{"id":"https://openalex.org/W2025341672","doi":"https://doi.org/10.1137/s0097539794277718","title":"Randomized Data Structures for the Dynamic Closest-Pair Problem","display_name":"Randomized Data Structures for the Dynamic Closest-Pair Problem","publication_year":1998,"publication_date":"1998-08-01","ids":{"openalex":"https://openalex.org/W2025341672","doi":"https://doi.org/10.1137/s0097539794277718","mag":"2025341672"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539794277718","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539794277718","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":true,"oa_status":"green","oa_url":"http://hdl.handle.net/11858/00-001M-0000-0014-B3F0-3","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5051953152","display_name":"Mordecai J. Golin","orcid":"https://orcid.org/0000-0002-1260-6574"},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Mordecai Golin","raw_affiliation_strings":["Algorithms and Complexity, MPI for Informatics, Max Planck Society"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Algorithms and Complexity, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5001025361","display_name":"Rajeev Raman","orcid":"https://orcid.org/0000-0001-9942-8290"},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Rajeev Raman","raw_affiliation_strings":["Algorithms and Complexity, MPI for Informatics, Max Planck Society"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Algorithms and Complexity, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101759540","display_name":"Christian Schwarz","orcid":"https://orcid.org/0000-0003-2567-4637"},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christian Schwarz","raw_affiliation_strings":["Algorithms and Complexity, MPI for Informatics, Max Planck Society"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Algorithms and Complexity, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108374265","display_name":"Michiel Smid","orcid":null},"institutions":[{"id":"https://openalex.org/I149899117","display_name":"Max Planck Society","ror":"https://ror.org/01hhn8329","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I149899117"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michiel Smid","raw_affiliation_strings":["Algorithms and Complexity, MPI for Informatics, Max Planck Society"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Algorithms and Complexity, MPI for Informatics, Max Planck Society","institution_ids":["https://openalex.org/I149899117"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I149899117"],"apc_list":null,"apc_paid":null,"fwci":2.731,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.91074726,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"27","issue":"4","first_page":"1036","last_page":"1072"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T11269","display_name":"Algorithms and Data Compression","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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":0.9994999766349792,"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":0.9988999962806702,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.6581214666366577},{"id":"https://openalex.org/keywords/randomized-algorithm","display_name":"Randomized algorithm","score":0.5837204456329346},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5514878630638123},{"id":"https://openalex.org/keywords/deterministic-algorithm","display_name":"Deterministic algorithm","score":0.5406365990638733},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5127125978469849},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.507464587688446},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.49770262837409973},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.471972793340683},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.47051921486854553},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4312092065811157},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.42742544412612915},{"id":"https://openalex.org/keywords/amortized-analysis","display_name":"Amortized analysis","score":0.4198165833950043},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36083388328552246},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3247920870780945}],"concepts":[{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.6581214666366577},{"id":"https://openalex.org/C128669082","wikidata":"https://www.wikidata.org/wiki/Q583461","display_name":"Randomized algorithm","level":2,"score":0.5837204456329346},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5514878630638123},{"id":"https://openalex.org/C13533509","wikidata":"https://www.wikidata.org/wiki/Q1064349","display_name":"Deterministic algorithm","level":2,"score":0.5406365990638733},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5127125978469849},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.507464587688446},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.49770262837409973},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.471972793340683},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.47051921486854553},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4312092065811157},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.42742544412612915},{"id":"https://openalex.org/C142417499","wikidata":"https://www.wikidata.org/wiki/Q331716","display_name":"Amortized analysis","level":3,"score":0.4198165833950043},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36083388328552246},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3247920870780945},{"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0}],"mesh":[],"locations_count":7,"locations":[{"id":"doi:10.1137/s0097539794277718","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539794277718","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:10.1.1.38.7185","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.38.7185","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.mpi-sb.mpg.de/pub/papers/reports/MPI-I-93-102.ps.gz","raw_type":"text"},{"id":"pmh:oai:edoc.mpg.de:518010","is_oa":false,"landing_page_url":"http://edoc.mpg.de/518010","pdf_url":null,"source":{"id":"https://openalex.org/S4406922265","display_name":"Max Planck Institute for Plasma Physics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Computing, v.27, 1036-1072 (1998)","raw_type":"Article"},{"id":"pmh:oai:pure.mpg.de:item_1331366","is_oa":false,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-000F-37D2-8","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"SIAM Journal on Computing","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.mpg.de:item_1834673","is_oa":true,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0014-B3F0-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"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":"Research Report / Max-Planck-Institut f\u00fcr Informatik","raw_type":"info:eu-repo/semantics/report"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-57224","is_oa":false,"landing_page_url":"http://repository.hkust.edu.hk/ir/Record/1783.1-57224","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Conference paper"},{"id":"pmh:oai:repository.ust.hk:1783.1-1429","is_oa":false,"landing_page_url":"http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=LinksAMR&SrcApp=PARTNER_APP&DestLinkType=FullRecord&DestApp=WOS&KeyUT=000073675700007","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:pure.mpg.de:item_1834673","is_oa":true,"landing_page_url":"http://hdl.handle.net/11858/00-001M-0000-0014-B3F0-3","pdf_url":null,"source":{"id":"https://openalex.org/S4306400654","display_name":"MPG.PuRe (Max Planck Society)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I149899117","host_organization_name":"Max Planck Society","host_organization_lineage":["https://openalex.org/I149899117"],"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":"Research Report / Max-Planck-Institut f\u00fcr Informatik","raw_type":"info:eu-repo/semantics/report"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W2013729760","https://openalex.org/W2035890032","https://openalex.org/W2051390146","https://openalex.org/W2052207834","https://openalex.org/W2054788982","https://openalex.org/W2065967395","https://openalex.org/W2077229436","https://openalex.org/W2109157304","https://openalex.org/W2129335013","https://openalex.org/W2888871578","https://openalex.org/W2999274412","https://openalex.org/W4231502736"],"related_works":["https://openalex.org/W2279830512","https://openalex.org/W3046990805","https://openalex.org/W3097369619","https://openalex.org/W4287691960","https://openalex.org/W2963181990","https://openalex.org/W2007715402","https://openalex.org/W2913663107","https://openalex.org/W2960354271","https://openalex.org/W2899261484","https://openalex.org/W2004524662"],"abstract_inverted_index":{"We":[0],"describe":[1],"a":[2,24,43],"new":[3],"randomized":[4],"data":[5,18,65,104],"structure,":[6],"the":[7,12,20,47,55,64,73,96,118,130,144,155,160],"sparse":[8],"partition,":[9],"for":[10,32,94,136],"solving":[11,95],"dynamic":[13],"closest-pair":[14],"problem.":[15],"Using":[16],"this":[17,124],"structure":[19,66,105],"closest":[21],"pair":[22],"of":[23,26,146],"set":[25,74],"n":[27],"points":[28,48],"in":[29,39,51,75,98,111,117,151],"D-dimensional":[30],"space,":[31],"any":[33,91,152],"fixed":[34],"D,":[35],"can":[36,106],"be":[37,107],"found":[38],"constant":[40],"time.":[41],"If":[42],"frame":[44],"containing":[45],"all":[46],"is":[49,58,87,126,148],"known":[50,133],"advance,":[52],"and":[53,70,80],"if":[54],"floor":[56],"function":[57],"available":[59],"at":[60],"unit":[61],"cost,":[62],"then":[63],"supports":[67],"insertions":[68],"into":[69],"deletions":[71],"from":[72],"expected":[76,82,113],"O(log":[77],"n)":[78],"time":[79,114],"requires":[81],"O(n)":[83],"space.":[84],"This":[85],"method":[86],"more":[88,127],"efficient":[89,128],"than":[90,129],"deterministic":[92,134],"algorithm":[93,135],"problem":[97],"dimension":[99],"D":[100,137],">":[101,138],"1.":[102],"The":[103],"modified":[108],"to":[109],"run":[110],"O(log2n)":[112],"per":[115],"update":[116],"algebraic":[119],"computation":[120],"tree":[121],"model.":[122],"Even":[123],"version":[125],"best":[131],"currently":[132],"2.":[139],"Both":[140],"results":[141],"assume":[142],"that":[143],"sequence":[145],"updates":[147],"not":[149],"determined":[150],"way":[153],"by":[154,159],"random":[156],"choices":[157],"made":[158],"algorithm.":[161]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}