{"id":"https://openalex.org/W3107454793","doi":"https://doi.org/10.1007/s00453-021-00844-5","title":"Best Fit Bin Packing with Random Order Revisited","display_name":"Best Fit Bin Packing with Random Order Revisited","publication_year":2021,"publication_date":"2021-07-01","ids":{"openalex":"https://openalex.org/W3107454793","doi":"https://doi.org/10.1007/s00453-021-00844-5","mag":"3107454793","pmid":"https://pubmed.ncbi.nlm.nih.gov/34776569"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-021-00844-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00844-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00844-5.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref","datacite","pubmed"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00844-5.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5074909595","display_name":"Susanne Albers","orcid":"https://orcid.org/0000-0001-5848-5360"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Susanne Albers","raw_affiliation_strings":["Department of Computer Science, Technial University of Munich, Boltzmannstr. 3, 85748 Garching, Germany","Technical University of Munich"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technial University of Munich, Boltzmannstr. 3, 85748 Garching, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5085907661","display_name":"Arindam Khan","orcid":"https://orcid.org/0000-0001-7505-1687"},"institutions":[{"id":"https://openalex.org/I59270414","display_name":"Indian Institute of Science Bangalore","ror":"https://ror.org/04dese585","country_code":"IN","type":"education","lineage":["https://openalex.org/I59270414"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Arindam Khan","raw_affiliation_strings":["Department of Computer Science and Automation, Indian Institute of Science, Bangalore, 560012 India","Indian Institute of Science"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Automation, Indian Institute of Science, Bangalore, 560012 India","institution_ids":["https://openalex.org/I59270414"]},{"raw_affiliation_string":"Indian Institute of Science","institution_ids":["https://openalex.org/I59270414"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5048700573","display_name":"Leon Ladewig","orcid":"https://orcid.org/0000-0001-5998-8154"},"institutions":[{"id":"https://openalex.org/I62916508","display_name":"Technical University of Munich","ror":"https://ror.org/02kkvpp62","country_code":"DE","type":"education","lineage":["https://openalex.org/I62916508"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Leon Ladewig","raw_affiliation_strings":["Department of Computer Science, Technial University of Munich, Boltzmannstr. 3, 85748 Garching, Germany","Technical University of Munich"],"raw_orcid":"https://orcid.org/0000-0001-5998-8154","affiliations":[{"raw_affiliation_string":"Department of Computer Science, Technial University of Munich, Boltzmannstr. 3, 85748 Garching, Germany","institution_ids":["https://openalex.org/I62916508"]},{"raw_affiliation_string":"Technical University of Munich","institution_ids":["https://openalex.org/I62916508"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5048700573"],"corresponding_institution_ids":["https://openalex.org/I62916508"],"apc_list":{"value":2890,"currency":"USD","value_usd":2890},"apc_paid":{"value":2890,"currency":"USD","value_usd":2890},"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.01860033,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"83","issue":"9","first_page":"2833","last_page":"2858"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":1.0,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/T12176","display_name":"Optimization and Packing Problems","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9991999864578247,"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/online-algorithm","display_name":"Online algorithm","score":0.5987609028816223},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.571471631526947},{"id":"https://openalex.org/keywords/competitive-analysis","display_name":"Competitive analysis","score":0.5566059947013855},{"id":"https://openalex.org/keywords/bin","display_name":"Bin","score":0.5491440892219543},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.5429773330688477},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5392225384712219},{"id":"https://openalex.org/keywords/cardinality","display_name":"Cardinality (data modeling)","score":0.509760320186615},{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.4965522885322571},{"id":"https://openalex.org/keywords/bin-packing-problem","display_name":"Bin packing problem","score":0.4733312726020813},{"id":"https://openalex.org/keywords/product","display_name":"Product (mathematics)","score":0.44412797689437866},{"id":"https://openalex.org/keywords/matching","display_name":"Matching (statistics)","score":0.4331142008304596},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40417832136154175},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35414594411849976},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.331046462059021},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3147910535335541},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.25212931632995605},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.10175076127052307}],"concepts":[{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.5987609028816223},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.571471631526947},{"id":"https://openalex.org/C102408133","wikidata":"https://www.wikidata.org/wiki/Q5156350","display_name":"Competitive analysis","level":3,"score":0.5566059947013855},{"id":"https://openalex.org/C156273044","wikidata":"https://www.wikidata.org/wiki/Q4913766","display_name":"Bin","level":2,"score":0.5491440892219543},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.5429773330688477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5392225384712219},{"id":"https://openalex.org/C87117476","wikidata":"https://www.wikidata.org/wiki/Q362383","display_name":"Cardinality (data modeling)","level":2,"score":0.509760320186615},{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.4965522885322571},{"id":"https://openalex.org/C87219788","wikidata":"https://www.wikidata.org/wiki/Q814581","display_name":"Bin packing problem","level":3,"score":0.4733312726020813},{"id":"https://openalex.org/C90673727","wikidata":"https://www.wikidata.org/wiki/Q901718","display_name":"Product (mathematics)","level":2,"score":0.44412797689437866},{"id":"https://openalex.org/C165064840","wikidata":"https://www.wikidata.org/wiki/Q1321061","display_name":"Matching (statistics)","level":2,"score":0.4331142008304596},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40417832136154175},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35414594411849976},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.331046462059021},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3147910535335541},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.25212931632995605},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.10175076127052307},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":8,"locations":[{"id":"doi:10.1007/s00453-021-00844-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00844-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00844-5.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},{"id":"pmid:34776569","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/34776569","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":null},{"id":"pmh:oai:eprints.iisc.ac.in:66603","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":{"id":"https://openalex.org/S4377196309","display_name":"NOT FOUND REPOSITORY (Indian Institute of Science Bangalore)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I59270414","host_organization_name":"Indian Institute of Science Bangalore","host_organization_lineage":["https://openalex.org/I59270414"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"acceptedVersion","is_accepted":true,"is_published":false,"raw_source_name":"","raw_type":"Conference Paper"},{"id":"pmh:oai:arXiv.org:2012.00511","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2012.00511","pdf_url":"https://arxiv.org/pdf/2012.00511","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"","raw_type":"text"},{"id":"mag:3107454793","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/2012.00511.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:oai:europepmc.org:7469078","is_oa":true,"landing_page_url":"http://europepmc.org/pmc/articles/PMC8550633","pdf_url":null,"source":{"id":"https://openalex.org/S4306400806","display_name":"Europe PMC (PubMed Central)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1303153112","host_organization_name":"European Bioinformatics Institute","host_organization_lineage":["https://openalex.org/I1303153112"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:8550633","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/8550633","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"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":"Algorithmica","raw_type":"Text"},{"id":"doi:10.48550/arxiv.2012.00511","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2012.00511","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":"2331-8422","issn":["2331-8422"],"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"Preprint"}],"best_oa_location":{"id":"doi:10.1007/s00453-021-00844-5","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00844-5","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00844-5.pdf","source":{"id":"https://openalex.org/S89324355","display_name":"Algorithmica","issn_l":"0178-4617","issn":["0178-4617","1432-0541"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Algorithmica","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320323383","display_name":"Technische Universit\u00e4t M\u00fcnchen","ror":"https://ror.org/02kkvpp62"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3107454793.pdf","grobid_xml":"https://content.openalex.org/works/W3107454793.grobid-xml"},"referenced_works_count":42,"referenced_works":["https://openalex.org/W14327270","https://openalex.org/W90213227","https://openalex.org/W1600293573","https://openalex.org/W1910278602","https://openalex.org/W1971235162","https://openalex.org/W1998334645","https://openalex.org/W2009931551","https://openalex.org/W2009990213","https://openalex.org/W2016393589","https://openalex.org/W2021170159","https://openalex.org/W2029728897","https://openalex.org/W2043862089","https://openalex.org/W2048628062","https://openalex.org/W2048905935","https://openalex.org/W2058200712","https://openalex.org/W2078659331","https://openalex.org/W2079669094","https://openalex.org/W2087514997","https://openalex.org/W2104680817","https://openalex.org/W2123068254","https://openalex.org/W2129253870","https://openalex.org/W2145028977","https://openalex.org/W2162656786","https://openalex.org/W2183531780","https://openalex.org/W2204184450","https://openalex.org/W2247572377","https://openalex.org/W2577702044","https://openalex.org/W2794235031","https://openalex.org/W2885549115","https://openalex.org/W2897002186","https://openalex.org/W2952720641","https://openalex.org/W2963014036","https://openalex.org/W2963083784","https://openalex.org/W2964205596","https://openalex.org/W2964260368","https://openalex.org/W2972193181","https://openalex.org/W2980567354","https://openalex.org/W3001995001","https://openalex.org/W3082002725","https://openalex.org/W3128026047","https://openalex.org/W4247154108","https://openalex.org/W6677220251"],"related_works":["https://openalex.org/W3082002725","https://openalex.org/W1895456665","https://openalex.org/W2547989012","https://openalex.org/W3022786352","https://openalex.org/W2804080355","https://openalex.org/W1493342333","https://openalex.org/W2937886822","https://openalex.org/W1998513960","https://openalex.org/W2952057465","https://openalex.org/W1673077068","https://openalex.org/W1853391011","https://openalex.org/W2773568760","https://openalex.org/W2966706308","https://openalex.org/W2946521499","https://openalex.org/W2397083562","https://openalex.org/W3125165972","https://openalex.org/W2969947354","https://openalex.org/W2980041154","https://openalex.org/W2606301974","https://openalex.org/W3181313840"],"abstract_inverted_index":{"Abstract":[0],"Best":[1,86,110,125,175,205,265],"Fit":[2,111,126,176,206,266],"is":[3,63,162,184,267],"a":[4,15,25,32,199,208,251],"well":[5],"known":[6],"online":[7,50,101,196],"algorithm":[8,112],"for":[9,49,80,108,231,244],"the":[10,39,56,59,81,98,109,114,120,129,141,153,163,172,178,188,194,216,223,226,259,272],"bin":[11],"packing":[12],"problem,":[13],"where":[14,143,274],"collection":[16],"of":[17,28,61,75,85,91,100,116,124,138,165,174,225,254,264,287],"one-dimensional":[18],"items":[19,145,168,276],"has":[20,105],"to":[21,159,187,236],"be":[22,248],"packed":[23,249],"into":[24,250],"minimum":[26],"number":[27,253],"unit-sized":[29],"bins.":[30,255],"In":[31,219,234],"seminal":[33],"work,":[34],"Kenyon":[35],"[SODA":[36],"1996]":[37],"introduced":[38],"(asymptotic)":[40],"random":[41,82,121,154,228,261],"order":[42,60,83,122,155,229,262],"ratio":[43,84,123,156,230,263],"as":[44],"an":[45,53,134],"alternative":[46],"performance":[47,173],"measure":[48],"algorithms.":[51],"Here,":[52],"adversary":[54],"specifies":[55],"items,":[57],"but":[58],"arrival":[62],"drawn":[64],"uniformly":[65],"at":[66,268],"random.":[67],"Kenyon\u2019s":[68],"result":[69,115],"establishes":[70],"lower":[71,136,285],"and":[72,77,127,284,289],"upper":[73,283],"bounds":[74,286],"1.08":[76],"1.5,":[78],"respectively,":[79],"Fit.":[87],"Although":[88],"this":[89,182,232],"type":[90],"analysis":[92],"model":[93],"became":[94],"increasingly":[95],"popular":[96],"in":[97,177,193,215],"field":[99],"algorithms,":[102],"no":[103],"progress":[104],"been":[106],"made":[107],"after":[113],"Kenyon.":[117],"We":[118,256],"study":[119,224],"tighten":[128],"long-standing":[130],"gap":[131],"by":[132],"establishing":[133],"improved":[135],"bound":[137],"1.10.":[139],"For":[140,271],"case":[142,183,273],"all":[144,275],"are":[146,277],"larger":[147,278],"than":[148,279],"1/3,":[149,280],"we":[150,202,221,281],"show":[151,203,257],"that":[152,169,204,246,258],"converges":[157],"quickly":[158],"1.25.":[160],"It":[161],"existence":[164],"such":[166,212],"large":[167],"crucially":[170],"determines":[171],"general":[179,217],"case.":[180,218],"Moreover,":[181],"closely":[185],"related":[186],"classical":[189],"maximum-cardinality":[190],"matching":[191],"problem":[192],"fully":[195],"model.":[197],"As":[198],"side":[200],"product,":[201],"satisfies":[207],"monotonicity":[209],"property":[210],"on":[211],"instances,":[213],"unlike":[214],"addition,":[220],"initiate":[222],"absolute":[227,239,260],"problem.":[233],"contrast":[235],"asymptotic":[237],"ratios,":[238],"ratios":[240],"must":[241],"hold":[242],"even":[243],"instances":[245],"can":[247],"small":[252],"least":[269],"1.3.":[270],"derive":[282],"21/16":[288],"1.2,":[290],"respectively.":[291]},"counts_by_year":[],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}