{"id":"https://openalex.org/W1809515066","doi":"https://doi.org/10.1017/s0963548319000051","title":"A natural barrier in random greedy hypergraph matching","display_name":"A natural barrier in random greedy hypergraph matching","publication_year":2019,"publication_date":"2019-06-27","ids":{"openalex":"https://openalex.org/W1809515066","doi":"https://doi.org/10.1017/s0963548319000051","mag":"1809515066"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548319000051","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548319000051","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1210.3581","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5025184846","display_name":"Patrick Bennett","orcid":"https://orcid.org/0000-0003-3147-4690"},"institutions":[{"id":"https://openalex.org/I141649380","display_name":"Western Michigan University","ror":"https://ror.org/04j198w64","country_code":"US","type":"education","lineage":["https://openalex.org/I141649380"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Patrick Bennett","raw_affiliation_strings":["Mathematics Department, Western Michigan University, Kalamazoo, MI 49008, USA, Email:","Mathematics Department, Western Michigan University"],"affiliations":[{"raw_affiliation_string":"Mathematics Department, Western Michigan University, Kalamazoo, MI 49008, USA, Email:","institution_ids":["https://openalex.org/I141649380"]},{"raw_affiliation_string":"Mathematics Department, Western Michigan University","institution_ids":["https://openalex.org/I141649380"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079523589","display_name":"Tom Bohman","orcid":"https://orcid.org/0000-0002-4051-2401"},"institutions":[{"id":"https://openalex.org/I74973139","display_name":"Carnegie Mellon University","ror":"https://ror.org/05x2bcf33","country_code":"US","type":"education","lineage":["https://openalex.org/I74973139"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Tom Bohman","raw_affiliation_strings":["Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213, USA","Dept. of Mathematical Sciences, Carnegie Mellon University,"],"affiliations":[{"raw_affiliation_string":"Department of Mathematical Sciences, Carnegie Mellon University, Pittsburgh, PA 15213, USA","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Dept. of Mathematical Sciences, Carnegie Mellon University,","institution_ids":["https://openalex.org/I74973139"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5079523589"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":null,"apc_paid":null,"fwci":4.0543,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.93329078,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"28","issue":"06","first_page":"816","last_page":"825"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9973000288009644,"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/T11269","display_name":"Algorithms and Data Compression","score":0.9947999715805054,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/hypergraph","display_name":"Hypergraph","score":0.9122047424316406},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.867523729801178},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6732994914054871},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.6375966668128967},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.5739585161209106},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.5234869718551636},{"id":"https://openalex.org/keywords/greedy-algorithm","display_name":"Greedy algorithm","score":0.41354769468307495},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3665377199649811},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3493519425392151},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12520715594291687},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.119903564453125},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.05161041021347046}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.9122047424316406},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.867523729801178},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6732994914054871},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.6375966668128967},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.5739585161209106},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.5234869718551636},{"id":"https://openalex.org/C51823790","wikidata":"https://www.wikidata.org/wiki/Q504353","display_name":"Greedy algorithm","level":2,"score":0.41354769468307495},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3665377199649811},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3493519425392151},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12520715594291687},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.119903564453125},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.05161041021347046},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1017/s0963548319000051","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548319000051","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"},{"id":"pmh:oai:arXiv.org:1210.3581","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1210.3581","pdf_url":"https://arxiv.org/pdf/1210.3581","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"raw_type":"text"},{"id":"pmh:oai:figshare.com:article/6476573","is_oa":true,"landing_page_url":"https://figshare.com/articles/journal_contribution/A_natural_barrier_in_random_greedy_hypergraph_matching/6476573","pdf_url":"https://figshare.com/articles/A_natural_barrier_in_random_greedy_hypergraph_matching/6476573","source":{"id":"https://openalex.org/S4377196282","display_name":"Figshare","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210132348","host_organization_name":"Figshare (United Kingdom)","host_organization_lineage":["https://openalex.org/I4210132348"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:repository.cmu.edu:math-1700","is_oa":false,"landing_page_url":"http://repository.cmu.edu/math/705","pdf_url":null,"source":{"id":"https://openalex.org/S4306400668","display_name":"Research Showcase @ Carnegie Mellon University (Carnegie Mellon University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I74973139","host_organization_name":"Carnegie Mellon University","host_organization_lineage":["https://openalex.org/I74973139"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Department of Mathematical Sciences","raw_type":"text"},{"id":"pmh:doi:10.1184/r1/6476573","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4406922384","display_name":"Open MIND","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Journal contribution"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.763.2478","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.763.2478","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arxiv.org/pdf/1210.3581.pdf","raw_type":"text"},{"id":"doi:10.1184/r1/6476573.v1","is_oa":true,"landing_page_url":"https://doi.org/10.1184/r1/6476573.v1","pdf_url":null,"source":{"id":"https://openalex.org/S7407050927","display_name":"KiltHub Repository","issn_l":null,"issn":[],"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"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":"article-journal"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1210.3581","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1210.3581","pdf_url":"https://arxiv.org/pdf/1210.3581","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"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":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G7951667816","display_name":"Probabilistic and Extremal Combinatorics","funder_award_id":"1001638","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"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W5090298","https://openalex.org/W1601836823","https://openalex.org/W1865002360","https://openalex.org/W1971289435","https://openalex.org/W1988229094","https://openalex.org/W2042703645","https://openalex.org/W2059967030","https://openalex.org/W2062102322","https://openalex.org/W2082763638","https://openalex.org/W2088622619","https://openalex.org/W2106456894","https://openalex.org/W2108515073","https://openalex.org/W2963656439","https://openalex.org/W2964282678","https://openalex.org/W4232597137","https://openalex.org/W4256281749","https://openalex.org/W4312613502"],"related_works":["https://openalex.org/W4387497383","https://openalex.org/W3183948672","https://openalex.org/W3173606202","https://openalex.org/W3110381201","https://openalex.org/W2948807893","https://openalex.org/W2935909890","https://openalex.org/W2778153218","https://openalex.org/W2758277628","https://openalex.org/W1531601525","https://openalex.org/W2558716804"],"abstract_inverted_index":{"Abstract":[0],"Let":[1],"r":[2,17,161],"\u2a7e":[3],"2":[4],"be":[5,15,92],"a":[6,70,80,107,169],"fixed":[7],"constant":[8],"and":[9,35,96],"let":[10],"$":[11,14,43,46,73,76,140,143],"{\\cal":[12,44,74,141],"H}":[13,45,75,142],"an":[16],"-uniform,":[18],"D":[19,28,158],"-regular":[20],"hypergraph":[21,179],"on":[22,112],"N":[23,32,57],"vertices.":[24],"Assume":[25],"further":[26],"that":[27,36,100,131,144],"\u2192":[29,33],"\u221e":[30,34],"as":[31],"degrees":[37],"of":[38,40,137,139,175],"pairs":[39],"vertices":[41,138],"in":[42,72,93,126,172],"are":[47,122,145],"at":[48,82,89,102,153],"most":[49,154],"L":[50,52,156],"where":[51],"=":[53],"D/":[54],"(":[55,155],"log":[56],")":[58,159],"\u03c9":[59],"(1)":[60,164],".":[61,77,165],"We":[62,78,129],"consider":[63],"the":[64,94,114,127,135,149,173,176],"random":[65,83,90,177],"greedy":[66,178],"algorithm":[67],"for":[68],"forming":[69],"matching":[71,81,95,151,180],"choose":[79],"by":[84,148],"iteratively":[85],"choosing":[86],"edges":[87,99,124],"uniformly":[88],"to":[91,113],"deleting":[97],"all":[98],"share":[101],"least":[103],"one":[104],"vertex":[105],"with":[106,132],"chosen":[108],"edge":[109],"before":[110],"moving":[111],"next":[115],"choice.":[116],"This":[117,166],"process":[118],"terminates":[119],"when":[120],"there":[121],"no":[123],"remaining":[125],"graph.":[128],"show":[130],"high":[133],"probability":[134],"proportion":[136],"not":[146],"saturated":[147],"final":[150],"is":[152,168],"/":[157],"(1/(2(":[160],"\u22121)))+":[162],"o":[163],"point":[167],"natural":[170],"barrier":[171],"analysis":[174],"process.":[181]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":4},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2025-10-10T00:00:00"}
