{"id":"https://openalex.org/W2060542023","doi":"https://doi.org/10.1137/s0097539700371053","title":"Matchings Meeting Quotas and Their Impact on the Blow-Up Lemma","display_name":"Matchings Meeting Quotas and Their Impact on the Blow-Up Lemma","publication_year":2001,"publication_date":"2001-01-01","ids":{"openalex":"https://openalex.org/W2060542023","doi":"https://doi.org/10.1137/s0097539700371053","mag":"2060542023"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539700371053","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539700371053","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 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/A5109078443","display_name":"Vojt\u011bch R\u00f6dl","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Vojtech R\u00f6dl","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5078267731","display_name":"Andrzej Ruci\u0144ski","orcid":"https://orcid.org/0000-0002-0742-7694"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Andrzej Rucinski","raw_affiliation_strings":[],"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5055439063","display_name":"Michelle Wagner","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Michelle Wagner","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5109078443"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.19088146,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"31","issue":"2","first_page":"428","last_page":"446"},"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":1.0,"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":1.0,"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":0.9995999932289124,"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":0.9984999895095825,"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/combinatorics","display_name":"Combinatorics","score":0.838816225528717},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.764772891998291},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7643389701843262},{"id":"https://openalex.org/keywords/lemma","display_name":"Lemma (botany)","score":0.6133014559745789},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5746040940284729},{"id":"https://openalex.org/keywords/constructive-proof","display_name":"Constructive proof","score":0.5407758355140686},{"id":"https://openalex.org/keywords/constructive","display_name":"Constructive","score":0.4931914210319519},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4801173210144043},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.47754988074302673},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.41748693585395813},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.06421974301338196}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.838816225528717},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.764772891998291},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7643389701843262},{"id":"https://openalex.org/C2777759810","wikidata":"https://www.wikidata.org/wiki/Q149316","display_name":"Lemma (botany)","level":3,"score":0.6133014559745789},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5746040940284729},{"id":"https://openalex.org/C202854965","wikidata":"https://www.wikidata.org/wiki/Q3044470","display_name":"Constructive proof","level":2,"score":0.5407758355140686},{"id":"https://openalex.org/C2778701210","wikidata":"https://www.wikidata.org/wiki/Q28130034","display_name":"Constructive","level":3,"score":0.4931914210319519},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4801173210144043},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.47754988074302673},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.41748693585395813},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.06421974301338196},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","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},{"id":"https://openalex.org/C98045186","wikidata":"https://www.wikidata.org/wiki/Q205663","display_name":"Process (computing)","level":2,"score":0.0},{"id":"https://openalex.org/C46757340","wikidata":"https://www.wikidata.org/wiki/Q43238","display_name":"Poaceae","level":2,"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/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1137/s0097539700371053","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539700371053","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"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 Computing","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.6.2619","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.6.2619","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.mathcs.emory.edu/~rodl/papers/2001/rrw01.ps.gz","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":13,"referenced_works":["https://openalex.org/W1504514920","https://openalex.org/W2008120342","https://openalex.org/W2010512224","https://openalex.org/W2017776863","https://openalex.org/W2020236981","https://openalex.org/W2054249991","https://openalex.org/W2068871408","https://openalex.org/W2082497622","https://openalex.org/W2083580384","https://openalex.org/W2157529519","https://openalex.org/W2336890593","https://openalex.org/W2953152412","https://openalex.org/W4255224584"],"related_works":["https://openalex.org/W4224943664","https://openalex.org/W2954167023","https://openalex.org/W2064351239","https://openalex.org/W2949665548","https://openalex.org/W2114983089","https://openalex.org/W1993984283","https://openalex.org/W3186402499","https://openalex.org/W2063422058","https://openalex.org/W2950188642","https://openalex.org/W2109693504"],"abstract_inverted_index":{"A":[0],"bipartite":[1,87],"graph":[2,88],"G":[3,25,40,53,57,89,99],"=":[4,90],"(U,V;E)":[5],"is":[6,41,48,58,100,118],"called":[7,59],"$\\epsilon$-regular":[8],"if":[9,72,93],"the":[10,21,34,49,104,113,129,145],"edge":[11,22,50],"density":[12,23,51],"of":[13,24,36,52,82,98,106,108,132,144,148],"every":[14],"sufficiently":[15],"large":[16],"induced":[17],"subgraph":[18],"differs":[19],"from":[20],"by":[26],"no":[27],"more":[28],"than":[29],"$\\epsilon$.":[30],"If,":[31],"in":[32,39,84],"addition,":[33],"degree":[35],"each":[37],"vertex":[38],"between":[42,112],"$(d-\\epsilon)n$":[43],"and":[44,54,76,92,116,151,159],"$(d+\\epsilon)n$,":[45],"where":[46],"d":[47],"|U|=|V|=n,":[55],"then":[56,103],"super":[60],"$(d,\\epsilon)$-regular.":[61],"In":[62,121],"[Combinatorica,":[63,154],"19":[64],"(1999),":[65],"pp.":[66,157,165],"437--452]":[67],"it":[68],"was":[69],"shown":[70],"that":[71,110],"$S":[73],"\\subset":[74,78],"U$":[75],"$T":[77],"V$":[79],"are":[80],"subsets":[81],"vertices":[83],"a":[85,94],"super-regular":[86],"(U,V;E),":[91],"perfect":[95],"matching":[96],"M":[97,109],"chosen":[101],"randomly,":[102],"number":[105],"edges":[107],"go":[111],"sets":[114],"S":[115],"T":[117],"roughly":[119],"|S||T|/n.":[120],"this":[122,126],"paper,":[123],"we":[124,138],"derandomize":[125],"result":[127],"using":[128],"Erdos--Selfridge":[130],"method":[131],"conditional":[133],"probabilities.":[134],"As":[135],"an":[136,140],"application,":[137],"give":[139],"alternative":[141],"constructive":[142],"proof":[143],"blow-up":[146],"lemma":[147],"$\\komlos$,":[149],"$\\sarkozy$,":[150],"$\\szemeredi$":[152],"(see":[153],"17":[155],"(1997),":[156],"109--123]":[158],"[Random":[160],"Structures":[161],"Algorithms,":[162],"12":[163],"(1998),":[164],"297--312]).":[166]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
