{"id":"https://openalex.org/W2403776833","doi":"https://doi.org/10.1090/dimacs/004/07","title":"Computing the convex hull in the Euclidean plane in linear expected time","display_name":"Computing the convex hull in the Euclidean plane in linear expected time","publication_year":1991,"publication_date":"1991-06-26","ids":{"openalex":"https://openalex.org/W2403776833","doi":"https://doi.org/10.1090/dimacs/004/07","mag":"2403776833"},"language":"en","primary_location":{"id":"doi:10.1090/dimacs/004/07","is_oa":false,"landing_page_url":"https://doi.org/10.1090/dimacs/004/07","pdf_url":null,"source":{"id":"https://openalex.org/S4210177973","display_name":"DIMACS series in discrete mathematics and theoretical computer science","issn_l":"1052-1798","issn":["1052-1798","2472-4793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science","raw_type":"book-chapter"},"type":"book-chapter","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/A5074540538","display_name":"Karsten Borgwardt","orcid":"https://orcid.org/0000-0001-7221-2393"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"K. Borgwardt","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060076559","display_name":"Norbert Gaffke","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"N. Gaffke","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110594951","display_name":"Michael J\u00fcnger","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"M. J\u00fcnger","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5000892313","display_name":"Gerhard Reinelt","orcid":"https://orcid.org/0000-0002-7193-501X"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"G/ Reinelt","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":3.625,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.94805195,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"91","last_page":"108"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9754999876022339,"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":0.9754999876022339,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9151999950408936,"subfield":{"id":"https://openalex.org/subfields/2209","display_name":"Industrial and Manufacturing Engineering"},"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/convex-hull","display_name":"Convex hull","score":0.8135762214660645},{"id":"https://openalex.org/keywords/hull","display_name":"Hull","score":0.7127403020858765},{"id":"https://openalex.org/keywords/euclidean-geometry","display_name":"Euclidean geometry","score":0.6034620404243469},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.5812568664550781},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5431917309761047},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5110806226730347},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.4204099774360657},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40337151288986206},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.37843891978263855},{"id":"https://openalex.org/keywords/materials-science","display_name":"Materials science","score":0.14629662036895752},{"id":"https://openalex.org/keywords/composite-material","display_name":"Composite material","score":0.05029451847076416}],"concepts":[{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.8135762214660645},{"id":"https://openalex.org/C37423430","wikidata":"https://www.wikidata.org/wiki/Q6750281","display_name":"Hull","level":2,"score":0.7127403020858765},{"id":"https://openalex.org/C129782007","wikidata":"https://www.wikidata.org/wiki/Q162886","display_name":"Euclidean geometry","level":2,"score":0.6034620404243469},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.5812568664550781},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5431917309761047},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5110806226730347},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.4204099774360657},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40337151288986206},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.37843891978263855},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials science","level":0,"score":0.14629662036895752},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.05029451847076416}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1090/dimacs/004/07","is_oa":false,"landing_page_url":"https://doi.org/10.1090/dimacs/004/07","pdf_url":null,"source":{"id":"https://openalex.org/S4210177973","display_name":"DIMACS series in discrete mathematics and theoretical computer science","issn_l":"1052-1798","issn":["1052-1798","2472-4793"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"DIMACS Series in Discrete Mathematics and Theoretical Computer Science","raw_type":"book-chapter"},{"id":"pmh:hdl:10068/179102","is_oa":false,"landing_page_url":"http://hdl.handle.net/10068/179102","pdf_url":null,"source":{"id":"https://openalex.org/S4377196900","display_name":"OpenGrey (Institut de l'Information Scientifique et Technique)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1295345811","host_organization_name":"Institut de l'Information Scientifique et Technique","host_organization_lineage":["https://openalex.org/I1295345811"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"I - Miscellaneous"},{"id":"pmh:oai:e-archive.informatik.uni-koeln.de:863","is_oa":false,"landing_page_url":"http://e-archive.informatik.uni-koeln.de/863/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401304","display_name":"Computer Science Publication Server (University of Cologne)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I180923762","host_organization_name":"University of Cologne","host_organization_lineage":["https://openalex.org/I180923762"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Book Section"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:16836","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/16836","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"bookpart"},{"id":"pmh:oai:uni-augsburg.opus-bayern.de:16837","is_oa":false,"landing_page_url":"https://opus.bibliothek.uni-augsburg.de/opus4/frontdoor/index/index/docId/16837","pdf_url":null,"source":{"id":"https://openalex.org/S4306400930","display_name":"OPUS (Augsburg University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I119916105","host_organization_name":"Augsburg University","host_organization_lineage":["https://openalex.org/I119916105"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"bookpart"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1970960579","https://openalex.org/W2402215390","https://openalex.org/W4297581286","https://openalex.org/W2952368903","https://openalex.org/W4296580083","https://openalex.org/W2949500586","https://openalex.org/W2371177213","https://openalex.org/W1867657303","https://openalex.org/W2953313174","https://openalex.org/W4294255533"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-07T06:01:17.266235","created_date":"2025-10-10T00:00:00"}