{"id":"https://openalex.org/W2168244850","doi":"https://doi.org/10.1017/s0963548310000222","title":"Hypergraphs Do Jump","display_name":"Hypergraphs Do Jump","publication_year":2010,"publication_date":"2010-07-13","ids":{"openalex":"https://openalex.org/W2168244850","doi":"https://doi.org/10.1017/s0963548310000222","mag":"2168244850"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548310000222","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548310000222","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/A5027980386","display_name":"Rahil Baber","orcid":null},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":true,"raw_author_name":"RAHIL BABER","raw_affiliation_strings":["Department of Mathematics, UCL, London, WC1E 6BT, UK (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, UCL, London, WC1E 6BT, UK (e-mail:","institution_ids":["https://openalex.org/I45129253"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5002343159","display_name":"John Talbot","orcid":"https://orcid.org/0000-0002-4119-9429"},"institutions":[{"id":"https://openalex.org/I45129253","display_name":"University College London","ror":"https://ror.org/02jx3x895","country_code":"GB","type":"education","lineage":["https://openalex.org/I124357947","https://openalex.org/I45129253"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"JOHN TALBOT","raw_affiliation_strings":["Department of Mathematics, UCL, London, WC1E 6BT, UK (e-mail:"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, UCL, London, WC1E 6BT, UK (e-mail:","institution_ids":["https://openalex.org/I45129253"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5027980386"],"corresponding_institution_ids":["https://openalex.org/I45129253"],"apc_list":null,"apc_paid":null,"fwci":14.7251,"has_fulltext":false,"cited_by_count":109,"citation_normalized_percentile":{"value":0.99823944,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":100},"biblio":{"volume":"20","issue":"2","first_page":"161","last_page":"171"},"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":0.9998999834060669,"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":0.9998999834060669,"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":0.9968000054359436,"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/T12541","display_name":"Graph Labeling and Dimension Problems","score":0.9883000254631042,"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/jump","display_name":"Jump","score":0.8161585330963135},{"id":"https://openalex.org/keywords/conjecture","display_name":"Conjecture","score":0.7753120064735413},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7635093927383423},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7470675706863403},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.5911201238632202},{"id":"https://openalex.org/keywords/jumping","display_name":"Jumping","score":0.5821224451065063},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5072369575500488},{"id":"https://openalex.org/keywords/integer","display_name":"Integer (computer science)","score":0.49111101031303406},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14660429954528809}],"concepts":[{"id":"https://openalex.org/C2780695682","wikidata":"https://www.wikidata.org/wiki/Q4005959","display_name":"Jump","level":2,"score":0.8161585330963135},{"id":"https://openalex.org/C2780990831","wikidata":"https://www.wikidata.org/wiki/Q319141","display_name":"Conjecture","level":2,"score":0.7753120064735413},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7635093927383423},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7470675706863403},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.5911201238632202},{"id":"https://openalex.org/C2779897013","wikidata":"https://www.wikidata.org/wiki/Q1151752","display_name":"Jumping","level":2,"score":0.5821224451065063},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5072369575500488},{"id":"https://openalex.org/C97137487","wikidata":"https://www.wikidata.org/wiki/Q729138","display_name":"Integer (computer science)","level":2,"score":0.49111101031303406},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14660429954528809},{"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/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C42407357","wikidata":"https://www.wikidata.org/wiki/Q521","display_name":"Physiology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548310000222","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548310000222","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":8,"referenced_works":["https://openalex.org/W1978688508","https://openalex.org/W1999613943","https://openalex.org/W2030153168","https://openalex.org/W2034871182","https://openalex.org/W2096590808","https://openalex.org/W2111007781","https://openalex.org/W4248232393","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W3124676748","https://openalex.org/W2562824280","https://openalex.org/W2334192603","https://openalex.org/W2382466266","https://openalex.org/W2385281849","https://openalex.org/W1591560775","https://openalex.org/W2080674242","https://openalex.org/W4229024545","https://openalex.org/W2118935785","https://openalex.org/W2512066353"],"abstract_inverted_index":{"We":[0,151,212],"say":[1],"that":[2,24,75,91,117,160,199,242],"\u03b1":[3,52,65,81,98,124,205,248],"\u2208":[4,82,99,125,206,249],"[0,":[5,83,100,126],"1)":[6,84,127],"is":[7,85,106,128,209,252],"a":[8,56,86,107,129,140,210,253],"jump":[9],"for":[10,25,76,92,118,146,163,179,200,219,243],"an":[11,215],"integer":[12],"r":[13,36,77,94,101,103,104,120,148,164,181,188,190,191,201,244],"\u2265":[14,33,40,95,121,149,182],"2":[15],"if":[16],"there":[17],"exists":[18],"c":[19,67],"(\u03b1)":[20],">":[21,28],"0":[22,29,42],"such":[23],"all":[26,31,93,119,147],"\u03f5":[27,54],"and":[30,48,132],"t":[32,45,59],"1,":[34],"any":[35,180],"-graph":[37],"with":[38],"n":[39,41],"(\u03b1,":[43],"\u03f5,":[44],")":[46,105,235],"vertices":[47,60],"density":[49,62,222],"at":[50,63],"least":[51,64],"+":[53,66],"contains":[55],"subgraph":[57],"on":[58],"of":[61,142,144,177,223],".":[68],"The":[69],"Erd\u0151s\u2013Stone\u2013Simonovits":[70],"theorem":[71],"[4,":[72],"5]":[73],"implies":[74,241],"=":[78,165,202,227,245],"2,":[79],"every":[80,97,123,204,247],"jump.":[87,108,130,211,254],"Erd\u0151s":[88],"[3]":[89],"showed":[90],"3,":[96,122],"!/":[102,189],"Moreover":[109],"he":[110],"made":[111],"his":[112],"famous":[113],"\u2018jumping":[114],"constant":[115],"conjecture\u2019,":[116],"Frankl":[131],"R\u00f6dl":[133],"[7]":[134],"disproved":[135],"this":[136],"conjecture":[137],"by":[138],"giving":[139],"sequence":[141],"values":[143],"non-jumps":[145],"3.":[150],"use":[152],"Razborov's":[153],"flag":[154],"algebra":[155],"method":[156],"[9]":[157],"to":[158],"show":[159,198],"jumps":[161,178],"exist":[162],"3":[166,183,203,246],"in":[167,184,239],"the":[168,174,185,220],"interval":[169,186],"[2/9,":[170],"1).":[171,193],"These":[172],"are":[173],"first":[175],"examples":[176],"[":[187],",":[192],"To":[194],"be":[195],"precise,":[196],"we":[197],"[0.2299,":[207],"0.2316)":[208],"also":[213],"give":[214],"improved":[216],"upper":[217],"bound":[218],"Tur\u00e1n":[221],"K":[224,232],"4":[225,233],"\u2212":[226,234],"{123,":[228],"124,":[229],"134}:":[230],"\u03c0(":[231],"\u2264":[236],"0.2871.":[237],"This":[238],"turn":[240],"[0.2871,":[250],"8/27)":[251]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":7},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":6},{"year":2016,"cited_by_count":7},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":12},{"year":2013,"cited_by_count":11},{"year":2012,"cited_by_count":14}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}