{"id":"https://openalex.org/W4234356172","doi":"https://doi.org/10.1007/bf02293050","title":"A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra","display_name":"A pivoting algorithm for convex hulls and vertex enumeration of arrangements and polyhedra","publication_year":1992,"publication_date":"1992-08-01","ids":{"openalex":"https://openalex.org/W4234356172","doi":"https://doi.org/10.1007/bf02293050"},"language":"en","primary_location":{"id":"doi:10.1007/bf02293050","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02293050","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02293050.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"bronze","oa_url":"https://link.springer.com/content/pdf/10.1007/BF02293050.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5020530779","display_name":"David Avis","orcid":null},"institutions":[{"id":"https://openalex.org/I5023651","display_name":"McGill University","ror":"https://ror.org/01pxwe438","country_code":"CA","type":"education","lineage":["https://openalex.org/I5023651"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"David Avis","raw_affiliation_strings":["School of Computer Science, McGill University, 3480 University Street, H3A 2A7, Montreal, Quebec, Canada"],"affiliations":[{"raw_affiliation_string":"School of Computer Science, McGill University, 3480 University Street, H3A 2A7, Montreal, Quebec, Canada","institution_ids":["https://openalex.org/I5023651"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5105530217","display_name":"Komei Fukuda","orcid":null},"institutions":[{"id":"https://openalex.org/I114030911","display_name":"Otsuka (Japan)","ror":"https://ror.org/013k5y296","country_code":"JP","type":"company","lineage":["https://openalex.org/I114030911"]},{"id":"https://openalex.org/I146399215","display_name":"University of Tsukuba","ror":"https://ror.org/02956yf07","country_code":"JP","type":"education","lineage":["https://openalex.org/I146399215"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Komei Fukuda","raw_affiliation_strings":["Graduate School of Systems Management, University of Tsukuba, Otsuka, Bunkyo-ku, 112, Tokyo, Japan"],"affiliations":[{"raw_affiliation_string":"Graduate School of Systems Management, University of Tsukuba, Otsuka, Bunkyo-ku, 112, Tokyo, Japan","institution_ids":["https://openalex.org/I146399215","https://openalex.org/I114030911"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5020530779"],"corresponding_institution_ids":["https://openalex.org/I5023651"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":4.0104,"has_fulltext":true,"cited_by_count":401,"citation_normalized_percentile":{"value":0.93328602,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":99,"max":100},"biblio":{"volume":"8","issue":"3","first_page":"295","last_page":"313"},"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/T10374","display_name":"Advanced Graph Theory Research","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/T12176","display_name":"Optimization and Packing Problems","score":0.9987999796867371,"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":0.8165585994720459},{"id":"https://openalex.org/keywords/polyhedron","display_name":"Polyhedron","score":0.8009002208709717},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7798414826393127},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.6633831858634949},{"id":"https://openalex.org/keywords/enumeration","display_name":"Enumeration","score":0.6448172330856323},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6399644017219543},{"id":"https://openalex.org/keywords/vertex","display_name":"Vertex (graph theory)","score":0.5839695334434509},{"id":"https://openalex.org/keywords/hyperplane","display_name":"Hyperplane","score":0.5338749885559082},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.5066466927528381},{"id":"https://openalex.org/keywords/dimension","display_name":"Dimension (graph theory)","score":0.49937939643859863},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.48990243673324585},{"id":"https://openalex.org/keywords/facet","display_name":"Facet (psychology)","score":0.45491811633110046},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38068947196006775},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.10921025276184082},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.1054888665676117},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.08357712626457214}],"concepts":[{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.8165585994720459},{"id":"https://openalex.org/C54829058","wikidata":"https://www.wikidata.org/wiki/Q172937","display_name":"Polyhedron","level":2,"score":0.8009002208709717},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7798414826393127},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.6633831858634949},{"id":"https://openalex.org/C156340839","wikidata":"https://www.wikidata.org/wiki/Q2704791","display_name":"Enumeration","level":2,"score":0.6448172330856323},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6399644017219543},{"id":"https://openalex.org/C80899671","wikidata":"https://www.wikidata.org/wiki/Q1304193","display_name":"Vertex (graph theory)","level":3,"score":0.5839695334434509},{"id":"https://openalex.org/C68693459","wikidata":"https://www.wikidata.org/wiki/Q657586","display_name":"Hyperplane","level":2,"score":0.5338749885559082},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.5066466927528381},{"id":"https://openalex.org/C33676613","wikidata":"https://www.wikidata.org/wiki/Q13415176","display_name":"Dimension (graph theory)","level":2,"score":0.49937939643859863},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.48990243673324585},{"id":"https://openalex.org/C43122875","wikidata":"https://www.wikidata.org/wiki/Q5428522","display_name":"Facet (psychology)","level":4,"score":0.45491811633110046},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38068947196006775},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.10921025276184082},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.1054888665676117},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.08357712626457214},{"id":"https://openalex.org/C2865642","wikidata":"https://www.wikidata.org/wiki/Q378132","display_name":"Big Five personality traits","level":3,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C187288502","wikidata":"https://www.wikidata.org/wiki/Q641118","display_name":"Personality","level":2,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf02293050","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02293050","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02293050.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/bf02293050","is_oa":true,"landing_page_url":"https://doi.org/10.1007/bf02293050","pdf_url":"https://link.springer.com/content/pdf/10.1007/BF02293050.pdf","source":{"id":"https://openalex.org/S103671469","display_name":"Discrete & Computational Geometry","issn_l":"0179-5376","issn":["0179-5376","1432-0444"],"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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Discrete &amp; Computational Geometry","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"},{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4234356172.pdf","grobid_xml":"https://content.openalex.org/works/W4234356172.grobid-xml"},"referenced_works_count":14,"referenced_works":["https://openalex.org/W1862519416","https://openalex.org/W1973033359","https://openalex.org/W1991287453","https://openalex.org/W2030334004","https://openalex.org/W2043345643","https://openalex.org/W2061344951","https://openalex.org/W2064953601","https://openalex.org/W2082824470","https://openalex.org/W2120934134","https://openalex.org/W2156393948","https://openalex.org/W2168905666","https://openalex.org/W2170103551","https://openalex.org/W4213074663","https://openalex.org/W4300640952"],"related_works":["https://openalex.org/W2030718493","https://openalex.org/W2103429114","https://openalex.org/W2469464399","https://openalex.org/W2300145982","https://openalex.org/W2375652826","https://openalex.org/W2363904277","https://openalex.org/W2580512045","https://openalex.org/W2578380588","https://openalex.org/W1569666406","https://openalex.org/W2048874717"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":12},{"year":2024,"cited_by_count":12},{"year":2023,"cited_by_count":15},{"year":2022,"cited_by_count":20},{"year":2021,"cited_by_count":19},{"year":2020,"cited_by_count":16},{"year":2019,"cited_by_count":21},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":21},{"year":2016,"cited_by_count":20},{"year":2015,"cited_by_count":14},{"year":2014,"cited_by_count":18},{"year":2013,"cited_by_count":12},{"year":2012,"cited_by_count":15}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
