069654053","https://openalex.org/W2090746613","https://openalex.org/W2091239462","https://openalex.org/W2100896331","https://openalex.org/W2103078247","https://openalex.org/W2111368375","https://openalex.org/W2141190811","https://openalex.org/W2154774722","https://openalex.org/W2171277697","https://openalex.org/W2275896343","https://openalex.org/W3006967677","https://openalex.org/W4378363307"],"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/W2472555608","https://openalex.org/W4376608938","https://openalex.org/W4288275998","https://openalex.org/W2777980911"],"abstract_inverted_index":{"We":[0,126],"study":[1],"the":[2,16,56,84,92,114,129,132,136,143],"extremal":[3,57,133],"number":[4,58,67,75,134],"for":[5,88,135],"paths":[6],"in":[7,20],"r-uniform":[8],"hypergraphs":[9,48],"where":[10,111],"two":[11,118],"consec-":[12],"utive":[13],"edges":[14,38,69,77],"of":[15,22,37,52,59,68,76,94,121,131,139],"path":[17],"intersect":[18],"alternately":[19],"sets":[21],"sizes":[23],"b":[24,30,97],"and":[25,33,78],"a":[26,28,79,95,104],"with":[27],"+":[29],"=":[31,96,98],"r":[32],"all":[34],"other":[35],"pairs":[36],"have":[39,64,72],"empty":[40],"intersection.":[41],"Our":[42,100],"main":[43],"result,":[44],"which":[45,90,122],"is":[46,91,123],"about":[47],"that":[49,63,71],"are":[50],"blowups":[51],"trees,":[53],"determines":[54],"asymptotically":[55],"these":[60],"(a,":[61],"b)-paths":[62],"an":[65,73],"odd":[66],"or":[70],"even":[74],"&gt;":[80],"b.":[81],"This":[82],"generalizes":[83],"Erd\\\\H":[85],"os--Gallai":[86],"theorem":[87],"graphs,":[89],"case":[93],"1.":[99],"proof":[101],"method":[102],"involves":[103],"novel":[105],"twist":[106],"on":[107],"Katona's":[108],"permutation":[109],"method,":[110],"we":[112],"partition":[113],"underlying":[115],"hypergraph":[116],"into":[117],"parts,":[119],"one":[120],"very":[124],"small.":[125],"also":[127],"find":[128],"asymptotics":[130],"(1,":[137],"2)-path":[138],"length":[140],"4":[141],"using":[142],"different":[144],"\\\\Delta":[145],"-systems":[146],"method.":[147]},"counts_by_year":[],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}
