{"id":"https://openalex.org/W2985259739","doi":"https://doi.org/10.1145/3357713.3384306","title":"Unbounded lower bound for k-server against weak adversaries","display_name":"Unbounded lower bound for k-server against weak adversaries","publication_year":2020,"publication_date":"2020-06-06","ids":{"openalex":"https://openalex.org/W2985259739","doi":"https://doi.org/10.1145/3357713.3384306","mag":"2985259739"},"language":"en","primary_location":{"id":"doi:10.1145/3357713.3384306","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3357713.3384306","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1911.01592","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5045471772","display_name":"Marcin Bie\u0144kowski","orcid":"https://orcid.org/0000-0002-2453-7772"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":true,"raw_author_name":"Marcin Bienkowski","raw_affiliation_strings":["University of Wroc\u0142aw, Poland","University of Wroclaw,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962"]},{"raw_affiliation_string":"University of Wroclaw,","institution_ids":["https://openalex.org/I219388962"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5023591555","display_name":"Jaros\u0142aw Byrka","orcid":"https://orcid.org/0000-0002-3387-0913"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Jaros\u0142aw Byrka","raw_affiliation_strings":["University of Wroc\u0142aw, Poland","University of Wroclaw,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962"]},{"raw_affiliation_string":"University of Wroclaw,","institution_ids":["https://openalex.org/I219388962"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5011187509","display_name":"Christian Coester","orcid":"https://orcid.org/0000-0003-3744-0977"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]},{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["NL","PL"],"is_corresponding":false,"raw_author_name":"Christian Coester","raw_affiliation_strings":["CWI, Netherlands","University of Wroclaw,"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"CWI, Netherlands","institution_ids":["https://openalex.org/I1341640284"]},{"raw_affiliation_string":"University of Wroclaw,","institution_ids":["https://openalex.org/I219388962"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5007826587","display_name":"\u0141ukasz Je\u017c","orcid":"https://orcid.org/0000-0002-7375-0641"},"institutions":[{"id":"https://openalex.org/I219388962","display_name":"University of Wroc\u0142aw","ror":"https://ror.org/00yae6e25","country_code":"PL","type":"education","lineage":["https://openalex.org/I219388962"]},{"id":"https://openalex.org/I1341640284","display_name":"Centrum Wiskunde & Informatica","ror":"https://ror.org/00x7ekv49","country_code":"NL","type":"facility","lineage":["https://openalex.org/I1341640284","https://openalex.org/I2800991832"]}],"countries":["NL","PL"],"is_corresponding":false,"raw_author_name":"\u0141ukasz Je\u017c","raw_affiliation_strings":["University of Wroc\u0142aw, Poland","[Centrum Wiskunde & Informatica]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"University of Wroc\u0142aw, Poland","institution_ids":["https://openalex.org/I219388962"]},{"raw_affiliation_string":"[Centrum Wiskunde & Informatica]","institution_ids":["https://openalex.org/I1341640284"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5045471772"],"corresponding_institution_ids":["https://openalex.org/I219388962"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.0173022,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"1165","last_page":"1169"},"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9781000018119812,"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/T12101","display_name":"Advanced Bandit Algorithms Research","score":0.9550999999046326,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/competitive-analysis","display_name":"Competitive analysis","score":0.7509779930114746},{"id":"https://openalex.org/keywords/server","display_name":"Server","score":0.6788727045059204},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6777860522270203},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.661433756351471},{"id":"https://openalex.org/keywords/online-algorithm","display_name":"Online algorithm","score":0.5701088309288025},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5585896372795105},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.539620578289032},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5270419716835022},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4956728219985962},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.4723314642906189},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4003016948699951},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.33358442783355713},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.28131383657455444},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.13558429479599},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.10551449656486511},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07341969013214111}],"concepts":[{"id":"https://openalex.org/C102408133","wikidata":"https://www.wikidata.org/wiki/Q5156350","display_name":"Competitive analysis","level":3,"score":0.7509779930114746},{"id":"https://openalex.org/C93996380","wikidata":"https://www.wikidata.org/wiki/Q44127","display_name":"Server","level":2,"score":0.6788727045059204},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6777860522270203},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.661433756351471},{"id":"https://openalex.org/C196921405","wikidata":"https://www.wikidata.org/wiki/Q786431","display_name":"Online algorithm","level":2,"score":0.5701088309288025},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5585896372795105},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.539620578289032},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5270419716835022},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4956728219985962},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.4723314642906189},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4003016948699951},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.33358442783355713},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.28131383657455444},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.13558429479599},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10551449656486511},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07341969013214111},{"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}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1145/3357713.3384306","is_oa":false,"landing_page_url":"https://doi.org/10.1145/3357713.3384306","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 52nd Annual ACM SIGACT Symposium on Theory of Computing","raw_type":"proceedings-article"},{"id":"pmh:oai:arXiv.org:1911.01592","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.01592","pdf_url":"https://arxiv.org/pdf/1911.01592","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":"pmh:cwi:oai:cwi.nl:30210","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/30210","pdf_url":"https://ir.cwi.nl/pub/30210/30210.pdf","source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"info:eu-repo/semantics/conferencepaper"},{"id":"mag:2985259739","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1911.01592","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":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"pmh:cwi:oai:cwi.nl:29379","is_oa":true,"landing_page_url":"https://ir.cwi.nl/pub/29379","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"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":"info:eu-repo/semantics/other"},{"id":"pmh:oai:ora.ox.ac.uk:uuid:d2e35f4b-253f-4de9-a722-66c135682049","is_oa":false,"landing_page_url":"https://ora.ox.ac.uk/objects/uuid:d2e35f4b-253f-4de9-a722-66c135682049","pdf_url":null,"source":{"id":"https://openalex.org/S4306402636","display_name":"Oxford University Research Archive (ORA) (University of Oxford)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I40120149","host_organization_name":"University of Oxford","host_organization_lineage":["https://openalex.org/I40120149"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Symplectic Elements","raw_type":"Conference item"},{"id":"doi:10.48550/arxiv.1911.01592","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1911.01592","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:1911.01592","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1911.01592","pdf_url":"https://arxiv.org/pdf/1911.01592","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/G4405413375","display_name":null,"funder_award_id":"639.023.812","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"},{"id":"https://openalex.org/G8333547667","display_name":null,"funder_award_id":"VICI grant 639.023.812","funder_id":"https://openalex.org/F4320321800","funder_display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek"}],"funders":[{"id":"https://openalex.org/F4320321800","display_name":"Nederlandse Organisatie voor Wetenschappelijk Onderzoek","ror":"https://ror.org/04jsz6e67"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W204261080","https://openalex.org/W1552828154","https://openalex.org/W1972868674","https://openalex.org/W1998843748","https://openalex.org/W2007840228","https://openalex.org/W2033156334","https://openalex.org/W2041645394","https://openalex.org/W2042789015","https://openalex.org/W2044156187","https://openalex.org/W2054033098","https://openalex.org/W2069255833","https://openalex.org/W2082099352","https://openalex.org/W2083392624","https://openalex.org/W2100311357","https://openalex.org/W2113184918","https://openalex.org/W2157211614","https://openalex.org/W2570619601","https://openalex.org/W2593235372","https://openalex.org/W2896230699","https://openalex.org/W2962973269","https://openalex.org/W2963064374","https://openalex.org/W2963331653","https://openalex.org/W3040305025","https://openalex.org/W3160943031"],"related_works":["https://openalex.org/W2988156420","https://openalex.org/W3196984656","https://openalex.org/W2053648879","https://openalex.org/W2767280224","https://openalex.org/W3116741339","https://openalex.org/W2950485803","https://openalex.org/W3008844640","https://openalex.org/W2969832362","https://openalex.org/W2775084241","https://openalex.org/W3168045097","https://openalex.org/W3115825379","https://openalex.org/W2794380282","https://openalex.org/W2963981375","https://openalex.org/W2974196491","https://openalex.org/W2953059252","https://openalex.org/W2952900072","https://openalex.org/W2952016169","https://openalex.org/W2979234330","https://openalex.org/W2183545472","https://openalex.org/W2609730020"],"abstract_inverted_index":{"We":[0,111],"study":[1],"the":[2,7,13,20,53,65,124,147,154],"resource":[3],"augmented":[4],"version":[5],"of":[6,56,88,149],"k-server":[8,14],"problem,":[9],"also":[10,145],"known":[11,51],"as":[12,132],"problem":[15,98,157],"against":[16],"weak":[17],"adversaries":[18],"or":[19],"(h,k)-server":[21],"problem.":[22],"In":[23],"this":[24,100,113],"setting,":[25],"an":[26,35],"online":[27],"algorithm":[28,37,152],"using":[29,38],"k":[30],"servers":[31],"is":[32,102,127],"compared":[33],"to":[34,69,81],"offline":[36],"h":[39,42],"servers,":[40],"where":[41],"\u2264":[43],"k.":[44],"For":[45],"uniform":[46],"metrics,":[47],"it":[48],"has":[49],"been":[50],"since":[52],"seminal":[54],"work":[55],"Sleator":[57],"and":[58,86,141],"Tarjan":[59],"(1985)":[60],"that":[61,123],"for":[62,99,138,153],"any":[63],"\u0454>0,":[64],"competitive":[66,125,151],"ratio":[67,126],"drops":[68],"a":[70,104,117,150],"constant":[71],"if":[72],"k=(1+\u0454)":[73],"\u00b7":[74],"h.":[75],"This":[76],"result":[77],"was":[78],"later":[79],"generalized":[80],"weighted":[82],"stars":[83],"(Young":[84],"1994)":[85],"trees":[87],"bounded":[89],"depth":[90],"(Bansal":[91],"et":[92],"al.":[93],"2017).":[94],"The":[95],"main":[96],"open":[97],"setting":[101],"whether":[103],"similar":[105],"phenomenon":[106],"occurs":[107],"on":[108,158],"general":[109,159],"metrics.":[110,160],"resolve":[112],"question":[114],"negatively.":[115],"With":[116],"simple":[118],"recursive":[119],"construction,":[120],"we":[121],"show":[122],"at":[128],"least":[129],"\u03a9(loglogh),":[130],"even":[131],"k\u2192\u221e.":[133],"Our":[134],"lower":[135],"bound":[136],"holds":[137],"both":[139],"deterministic":[140],"randomized":[142],"algorithms.":[143],"It":[144],"disproves":[146],"existence":[148],"infinite":[155],"server":[156]},"counts_by_year":[],"updated_date":"2026-05-31T08:46:17.908082","created_date":"2025-10-10T00:00:00"}
