{"id":"https://openalex.org/W2963834565","doi":"https://doi.org/10.1137/09075336x","title":"Unifying the Landscape of Cell-Probe Lower Bounds","display_name":"Unifying the Landscape of Cell-Probe Lower Bounds","publication_year":2011,"publication_date":"2011-01-01","ids":{"openalex":"https://openalex.org/W2963834565","doi":"https://doi.org/10.1137/09075336x","mag":"2963834565"},"language":"en","primary_location":{"id":"doi:10.1137/09075336x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/09075336x","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/A5014255854","display_name":"Mihai Ptra\u015fcu","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mihai Ptra\u015fcu","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014255854"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":10.6635,"has_fulltext":false,"cited_by_count":120,"citation_normalized_percentile":{"value":0.98902707,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"40","issue":"3","first_page":"827","last_page":"847"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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"}},"topics":[{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9998999834060669,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1704","display_name":"Computer Graphics and Computer-Aided Design"},"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":0.9983999729156494,"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/reachability","display_name":"Reachability","score":0.7029300928115845},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6920575499534607},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6741856336593628},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6482027769088745},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.5285567045211792},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.5107343196868896},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.5014863014221191},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.45658817887306213},{"id":"https://openalex.org/keywords/linear-space","display_name":"Linear space","score":0.43529239296913147},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.361941397190094},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16578173637390137},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.16034352779388428},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11910364031791687},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09224563837051392}],"concepts":[{"id":"https://openalex.org/C136643341","wikidata":"https://www.wikidata.org/wiki/Q1361526","display_name":"Reachability","level":2,"score":0.7029300928115845},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6920575499534607},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6741856336593628},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6482027769088745},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.5285567045211792},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.5107343196868896},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.5014863014221191},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.45658817887306213},{"id":"https://openalex.org/C176370821","wikidata":"https://www.wikidata.org/wiki/Q1826459","display_name":"Linear space","level":2,"score":0.43529239296913147},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.361941397190094},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16578173637390137},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.16034352779388428},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11910364031791687},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09224563837051392},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/09075336x","is_oa":false,"landing_page_url":"https://doi.org/10.1137/09075336x","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"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W189738013","https://openalex.org/W1963524245","https://openalex.org/W1975663164","https://openalex.org/W1980223785","https://openalex.org/W1985177045","https://openalex.org/W1986633843","https://openalex.org/W1997633753","https://openalex.org/W2038255135","https://openalex.org/W2039831869","https://openalex.org/W2055456564","https://openalex.org/W2070486524","https://openalex.org/W2078423836","https://openalex.org/W2085933841","https://openalex.org/W2090747326","https://openalex.org/W2107917944","https://openalex.org/W2136797686","https://openalex.org/W2155631901","https://openalex.org/W2165461157","https://openalex.org/W2266371753","https://openalex.org/W3023640601","https://openalex.org/W4212978476"],"related_works":["https://openalex.org/W2127267268","https://openalex.org/W2136512912","https://openalex.org/W2067910792","https://openalex.org/W2156446763","https://openalex.org/W2150194458","https://openalex.org/W2143461633","https://openalex.org/W2889071233","https://openalex.org/W4321471459","https://openalex.org/W4221156924","https://openalex.org/W2032966476"],"abstract_inverted_index":{"We":[0],"show":[1,40],"that":[2,149],"a":[3,70,90,120,157],"large":[4,41],"fraction":[5],"of":[6,22,127],"the":[7,19,36,50,55,78,87,98,128,147,163,173,181],"data-structure":[8],"lower":[9,29,43,160,175,187],"bounds":[10,30,82,188],"known":[11],"today":[12],"in":[13,125,142],"fact":[14],"follow":[15],"by":[16],"reduction":[17],"from":[18],"communication":[20],"complexity":[21],"lopsided":[23,190],"(asymmetric)":[24],"set":[25,191],"disjointness.":[26,192],"This":[27],"includes":[28],"for":[31,58,69,108,162,167,177,189],"(i)":[32,102],"high-dimensional":[33],"problems,":[34,48,64],"where":[35,49,65],"goal":[37,51],"is":[38,52,116],"to":[39,53],"space":[42,59,113,159],"bounds;":[44],"(ii)":[45,156],"constant-dimensional":[46],"geometric":[47],"bound":[54,107,161,176],"query":[56,73,169],"time":[57],"$O(n\\cdot\\mathrm{polylog}n)$;":[60],"and":[61,74,171],"(iii)":[62,172],"dynamic":[63],"we":[66,183],"are":[67,83],"looking":[68],"trade-off":[71],"between":[72],"update":[75],"time.":[76],"(In":[77],"last":[79],"case,":[80],"our":[81],"slightly":[84],"weaker":[85],"than":[86],"originals,":[88],"losing":[89],"$\\lg\\lg":[91],"n$":[92],"factor.)":[93],"Our":[94],"reductions":[95],"also":[96,153],"imply":[97],"following":[99],"new":[100],"results:":[101],"an":[103],"$\\Omega(\\lg":[104],"n/\\lg\\lg":[105],"n)$":[106,144],"four-dimensional":[109],"range":[110],"reporting,":[111],"given":[112],"$O(n\\cdot\\mathrm{polylog}n)$":[114],"(this":[115],"quite":[117],"timely,":[118],"since":[119],"recent":[121],"result":[122],"[Y.":[123],"Nekrich,":[124],"Proceedings":[126],"23rd":[129],"ACM":[130],"Symposium":[131],"on":[132],"Computational":[133],"Geometry":[134],"(SoCG),":[135],"2007,":[136],"pp.":[137],"344\u2013353]":[138],"solved":[139],"three-dimensional":[140],"reporting":[141],"$O(\\lg^2\\lg":[143],"time,":[145],"raising":[146],"prospect":[148],"higher":[150],"dimensions":[151],"could":[152],"be":[154],"easy);":[155],"tight":[158],"partial":[164],"match":[165],"problem,":[166],"constant":[168],"time;":[170],"first":[174],"reachability":[178],"oracles.":[179],"In":[180],"process,":[182],"prove":[184],"optimal":[185],"randomized":[186]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":5},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":29},{"year":2019,"cited_by_count":7},{"year":2018,"cited_by_count":7},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":8},{"year":2015,"cited_by_count":10},{"year":2014,"cited_by_count":11},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":8}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
