{"id":"https://openalex.org/W2013430224","doi":"https://doi.org/10.1002/rsa.3240070104","title":"Perfect matchings in random s\u2010uniform hypergraphs","display_name":"Perfect matchings in random s\u2010uniform hypergraphs","publication_year":1995,"publication_date":"1995-08-01","ids":{"openalex":"https://openalex.org/W2013430224","doi":"https://doi.org/10.1002/rsa.3240070104","mag":"2013430224"},"language":"en","primary_location":{"id":"doi:10.1002/rsa.3240070104","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240070104","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures &amp; Algorithms","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/A5056950019","display_name":"Alan Frieze","orcid":"https://orcid.org/0000-0002-8481-5615"},"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":"Alan Frieze","raw_affiliation_strings":["Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213","Department of Mathematics Carnegie-Mellon University Pittsburgh - Pa 15213"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213","institution_ids":["https://openalex.org/I74973139"]},{"raw_affiliation_string":"Department of Mathematics Carnegie-Mellon University Pittsburgh - Pa 15213","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5022615833","display_name":"Svante Janson","orcid":"https://orcid.org/0000-0002-9680-2790"},"institutions":[{"id":"https://openalex.org/I123387679","display_name":"Uppsala University","ror":"https://ror.org/048a87296","country_code":"SE","type":"education","lineage":["https://openalex.org/I123387679"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Svante Janson","raw_affiliation_strings":["Department of Mathematics, Uppsala University, PO Box 480, S-751 06 Uppsala, Sweden"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Uppsala University, PO Box 480, S-751 06 Uppsala, Sweden","institution_ids":["https://openalex.org/I123387679"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5056950019"],"corresponding_institution_ids":["https://openalex.org/I74973139"],"apc_list":{"value":4330,"currency":"USD","value_usd":4330},"apc_paid":null,"fwci":3.0425,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.8988465,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":96},"biblio":{"volume":"7","issue":"1","first_page":"41","last_page":"57"},"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":0.9994000196456909,"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":0.9994000196456909,"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":0.9947999715805054,"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":0.9939000010490417,"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/hypergraph","display_name":"Hypergraph","score":0.9371241331100464},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8375356197357178},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7154603004455566},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.6119668483734131},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.442588746547699},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.42844918370246887},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.10465952754020691},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.04705840349197388}],"concepts":[{"id":"https://openalex.org/C2781221856","wikidata":"https://www.wikidata.org/wiki/Q840247","display_name":"Hypergraph","level":2,"score":0.9371241331100464},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8375356197357178},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7154603004455566},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.6119668483734131},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.442588746547699},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.42844918370246887},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.10465952754020691},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.04705840349197388},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1002/rsa.3240070104","is_oa":false,"landing_page_url":"https://doi.org/10.1002/rsa.3240070104","pdf_url":null,"source":{"id":"https://openalex.org/S59667848","display_name":"Random Structures and Algorithms","issn_l":"1042-9832","issn":["1042-9832","1098-2418"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Random Structures &amp; Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.21.6498","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.21.6498","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.cmu.edu/~af1p/sham.ps.gz","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.57.1047","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.57.1047","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.math.uu.se/~svante/papers/sj106.ps","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W1482601444","https://openalex.org/W1552433097","https://openalex.org/W1963909248","https://openalex.org/W1997698259","https://openalex.org/W2050140567","https://openalex.org/W2090700571","https://openalex.org/W2091476183","https://openalex.org/W2100057426","https://openalex.org/W2111559003","https://openalex.org/W6679956152","https://openalex.org/W6922193963"],"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/W3094179932","https://openalex.org/W3005801850","https://openalex.org/W2950595062"],"abstract_inverted_index":{"Abstract":[0],"Let":[1,115],"E":[2,33],"=":[3,30,45,58,84,94],"{X":[4],"1":[5,20,43,48],",":[6],"X":[7,10,15,42,60,79,82,92],"2":[8],"\u2026,":[9],"m":[11,24,134],"}":[12,66],"where":[13],"the":[14,102],"i":[16,22,50,61,63,73,80,83,89,93],"\u2286":[17],"V":[18,95],"for":[19,47],"\u2264":[21,23,49,51],"are":[25],"distinct.":[26],"The":[27],"hypergraph":[28,110,132],"G":[29],"(":[31],"V,":[32],")":[34],"is":[35,67],"said":[36],"to":[37],"be":[38,119],"s\u2010uniform":[39],"if":[40,71],"|":[41,44],"s":[46,108,116,130],"m.":[52],"A":[53],"set":[54],"of":[55,104,152],"edges":[56,135],"M":[57],"{":[59],":":[62],"\u03f5":[64,76,90],"I":[65,77,91],"a":[68,106,112,141],"perfect":[69,113,142],"matching":[70,143],"(i)":[72],"\u2260":[74],"j":[75],"implies":[78],"\u2229":[81],"0,":[85],"and":[86,121,154],"(ii)":[87],"\u222a":[88],".":[96],"In":[97],"this":[98],"article":[99],"we":[100],"consider":[101],"question":[103],"whether":[105],"random":[107],"\u2010uniform":[109,131],"contains":[111,140],"matching.":[114],"\u2265":[117],"3":[118],"fixed":[120],"m/n":[122,159],"4/3":[123],"\u2192":[124,161],"\u221e.":[125],"We":[126],"show":[127],"that":[128,158],"an":[129,149],"with":[133,144],"chosen":[136],"uniformly":[137],"from":[138],"[74]":[139],"high":[145],"probability.":[146],"This":[147],"improves":[148],"earlier":[150],"result":[151],"Schmidt":[153],"Shamir":[155],"who":[156],"showed":[157],"3/2":[160],"\u221e":[162],"suffices.":[163],"\u00a9":[164],"1995":[165],"John":[166],"Wiley":[167],"&amp;":[168],"Sons,":[169],"Inc.":[170]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2013,"cited_by_count":2}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
