{"id":"https://openalex.org/W2052373622","doi":"https://doi.org/10.1145/1328911.1328921","title":"Approximate distance oracles for geometric spanners","display_name":"Approximate distance oracles for geometric spanners","publication_year":2008,"publication_date":"2008-03-01","ids":{"openalex":"https://openalex.org/W2052373622","doi":"https://doi.org/10.1145/1328911.1328921","mag":"2052373622"},"language":"en","primary_location":{"id":"doi:10.1145/1328911.1328921","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1328911.1328921","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","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/A5087003217","display_name":"Joachim Gudmundsson","orcid":"https://orcid.org/0000-0002-6778-7990"},"institutions":[{"id":"https://openalex.org/I42894916","display_name":"Data61","ror":"https://ror.org/03q397159","country_code":"AU","type":"other","lineage":["https://openalex.org/I1292875679","https://openalex.org/I2801453606","https://openalex.org/I42894916","https://openalex.org/I4387156119"]}],"countries":["AU"],"is_corresponding":false,"raw_author_name":"Joachim Gudmundsson","raw_affiliation_strings":["National ICT Australia Ltd., Eveleigh NSW, Australia"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"National ICT Australia Ltd., Eveleigh NSW, Australia","institution_ids":["https://openalex.org/I42894916"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5005407145","display_name":"Christos Levcopoulos","orcid":"https://orcid.org/0000-0003-0983-7862"},"institutions":[{"id":"https://openalex.org/I187531555","display_name":"Lund University","ror":"https://ror.org/012a77v79","country_code":"SE","type":"education","lineage":["https://openalex.org/I187531555"]}],"countries":["SE"],"is_corresponding":false,"raw_author_name":"Christos Levcopoulos","raw_affiliation_strings":["Lund University, Lund, Sweden"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Lund University, Lund, Sweden","institution_ids":["https://openalex.org/I187531555"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5068890173","display_name":"Giri Narasimhan","orcid":"https://orcid.org/0000-0003-0535-4871"},"institutions":[{"id":"https://openalex.org/I19700959","display_name":"Florida International University","ror":"https://ror.org/02gz6gg07","country_code":"US","type":"education","lineage":["https://openalex.org/I19700959"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Giri Narasimhan","raw_affiliation_strings":["Florida International University, Miami, FL"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Florida International University, Miami, FL","institution_ids":["https://openalex.org/I19700959"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108374265","display_name":"Michiel Smid","orcid":null},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Michiel Smid","raw_affiliation_strings":["Carleton University, Ottawa, Canada","Carleton University / Ottawa / Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Carleton University, Ottawa, Canada","institution_ids":["https://openalex.org/I67031392"]},{"raw_affiliation_string":"Carleton University / Ottawa / Canada","institution_ids":["https://openalex.org/I67031392"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":8.8968,"has_fulltext":false,"cited_by_count":41,"citation_normalized_percentile":{"value":0.9684719,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"4","issue":"1","first_page":"1","last_page":"34"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"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"}},"topics":[{"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/T11106","display_name":"Data Management and Algorithms","score":0.9872999787330627,"subfield":{"id":"https://openalex.org/subfields/1711","display_name":"Signal Processing"},"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/T12546","display_name":"Smart Parking Systems Research","score":0.986299991607666,"subfield":{"id":"https://openalex.org/subfields/2215","display_name":"Building and Construction"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6621046662330627},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6514819860458374},{"id":"https://openalex.org/keywords/shortest-path-problem","display_name":"Shortest path problem","score":0.6332902312278748},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5959482192993164},{"id":"https://openalex.org/keywords/data-structure","display_name":"Data structure","score":0.5800644755363464},{"id":"https://openalex.org/keywords/euclidean-space","display_name":"Euclidean space","score":0.47189080715179443},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.4529312252998352},{"id":"https://openalex.org/keywords/distance","display_name":"Distance","score":0.4436025619506836},{"id":"https://openalex.org/keywords/oracle","display_name":"Oracle","score":0.43890661001205444},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.43416115641593933},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4312407970428467},{"id":"https://openalex.org/keywords/dilation","display_name":"Dilation (metric space)","score":0.42804521322250366},{"id":"https://openalex.org/keywords/computational-geometry","display_name":"Computational geometry","score":0.4117741286754608},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.3701598048210144},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.20103991031646729},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.18020567297935486}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6621046662330627},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6514819860458374},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.6332902312278748},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5959482192993164},{"id":"https://openalex.org/C162319229","wikidata":"https://www.wikidata.org/wiki/Q175263","display_name":"Data structure","level":2,"score":0.5800644755363464},{"id":"https://openalex.org/C186450821","wikidata":"https://www.wikidata.org/wiki/Q17295","display_name":"Euclidean space","level":2,"score":0.47189080715179443},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.4529312252998352},{"id":"https://openalex.org/C54385418","wikidata":"https://www.wikidata.org/wiki/Q2742711","display_name":"Distance","level":4,"score":0.4436025619506836},{"id":"https://openalex.org/C55166926","wikidata":"https://www.wikidata.org/wiki/Q2892946","display_name":"Oracle","level":2,"score":0.43890661001205444},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.43416115641593933},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4312407970428467},{"id":"https://openalex.org/C2780757906","wikidata":"https://www.wikidata.org/wiki/Q5276676","display_name":"Dilation (metric space)","level":2,"score":0.42804521322250366},{"id":"https://openalex.org/C29123130","wikidata":"https://www.wikidata.org/wiki/Q874709","display_name":"Computational geometry","level":2,"score":0.4117741286754608},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.3701598048210144},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.20103991031646729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.18020567297935486},{"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/C115903868","wikidata":"https://www.wikidata.org/wiki/Q80993","display_name":"Software engineering","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1145/1328911.1328921","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1328911.1328921","pdf_url":null,"source":{"id":"https://openalex.org/S137348503","display_name":"ACM Transactions on Algorithms","issn_l":"1549-6325","issn":["1549-6325","1549-6333"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319798","host_organization_name":"Association for Computing Machinery","host_organization_lineage":["https://openalex.org/P4310319798"],"host_organization_lineage_names":["Association for Computing Machinery"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"ACM Transactions on Algorithms","raw_type":"journal-article"},{"id":"pmh:oai:lup.lub.lu.se:acd2dec5-1ee2-44fa-bc99-bab2723cb712","is_oa":false,"landing_page_url":"https://lup.lub.lu.se/record/1428219","pdf_url":null,"source":{"id":"https://openalex.org/S4306400536","display_name":"Lund University Publications (Lund University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I187531555","host_organization_name":"Lund University","host_organization_lineage":["https://openalex.org/I187531555"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN: 1549-6333","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W125464309","https://openalex.org/W131463664","https://openalex.org/W178414959","https://openalex.org/W938539187","https://openalex.org/W1491725382","https://openalex.org/W1507638461","https://openalex.org/W1530239281","https://openalex.org/W1557739567","https://openalex.org/W1559701472","https://openalex.org/W1561240874","https://openalex.org/W1575027696","https://openalex.org/W1768571955","https://openalex.org/W1975248037","https://openalex.org/W1979838628","https://openalex.org/W1988067232","https://openalex.org/W1990061958","https://openalex.org/W1992176147","https://openalex.org/W1998932824","https://openalex.org/W2001609476","https://openalex.org/W2004476837","https://openalex.org/W2005314985","https://openalex.org/W2011999472","https://openalex.org/W2012669981","https://openalex.org/W2024409132","https://openalex.org/W2028430839","https://openalex.org/W2029668981","https://openalex.org/W2036114412","https://openalex.org/W2038699153","https://openalex.org/W2046946959","https://openalex.org/W2048902080","https://openalex.org/W2054011861","https://openalex.org/W2058510050","https://openalex.org/W2075927382","https://openalex.org/W2076014803","https://openalex.org/W2087027878","https://openalex.org/W2093455937","https://openalex.org/W2096304547","https://openalex.org/W2097747425","https://openalex.org/W2106110423","https://openalex.org/W2107704676","https://openalex.org/W2113604744","https://openalex.org/W2114493937","https://openalex.org/W2134422883","https://openalex.org/W2137120608","https://openalex.org/W2139230981","https://openalex.org/W2147219339","https://openalex.org/W2148073303","https://openalex.org/W2156047991","https://openalex.org/W2165142526","https://openalex.org/W2167427782","https://openalex.org/W2168583884","https://openalex.org/W2171554063","https://openalex.org/W2561675875","https://openalex.org/W2610179052","https://openalex.org/W6624626827","https://openalex.org/W6638828565","https://openalex.org/W6680713955","https://openalex.org/W6684678277"],"related_works":["https://openalex.org/W3032870653","https://openalex.org/W3149063625","https://openalex.org/W2357644463","https://openalex.org/W1996697202","https://openalex.org/W4388031360","https://openalex.org/W94062305","https://openalex.org/W4287775348","https://openalex.org/W2237480599","https://openalex.org/W2018146256","https://openalex.org/W2094515718"],"abstract_inverted_index":{"Given":[0],"an":[1,88],"arbitrary":[2],"real":[3],"constant":[4,27,44,82,125,163],"\u03b5":[5],">":[6],"0,":[7],"and":[8,26,84,135],"a":[9,33,114],"geometric":[10,144,166],"graph":[11],"G":[12],"in":[13,43,52,81,113,124,162,183],"d":[14],"-dimensional":[15],"Euclidean":[16],"space":[17],"with":[18,118,169],"n":[19,23,55,57,63,65,173,188,190,196,198],"points,":[20],"O":[21,53,61,184,194],"(":[22,54,62,185,195],")":[24,58,66,174,191,199],"edges,":[25],"dilation,":[28],"our":[29],"main":[30,153],"result":[31,154],"is":[32,95],"data":[34,47,72,93,178],"structure":[35,48,73,94,179],"that":[36,74,107],"answers":[37,75],"(1":[38,76,157],"+":[39,77,158,187],"\u03b5)-approximate":[40,78,159],"shortest-path-length":[41,160],"queries":[42,80,110,161],"time.":[45,126],"The":[46,92,176],"can":[49,121,180],"be":[50,122,181],"constructed":[51,182],"log":[56,64,189,197],"time":[59,164,192],"using":[60,193],"space.":[67,200],"This":[68],"represents":[69],"the":[70,136,140,152],"first":[71],"shortest-path":[79,109],"time,":[83],"hence":[85],"functions":[86],"as":[87],"approximate":[89,108,141],"distance":[90],"oracle.":[91],"also":[96,105],"applied":[97],"to":[98,150,155],"several":[99],"other":[100],"problems.":[101],"In":[102],"particular,":[103],"we":[104,147],"show":[106,148],"between":[111],"vertices":[112],"planar":[115],"polygonal":[116],"domain":[117],"\u201crounded\u201d":[119],"obstacles":[120],"answered":[123],"Other":[127],"applications":[128],"include":[129],"query":[130],"versions":[131],"of":[132,139,143],"closest-pair":[133],"problems,":[134],"efficient":[137],"computation":[138],"dilations":[142],"graphs.":[145],"Finally,":[146],"how":[149],"extend":[151],"answer":[156],"for":[165],"spanner":[167],"graphs":[168],"m":[170,186],"=":[171],"\u03c9(":[172],"edges.":[175],"resulting":[177]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":4},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":3}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}