{"id":"https://openalex.org/W3173052347","doi":"https://doi.org/10.1017/s0963548322000190","title":"Degree sequences of sufficiently dense random uniform hypergraphs","display_name":"Degree sequences of sufficiently dense random uniform hypergraphs","publication_year":2022,"publication_date":"2022-08-15","ids":{"openalex":"https://openalex.org/W3173052347","doi":"https://doi.org/10.1017/s0963548322000190","mag":"3173052347"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548322000190","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548322000190","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/67BBA22E7C0A384E92CD13443AD2CBAE/S0963548322000190a.pdf/div-class-title-degree-sequences-of-sufficiently-dense-random-uniform-hypergraphs-div.pdf","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":true,"oa_status":"bronze","oa_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/67BBA22E7C0A384E92CD13443AD2CBAE/S0963548322000190a.pdf/div-class-title-degree-sequences-of-sufficiently-dense-random-uniform-hypergraphs-div.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5031194096","display_name":"Catherine Greenhill","orcid":"https://orcid.org/0000-0001-6998-2282"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Catherine Greenhill","raw_affiliation_strings":["School of Mathematics and Statistics, UNSW Sydney, NSW 2052, Australia","University of New South Wales,#TAB#"],"raw_orcid":"https://orcid.org/0000-0001-6998-2282","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, UNSW Sydney, NSW 2052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"University of New South Wales,#TAB#","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5035608597","display_name":"Mikhail Isaev","orcid":"https://orcid.org/0000-0002-5703-0951"},"institutions":[{"id":"https://openalex.org/I56590836","display_name":"Monash University","ror":"https://ror.org/02bfwt286","country_code":"AU","type":"education","lineage":["https://openalex.org/I56590836"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Mikhail Isaev","raw_affiliation_strings":["School of Mathematics, Monash University, VIC 3800, Australia","Monash#N#        University"],"raw_orcid":"https://orcid.org/0000-0002-5703-0951","affiliations":[{"raw_affiliation_string":"School of Mathematics, Monash University, VIC 3800, Australia","institution_ids":["https://openalex.org/I56590836"]},{"raw_affiliation_string":"Monash#N#        University","institution_ids":["https://openalex.org/I56590836"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075231269","display_name":"Tam\u00e1s Makai","orcid":"https://orcid.org/0000-0002-3792-3701"},"institutions":[{"id":"https://openalex.org/I31746571","display_name":"UNSW Sydney","ror":"https://ror.org/03r8z3t63","country_code":"AU","type":"education","lineage":["https://openalex.org/I31746571"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Tam\u00e1s Makai","raw_affiliation_strings":["School of Mathematics and Statistics, UNSW Sydney, NSW 2052, Australia","University of New South Wales,#TAB#"],"raw_orcid":"https://orcid.org/0000-0002-3792-3701","affiliations":[{"raw_affiliation_string":"School of Mathematics and Statistics, UNSW Sydney, NSW 2052, Australia","institution_ids":["https://openalex.org/I31746571"]},{"raw_affiliation_string":"University of New South Wales,#TAB#","institution_ids":["https://openalex.org/I31746571"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014961672","display_name":"Brendan D. McKay","orcid":"https://orcid.org/0000-0002-3553-0496"},"institutions":[{"id":"https://openalex.org/I118347636","display_name":"Australian National University","ror":"https://ror.org/019wvm592","country_code":"AU","type":"education","lineage":["https://openalex.org/I118347636"]}],"countries":["AU"],"is_corresponding":true,"raw_author_name":"Brendan D. McKay","raw_affiliation_strings":["School of Computing, Australian National University, Canberra, ACT 2601, Australia","AUSTRALIAN NATIONAL UNIVERSITY"],"raw_orcid":"https://orcid.org/0000-0002-3553-0496","affiliations":[{"raw_affiliation_string":"School of Computing, Australian National University, Canberra, ACT 2601, Australia","institution_ids":["https://openalex.org/I118347636"]},{"raw_affiliation_string":"AUSTRALIAN NATIONAL UNIVERSITY","institution_ids":["https://openalex.org/I118347636"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5014961672"],"corresponding_institution_ids":["https://openalex.org/I118347636"],"apc_list":null,"apc_paid":null,"fwci":1.1325,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69112628,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"32","issue":"2","first_page":"183","last_page":"224"},"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":0.9991000294685364,"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":0.9991000294685364,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9975000023841858,"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9955000281333923,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"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/degree","display_name":"Degree (music)","score":0.869030237197876},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8064149618148804},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.8032678961753845},{"id":"https://openalex.org/keywords/hypergraph","display_name":"Hypergraph","score":0.7970730066299438},{"id":"https://openalex.org/keywords/hypergeometric-distribution","display_name":"Hypergeometric distribution","score":0.7013807892799377},{"id":"https://openalex.org/keywords/binomial","display_name":"Binomial (polynomial)","score":0.6698660850524902},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.605785608291626},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.5432463884353638},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.48144835233688354},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4563307464122772},{"id":"https://openalex.org/keywords/random-sequence","display_name":"Random sequence","score":0.41167551279067993},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1599625051021576},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.15475261211395264},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.13111022114753723},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.11610782146453857}],"concepts":[{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.869030237197876},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8064149618148804},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.8032678961753845},{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.7970730066299438},{"id":"https://openalex.org/C176671685","wikidata":"https://www.wikidata.org/wiki/Q730600","display_name":"Hypergeometric distribution","level":2,"score":0.7013807892799377},{"id":"https://openalex.org/C2781315470","wikidata":"https://www.wikidata.org/wiki/Q193623","display_name":"Binomial (polynomial)","level":2,"score":0.6698660850524902},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.605785608291626},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.5432463884353638},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.48144835233688354},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4563307464122772},{"id":"https://openalex.org/C186515451","wikidata":"https://www.wikidata.org/wiki/Q228191","display_name":"Random sequence","level":3,"score":0.41167551279067993},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1599625051021576},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.15475261211395264},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.13111022114753723},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.11610782146453857},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1017/s0963548322000190","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548322000190","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/67BBA22E7C0A384E92CD13443AD2CBAE/S0963548322000190a.pdf/div-class-title-degree-sequences-of-sufficiently-dense-random-uniform-hypergraphs-div.pdf","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":{"id":"doi:10.1017/s0963548322000190","is_oa":true,"landing_page_url":"https://doi.org/10.1017/s0963548322000190","pdf_url":"https://www.cambridge.org/core/services/aop-cambridge-core/content/view/67BBA22E7C0A384E92CD13443AD2CBAE/S0963548322000190a.pdf/div-class-title-degree-sequences-of-sufficiently-dense-random-uniform-hypergraphs-div.pdf","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"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3173052347.pdf","grobid_xml":"https://content.openalex.org/works/W3173052347.grobid-xml"},"referenced_works_count":41,"referenced_works":["https://openalex.org/W1483804921","https://openalex.org/W1487444668","https://openalex.org/W1662209815","https://openalex.org/W1718360928","https://openalex.org/W1850102257","https://openalex.org/W1966599810","https://openalex.org/W1977880122","https://openalex.org/W1998108307","https://openalex.org/W2023631060","https://openalex.org/W2034302725","https://openalex.org/W2074878962","https://openalex.org/W2080051189","https://openalex.org/W2086760168","https://openalex.org/W2111453434","https://openalex.org/W2148201159","https://openalex.org/W2148917772","https://openalex.org/W2275026674","https://openalex.org/W2327022120","https://openalex.org/W2344791152","https://openalex.org/W2478722229","https://openalex.org/W2523755042","https://openalex.org/W2528729631","https://openalex.org/W2595179208","https://openalex.org/W2732711529","https://openalex.org/W2779718836","https://openalex.org/W2962925849","https://openalex.org/W2969292053","https://openalex.org/W2971235269","https://openalex.org/W2972686631","https://openalex.org/W3001133135","https://openalex.org/W3037707435","https://openalex.org/W3072111044","https://openalex.org/W3097922641","https://openalex.org/W3104110622","https://openalex.org/W3105441780","https://openalex.org/W3144881883","https://openalex.org/W4290075478","https://openalex.org/W4291439952","https://openalex.org/W4301621763","https://openalex.org/W6779805388","https://openalex.org/W6841955696"],"related_works":["https://openalex.org/W4299952925","https://openalex.org/W2959649007","https://openalex.org/W2796588690","https://openalex.org/W3072111044","https://openalex.org/W3161036109","https://openalex.org/W4210593577","https://openalex.org/W4287118688","https://openalex.org/W3173052347","https://openalex.org/W4287726867","https://openalex.org/W2591055514"],"abstract_inverted_index":{"Abstract":[0],"We":[1,42],"find":[2],"an":[3,66],"asymptotic":[4,68],"enumeration":[5],"formula":[6,29,69],"for":[7],"the":[8,21,35,47,62,71,86,105],"number":[9,22,98,117],"of":[10,23,34,37,40,53,85,89,99,108,124],"simple":[11],"$r$":[12,92,111],"-uniform":[13,93,112],"hypergraphs":[14],"with":[15,95,114],"a":[16,38,54,90,96,109,115],"given":[17,31,97,116],"degree":[18,48,72,87,106],"sequence,":[19],"when":[20,70],"edges":[24,118],"is":[25,30,74],"sufficiently":[26],"large.":[27],"The":[28],"in":[32],"terms":[33],"solution":[36,55],"system":[39,63],"equations.":[41],"give":[43,65],"sufficient":[44],"conditions":[45],"on":[46,131],"sequence":[49,73,88,107],"which":[50],"guarantee":[51],"existence":[52],"to":[56,76,81,119],"this":[57],"system.":[58],"Furthermore,":[59],"we":[60,103],"solve":[61],"and":[64],"explicit":[67],"close":[75],"regular.":[77],"This":[78],"allows":[79],"us":[80],"establish":[82],"several":[83],"properties":[84],"random":[91,110,128],"hypergraph":[94,113],"edges.":[100],"More":[101],"specifically,":[102],"compare":[104],"certain":[120],"models":[121],"involving":[122],"sequences":[123],"binomial":[125],"or":[126],"hypergeometric":[127],"variables":[129],"conditioned":[130],"their":[132],"sum.":[133]},"counts_by_year":[{"year":2024,"cited_by_count":2}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}
