{"id":"https://openalex.org/W2062766966","doi":"https://doi.org/10.1016/0304-3975(93)90024-n","title":"On the randomized construction of the Delaunay tree","display_name":"On the randomized construction of the Delaunay tree","publication_year":1993,"publication_date":"1993-05-01","ids":{"openalex":"https://openalex.org/W2062766966","doi":"https://doi.org/10.1016/0304-3975(93)90024-n","mag":"2062766966"},"language":"en","primary_location":{"id":"doi:10.1016/0304-3975(93)90024-n","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(93)90024-n","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/inria-00075419","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5105370783","display_name":"Jean\u2010Daniel Boissonnat","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115519","display_name":"Centre de Recherche en Informatique","ror":"https://ror.org/020cdve92","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4210091621","https://openalex.org/I4210115519","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Jean-Daniel Boissonnat","raw_affiliation_strings":["Institut National de Recherche en Informatique et Automatique, 2004 Route des Lucioles, B.P. 109, 06561 Valbonne Cedex, France"],"affiliations":[{"raw_affiliation_string":"Institut National de Recherche en Informatique et Automatique, 2004 Route des Lucioles, B.P. 109, 06561 Valbonne Cedex, France","institution_ids":["https://openalex.org/I4210115519"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033226902","display_name":"Monique Teillaud","orcid":null},"institutions":[{"id":"https://openalex.org/I4210115519","display_name":"Centre de Recherche en Informatique","ror":"https://ror.org/020cdve92","country_code":"FR","type":"facility","lineage":["https://openalex.org/I190752583","https://openalex.org/I2746051580","https://openalex.org/I4210091621","https://openalex.org/I4210115519","https://openalex.org/I70768539"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Monique Teillaud","raw_affiliation_strings":["Institut National de Recherche en Informatique et Automatique, 2004 Route des Lucioles, B.P. 109, 06561 Valbonne Cedex, France"],"affiliations":[{"raw_affiliation_string":"Institut National de Recherche en Informatique et Automatique, 2004 Route des Lucioles, B.P. 109, 06561 Valbonne Cedex, France","institution_ids":["https://openalex.org/I4210115519"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5105370783"],"corresponding_institution_ids":["https://openalex.org/I4210115519"],"apc_list":{"value":2690,"currency":"USD","value_usd":2690},"apc_paid":null,"fwci":5.0725,"has_fulltext":false,"cited_by_count":87,"citation_normalized_percentile":{"value":0.95194346,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"112","issue":"2","first_page":"339","last_page":"354"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9979000091552734,"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/T11046","display_name":"Geotechnical Engineering and Analysis","score":0.9623000025749207,"subfield":{"id":"https://openalex.org/subfields/2213","display_name":"Safety, Risk, Reliability and Quality"},"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/delaunay-triangulation","display_name":"Delaunay triangulation","score":0.7894631624221802},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5754426121711731},{"id":"https://openalex.org/keywords/tree","display_name":"Tree (set theory)","score":0.5355228185653687},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4925563931465149},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37327125668525696},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3435038924217224},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.33039629459381104}],"concepts":[{"id":"https://openalex.org/C68010082","wikidata":"https://www.wikidata.org/wiki/Q192445","display_name":"Delaunay triangulation","level":2,"score":0.7894631624221802},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5754426121711731},{"id":"https://openalex.org/C113174947","wikidata":"https://www.wikidata.org/wiki/Q2859736","display_name":"Tree (set theory)","level":2,"score":0.5355228185653687},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4925563931465149},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37327125668525696},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3435038924217224},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.33039629459381104}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1016/0304-3975(93)90024-n","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0304-3975(93)90024-n","pdf_url":null,"source":{"id":"https://openalex.org/S90727058","display_name":"Theoretical Computer Science","issn_l":"0304-3975","issn":["0304-3975","1879-2294"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Theoretical Computer Science","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.35.324","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.35.324","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ftp://ftp.inria.fr/INRIA/publication/publi-ps-gz/RR/RR-1140.ps.gz","raw_type":"text"},{"id":"pmh:oai:HAL:inria-00075419v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00075419","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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] RR-1140, INRIA. 1989","raw_type":"Reports"}],"best_oa_location":{"id":"pmh:oai:HAL:inria-00075419v1","is_oa":true,"landing_page_url":"https://inria.hal.science/inria-00075419","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"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] RR-1140, INRIA. 1989","raw_type":"Reports"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W1500902420","https://openalex.org/W1520126157","https://openalex.org/W1967005434","https://openalex.org/W1969165241","https://openalex.org/W1982483258","https://openalex.org/W1989130580","https://openalex.org/W2002827932","https://openalex.org/W2005314985","https://openalex.org/W2041775009","https://openalex.org/W2046053182","https://openalex.org/W2052165970","https://openalex.org/W2057512681","https://openalex.org/W2058432138","https://openalex.org/W2060113403","https://openalex.org/W2065541356","https://openalex.org/W2070164574","https://openalex.org/W2097944783","https://openalex.org/W2109067131","https://openalex.org/W2289065784","https://openalex.org/W2332151900","https://openalex.org/W3041834803","https://openalex.org/W4254977685","https://openalex.org/W4300559773","https://openalex.org/W4300640952","https://openalex.org/W6629904849","https://openalex.org/W6631368246","https://openalex.org/W6647621568","https://openalex.org/W6661287132"],"related_works":["https://openalex.org/W2359979928","https://openalex.org/W2368353614","https://openalex.org/W2390369954","https://openalex.org/W1529719486","https://openalex.org/W2373917503","https://openalex.org/W2906423005","https://openalex.org/W4232052003","https://openalex.org/W2385297469","https://openalex.org/W2001914902","https://openalex.org/W2353399380"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2018,"cited_by_count":4},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2012,"cited_by_count":2}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
