{"id":"https://openalex.org/W3184010519","doi":"https://doi.org/10.1007/s00453-021-00856-1","title":"Encoding Two-Dimensional Range Top-k Queries","display_name":"Encoding Two-Dimensional Range Top-k Queries","publication_year":2021,"publication_date":"2021-07-27","ids":{"openalex":"https://openalex.org/W3184010519","doi":"https://doi.org/10.1007/s00453-021-00856-1","mag":"3184010519"},"language":"en","primary_location":{"id":"doi:10.1007/s00453-021-00856-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00856-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00856-1.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":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00856-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5076160619","display_name":"Seungbum Jo","orcid":"https://orcid.org/0000-0002-8644-3691"},"institutions":[{"id":"https://openalex.org/I196345858","display_name":"Chungnam National University","ror":"https://ror.org/0227as991","country_code":"KR","type":"education","lineage":["https://openalex.org/I196345858"]}],"countries":["KR"],"is_corresponding":false,"raw_author_name":"Seungbum Jo","raw_affiliation_strings":["Chungnam National University, Daejeon, South Korea"],"affiliations":[{"raw_affiliation_string":"Chungnam National University, Daejeon, South Korea","institution_ids":["https://openalex.org/I196345858"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5037838444","display_name":"Rahul Lingala","orcid":null},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Rahul Lingala","raw_affiliation_strings":["IIT Bombay, Mumbai, India"],"affiliations":[{"raw_affiliation_string":"IIT Bombay, Mumbai, India","institution_ids":["https://openalex.org/I162827531"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079696982","display_name":"Srinivasa Rao Satti","orcid":"https://orcid.org/0000-0003-0636-9880"},"institutions":[{"id":"https://openalex.org/I204778367","display_name":"Norwegian University of Science and Technology","ror":"https://ror.org/05xg72x27","country_code":"NO","type":"education","lineage":["https://openalex.org/I204778367"]}],"countries":["NO"],"is_corresponding":true,"raw_author_name":"Srinivasa Rao Satti","raw_affiliation_strings":["Norwegian University of Science and Technology, Trondheim, Norway"],"affiliations":[{"raw_affiliation_string":"Norwegian University of Science and Technology, Trondheim, Norway","institution_ids":["https://openalex.org/I204778367"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5079696982"],"corresponding_institution_ids":["https://openalex.org/I204778367"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":{"value":2290,"currency":"EUR","value_usd":2890},"fwci":0.1398,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.54685045,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"83","issue":"11","first_page":"3379","last_page":"3402"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11269","display_name":"Algorithms and Data Compression","score":1.0,"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":1.0,"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/T12029","display_name":"DNA and Biological Computing","score":0.9988999962806702,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}},{"id":"https://openalex.org/T11321","display_name":"Error Correcting Code Techniques","score":0.9977999925613403,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.6074471473693848},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4176061451435089}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.6074471473693848},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4176061451435089}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00453-021-00856-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00856-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00856-1.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"}],"best_oa_location":{"id":"doi:10.1007/s00453-021-00856-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00453-021-00856-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00453-021-00856-1.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":[{"id":"https://openalex.org/G3034753964","display_name":null,"funder_award_id":"grant","funder_id":"https://openalex.org/F4320320671","funder_display_name":"National Research Foundation"},{"id":"https://openalex.org/G342704958","display_name":null,"funder_award_id":"funded","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G3942910960","display_name":null,"funder_award_id":"(NRF) grant","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G4579772530","display_name":null,"funder_award_id":"NRF-2020R1G1A1101477","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"},{"id":"https://openalex.org/G7434364429","display_name":null,"funder_award_id":"NRF-2020R1G1A1101477","funder_id":"https://openalex.org/F4320328359","funder_display_name":"Ministry of Science and ICT, South Korea"},{"id":"https://openalex.org/G982292920","display_name":null,"funder_award_id":"NRF-20","funder_id":"https://openalex.org/F4320322120","funder_display_name":"National Research Foundation of Korea"}],"funders":[{"id":"https://openalex.org/F4320311040","display_name":"Norges Teknisk-Naturvitenskapelige Universitet","ror":"https://ror.org/05xg72x27"},{"id":"https://openalex.org/F4320320671","display_name":"National Research Foundation","ror":"https://ror.org/05s0g1g46"},{"id":"https://openalex.org/F4320322120","display_name":"National Research Foundation of Korea","ror":"https://ror.org/013aysd81"},{"id":"https://openalex.org/F4320328359","display_name":"Ministry of Science and ICT, South Korea","ror":"https://ror.org/01wpjm123"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3184010519.pdf","grobid_xml":"https://content.openalex.org/works/W3184010519.grobid-xml"},"referenced_works_count":19,"referenced_works":["https://openalex.org/W157209844","https://openalex.org/W168930558","https://openalex.org/W180217369","https://openalex.org/W1488801354","https://openalex.org/W1571941879","https://openalex.org/W2021693648","https://openalex.org/W2071469476","https://openalex.org/W2088521838","https://openalex.org/W2092901467","https://openalex.org/W2093788424","https://openalex.org/W2111340560","https://openalex.org/W2112390795","https://openalex.org/W2135993142","https://openalex.org/W2203699599","https://openalex.org/W2425200475","https://openalex.org/W2592486490","https://openalex.org/W2891610324","https://openalex.org/W2950460539","https://openalex.org/W4246523566"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W2051487156","https://openalex.org/W2073681303","https://openalex.org/W2390279801","https://openalex.org/W2358668433","https://openalex.org/W2376932109","https://openalex.org/W2001405890","https://openalex.org/W2382290278","https://openalex.org/W2478288626","https://openalex.org/W2350741829"],"abstract_inverted_index":{"Abstract":[0],"We":[1],"consider":[2],"the":[3,38,148,214,269,274],"problem":[4],"of":[5,218],"encoding":[6,78,144,244],"two-dimensional":[7],"arrays,":[8],"whose":[9,96],"elements":[10],"come":[11],"from":[12],"a":[13,126],"total":[14],"order,":[15],"for":[16,79,123,145,147,273,283],"answering":[17,80,146,284],"$${\\text{Top-}}{k}$$":[18],"<mml:math":[19,52,65,85,107,129,154,171,229,253,291],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">":[20,53,66,86,108,130,155,172,230,254,292],"<mml:mrow>":[21,54,67,87,109,131,156,173,179,194,203,231,255,293],"<mml:mtext>Top-</mml:mtext>":[22],"<mml:mi>k</mml:mi>":[23,90,159,181,296],"</mml:mrow>":[24,58,71,93,120,137,162,186,200,207,209,239,263,299],"</mml:math>":[25,59,72,94,121,138,163,210,240,264,300],"queries.":[26],"The":[27],"aim":[28],"is":[29,99],"to":[30,37,101,268],"obtain":[31],"encodings":[32,282],"that":[33,165,304],"use":[34],"space":[35,247],"close":[36],"information-theoretic":[39],"lower":[40,279],"bound,":[41],"which":[42,212,302],"can":[43],"be":[44],"constructed":[45],"efficiently.":[46],"For":[47],"an":[48,77,143],"$$m":[49,62,249],"\\times":[50],"n$$":[51,64,128],"<mml:mi>m</mml:mi>":[55,68,113,175,193,196,235,256],"<mml:mo>\u00d7</mml:mo>":[56],"<mml:mi>n</mml:mi>":[57,70,136,185,187,192,205,234,237,261],"array,":[60],"with":[61,225],"\\le":[63,125,127],"<mml:mo>\u2264</mml:mo>":[69,133,135],",":[73,122],"we":[74,141,276],"first":[75],"propose":[76,142],"1-sided":[81],"$${\\textsf":[82,151,288],"{Top}}{\\text":[83,152,289],"{-}}k{}$$":[84,153,290],"<mml:mi>Top</mml:mi>":[88,157,294],"<mml:mtext>-</mml:mtext>":[89,158,295],"<mml:mrow":[91,160,297],"/>":[92,161,298],"queries,":[95,301],"query":[97],"range":[98],"restricted":[100],"$$[1":[102],"\\dots":[103,105],"m][1":[104],"a]$$":[106],"<mml:mo>[</mml:mo>":[110,115],"<mml:mn>1</mml:mn>":[111,116,132,183,198],"<mml:mo>\u22ef</mml:mo>":[112,117],"<mml:mo>]</mml:mo>":[114,119],"<mml:mi>a</mml:mi>":[118,134],"$$1":[124],".":[139,265],"Next,":[140],"general":[149],"(4-sided)":[150],"queries":[164],"takes":[166,245],"$$(m\\lg":[167],"{{(k+1)n":[168],"\\atopwithdelims":[169],"()n}}+2nm(m-1)+o(n))$$":[170],"<mml:mo>(</mml:mo>":[174,180,195,204,233,259],"<mml:mo>lg</mml:mo>":[176,236,260],"<mml:mfenced>":[177],"<mml:mfrac>":[178],"<mml:mo>+</mml:mo>":[182,190,201],"<mml:mo>)</mml:mo>":[184,199,206,208,238,262],"</mml:mfrac>":[188],"</mml:mfenced>":[189],"<mml:mn>2</mml:mn>":[191],"<mml:mo>-</mml:mo>":[197],"<mml:mi>o</mml:mi>":[202,258],"bits,":[211],"generalizes":[213],"joint":[215],"Cartesian":[216],"tree":[217],"Golin":[219],"et":[220],"al.":[221],"[TCS":[222],"2016].":[223],"Compared":[224],"trivial":[226],"$$O(nm\\lg":[227],"{n})$$":[228,252],"<mml:mi>O</mml:mi>":[232],"-bit":[241],"encoding,":[242],"our":[243,305],"less":[246],"when":[248],"=":[250],"o(\\lg":[251],"<mml:mo>=</mml:mo>":[257],"In":[266],"addition":[267],"upper":[270,306],"bound":[271,307],"results":[272,308],"encodings,":[275],"also":[277],"give":[278],"bounds":[280],"on":[281],"1":[285],"and":[286],"4-sided":[287],"show":[303],"are":[309],"almost":[310],"optimal.":[311]},"counts_by_year":[{"year":2022,"cited_by_count":1}],"updated_date":"2026-03-14T08:43:22.919905","created_date":"2025-10-10T00:00:00"}
