{"id":"https://openalex.org/W4221156973","doi":"https://doi.org/10.1137/22m1534468","title":"Online List Labeling: Breaking the \\({\\log^2 n}\\) Barrier","display_name":"Online List Labeling: Breaking the \\({\\log^2 n}\\) Barrier","publication_year":2024,"publication_date":"2024-04-11","ids":{"openalex":"https://openalex.org/W4221156973","doi":"https://doi.org/10.1137/22m1534468"},"language":"en","primary_location":{"id":"doi:10.1137/22m1534468","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1534468","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":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/2203.02763","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5068761590","display_name":"Michael A. Bender","orcid":"https://orcid.org/0000-0001-7639-530X"},"institutions":[{"id":"https://openalex.org/I59553526","display_name":"Stony Brook University","ror":"https://ror.org/05qghxh33","country_code":"US","type":"education","lineage":["https://openalex.org/I59553526"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Michael A. Bender","raw_affiliation_strings":["Department of Computer Science, Stony Brook University, Stony Brook, NY 11794 USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Stony Brook University, Stony Brook, NY 11794 USA","institution_ids":["https://openalex.org/I59553526"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5091614420","display_name":"Alexander Conway","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Alex Conway","raw_affiliation_strings":["Department of Computer Science, Cornell Tech, New York, NY 10044 USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Cornell Tech, New York, NY 10044 USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087023890","display_name":"Mart\u0131\u0301n Farach-Colton","orcid":"https://orcid.org/0000-0003-3616-7788"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Mart\u00edn Farach-Colton","raw_affiliation_strings":["Department of Computer Science and Engineering, New York University, New York, NY 10003 USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, New York University, New York, NY 10003 USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5045018476","display_name":"Hanna Koml\u00f3s","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hanna Koml\u00f3s","raw_affiliation_strings":["Department of Computer Science and Engineering, New York University, New York, NY 10003 USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, New York University, New York, NY 10003 USA","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005111940","display_name":"William Kuszmaul","orcid":"https://orcid.org/0000-0002-3855-3036"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"William Kuszmaul","raw_affiliation_strings":["Department of Computer Science, Harvard University, Cambridge, MA 02138 USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, Harvard University, Cambridge, MA 02138 USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5091698334","display_name":"Nicole Wein","orcid":"https://orcid.org/0000-0003-2792-2374"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Nicole Wein","raw_affiliation_strings":["Computer Science and Engineering Division, University of Michigan, Ann Arbor, MI 48109 USA"],"affiliations":[{"raw_affiliation_string":"Computer Science and Engineering Division, University of Michigan, Ann Arbor, MI 48109 USA","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":6,"corresponding_author_ids":["https://openalex.org/A5068761590"],"corresponding_institution_ids":["https://openalex.org/I59553526"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.00195316,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"54","issue":"5","first_page":"FOCS22","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12288","display_name":"Optimization and Search Problems","score":0.4788999855518341,"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":0.4788999855518341,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.3124000132083893,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.04010000079870224,"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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7517132759094238},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7069376111030579},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.6546265482902527},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.6512898802757263},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.5549752712249756},{"id":"https://openalex.org/keywords/log-log-plot","display_name":"Log-log plot","score":0.5207629203796387},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4770081043243408},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.46825987100601196},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3532981276512146},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2075028121471405},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.12532532215118408}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7517132759094238},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7069376111030579},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.6546265482902527},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.6512898802757263},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.5549752712249756},{"id":"https://openalex.org/C195292467","wikidata":"https://www.wikidata.org/wiki/Q2091879","display_name":"Log-log plot","level":3,"score":0.5207629203796387},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4770081043243408},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.46825987100601196},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3532981276512146},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2075028121471405},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.12532532215118408},{"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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","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}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1137/22m1534468","is_oa":false,"landing_page_url":"https://doi.org/10.1137/22m1534468","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:arXiv.org:2203.02763","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2203.02763","pdf_url":"https://arxiv.org/pdf/2203.02763","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":"","raw_type":"text"},{"id":"doi:10.48550/arxiv.2203.02763","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2203.02763","pdf_url":null,"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":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:2203.02763","is_oa":true,"landing_page_url":"http://arxiv.org/abs/2203.02763","pdf_url":"https://arxiv.org/pdf/2203.02763","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":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G1369922885","display_name":"CCF-BSF: AF: Small: Collaborative Research: The Dictionary Problem Considered","funder_award_id":"1716252","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1390987118","display_name":null,"funder_award_id":"CNS-1938709","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1436086461","display_name":null,"funder_award_id":"CNS-1938180","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G1593554039","display_name":null,"funder_award_id":"CCF-1716252","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3008709544","display_name":null,"funder_award_id":"CCF-2247577","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3146337093","display_name":"CSR: Medium: Approximate Membership Query Data Structures in Computational Biology and Storage","funder_award_id":"1763680","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3705246756","display_name":null,"funder_award_id":"2106999","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G3868869440","display_name":null,"funder_award_id":"CCF-2106827","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4290510267","display_name":null,"funder_award_id":"CCF-2106999","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G4822357672","display_name":null,"funder_award_id":"2118620","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G5212751966","display_name":null,"funder_award_id":"820931","funder_id":"https://openalex.org/F4320306164","funder_display_name":"Simons Foundation"},{"id":"https://openalex.org/G5464415299","display_name":null,"funder_award_id":"2118832","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6076212696","display_name":null,"funder_award_id":"2106827","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G6382986909","display_name":null,"funder_award_id":"CCF-2118620","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7097317338","display_name":null,"funder_award_id":"CSR-1763680","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7119117376","display_name":null,"funder_award_id":"1938180","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7510981485","display_name":null,"funder_award_id":"CCF-2118832","funder_id":"https://openalex.org/F4320306076","funder_display_name":"National Science Foundation"},{"id":"https://openalex.org/G7964149644","display_name":null,"funder_award_id":"FA8750-19-2-1000","funder_id":"https://openalex.org/F4320338294","funder_display_name":"Air Force Research Laboratory"},{"id":"https://openalex.org/G8239798060","display_name":null,"funder_award_id":"1938709","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"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320308782","display_name":"Hertz Foundation","ror":"https://ror.org/01ycgxf29"},{"id":"https://openalex.org/F4320337368","display_name":"Division of Graduate Education","ror":"https://ror.org/00whkrf32"},{"id":"https://openalex.org/F4320338294","display_name":"Air Force Research Laboratory","ror":"https://ror.org/02e2egq70"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4221156973.pdf","grobid_xml":"https://content.openalex.org/works/W4221156973.grobid-xml"},"referenced_works_count":27,"referenced_works":["https://openalex.org/W1518873433","https://openalex.org/W1542861787","https://openalex.org/W1624393875","https://openalex.org/W1916550914","https://openalex.org/W1991057904","https://openalex.org/W1996578733","https://openalex.org/W2026166434","https://openalex.org/W2027002571","https://openalex.org/W2028689405","https://openalex.org/W2028778377","https://openalex.org/W2036871832","https://openalex.org/W2042611354","https://openalex.org/W2054052779","https://openalex.org/W2060292954","https://openalex.org/W2069574596","https://openalex.org/W2070991879","https://openalex.org/W2073667726","https://openalex.org/W2099844038","https://openalex.org/W2119885577","https://openalex.org/W2122564642","https://openalex.org/W2123290522","https://openalex.org/W2151454836","https://openalex.org/W2168023916","https://openalex.org/W2512795599","https://openalex.org/W2892360507","https://openalex.org/W2954903633","https://openalex.org/W3139991122"],"related_works":["https://openalex.org/W38294843","https://openalex.org/W48798029","https://openalex.org/W61801210","https://openalex.org/W66583","https://openalex.org/W129505","https://openalex.org/W9459877","https://openalex.org/W5091314","https://openalex.org/W1022019","https://openalex.org/W58076550","https://openalex.org/W30665027"],"abstract_inverted_index":{"The":[0,20,117],"online":[1],"list":[2],"labeling":[3],"problem":[4],"is":[5,22,98,124,128,176,187,229],"an":[6,32,77,144],"algorithmic":[7],"primitive":[8],"with":[9],"a":[10,25,138,204],"large":[11],"literature":[12],"of":[13,28,34,59,80,95,148,183,189],"upper":[14,78],"bounds,":[15,17],"lower":[16,93,112,206],"and":[18,48,103,215],"applications.":[19],"goal":[21],"to":[23,55],"store":[24],"dynamically-changing":[26],"set":[27],"$n$":[29],"items":[30,43,60,194],"in":[31,45,121,192],"array":[33],"$m$":[35],"slots,":[36],"while":[37,49],"maintaining":[38],"the":[39,42,51,57,67,84,109,122,166,181,184,190,221],"invariant":[40],"that":[41,61,142,180],"appear":[44],"sorted":[46],"order,":[47],"minimizing":[50],"relabeling":[52,85,146,168],"cost,":[53],"defined":[54],"be":[56],"number":[58],"are":[62,195],"moved":[63],"per":[64,151],"insertion/deletion.":[65],"For":[66,197],"linear":[68],"regime,":[69],"where":[70],"$m":[71,156],"=":[72,157,164],"(1":[73,158],"+":[74,159],"\u0398(1))":[75],"n$,":[76],"bound":[79,94,113],"$O(\\log^2":[81,126],"n)$":[82,97,127,150],"on":[83],"cost":[86,147,169,224],"has":[87],"been":[88],"known":[89,99],"since":[90],"1981.":[91],"A":[92],"$\u03a9(\\log^2":[96],"for":[100,104,130,162,208,225],"deterministic":[101],"algorithms":[102],"so-called":[105],"smooth":[106],"algorithms,":[107],"but":[108],"best":[110],"general":[111],"remains":[114],"$\u03a9(\\log":[115],"n)$.":[116,173,231],"central":[118],"open":[119],"question":[120],"field":[123],"whether":[125],"optimal":[129,222],"all":[131,209],"algorithms.":[132],"In":[133],"this":[134],"paper,":[135],"we":[136,201],"give":[137],"randomized":[139],"data":[140,185,199],"structure":[141,186],"achieves":[143],"expected":[145,167,223],"$O(\\log^{3/2}":[149],"operation.":[152],"More":[153],"generally,":[154],"if":[155],"\\varepsilon)":[160],"n$":[161],"$\\varepsilon":[163],"O(1)$,":[165],"becomes":[170],"$O(\\varepsilon^{-1}":[171],"\\log^{3/2}":[172],"Our":[174],"solution":[175],"history":[177],"independent,":[178],"meaning":[179],"state":[182],"independent":[188],"order":[191],"which":[193],"inserted/deleted.":[196],"history-independent":[198,226],"structures,":[200],"also":[202],"prove":[203],"matching":[205],"bound:":[207],"$\u03b5$":[210],"between":[211],"$1":[212],"/":[213],"n^{1/3}$":[214],"some":[216],"sufficiently":[217],"small":[218],"positive":[219],"constant,":[220],"list-labeling":[227],"solutions":[228],"$\u0398(\\varepsilon^{-1}\\log^{3/2}":[230]},"counts_by_year":[],"updated_date":"2026-04-21T08:09:41.155169","created_date":"2022-04-03T00:00:00"}