{"id":"https://openalex.org/W2083855693","doi":"https://doi.org/10.1016/0305-0548(94)90027-2","title":"Enumerating extreme points of a highly degenerate polytope","display_name":"Enumerating extreme points of a highly degenerate polytope","publication_year":1994,"publication_date":"1994-04-01","ids":{"openalex":"https://openalex.org/W2083855693","doi":"https://doi.org/10.1016/0305-0548(94)90027-2","mag":"2083855693"},"language":"en","primary_location":{"id":"doi:10.1016/0305-0548(94)90027-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0305-0548(94)90027-2","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"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":"Computers &amp; Operations Research","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/A5106263487","display_name":"Takeo Yamada","orcid":"https://orcid.org/0000-0002-7506-5154"},"institutions":[{"id":"https://openalex.org/I443798","display_name":"National Defense Academy of Japan","ror":"https://ror.org/05xszy717","country_code":"JP","type":"education","lineage":["https://openalex.org/I443798"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"T. Yamada","raw_affiliation_strings":["Department of Computer Science, The National Defence Academy, Yokosuka, Kanagawa 239, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The National Defence Academy, Yokosuka, Kanagawa 239, Japan","institution_ids":["https://openalex.org/I443798"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5042021206","display_name":"J. Yoruzuya","orcid":null},"institutions":[{"id":"https://openalex.org/I443798","display_name":"National Defense Academy of Japan","ror":"https://ror.org/05xszy717","country_code":"JP","type":"education","lineage":["https://openalex.org/I443798"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"J. Yoruzuya","raw_affiliation_strings":["Department of Computer Science, The National Defence Academy, Yokosuka, Kanagawa 239, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The National Defence Academy, Yokosuka, Kanagawa 239, Japan","institution_ids":["https://openalex.org/I443798"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5000863924","display_name":"Seiji Kataoka","orcid":null},"institutions":[{"id":"https://openalex.org/I443798","display_name":"National Defense Academy of Japan","ror":"https://ror.org/05xszy717","country_code":"JP","type":"education","lineage":["https://openalex.org/I443798"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"S. Kataoka","raw_affiliation_strings":["Department of Computer Science, The National Defence Academy, Yokosuka, Kanagawa 239, Japan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, The National Defence Academy, Yokosuka, Kanagawa 239, Japan","institution_ids":["https://openalex.org/I443798"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5106263487"],"corresponding_institution_ids":["https://openalex.org/I443798"],"apc_list":{"value":3210,"currency":"USD","value_usd":3210},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.21975662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"21","issue":"4","first_page":"397","last_page":"410"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9994999766349792,"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":0.9994999766349792,"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/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9876000285148621,"subfield":{"id":"https://openalex.org/subfields/2206","display_name":"Computational Mechanics"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11435","display_name":"Polynomial and algebraic computation","score":0.9740999937057495,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/degenerate-energy-levels","display_name":"Degenerate energy levels","score":0.9100571870803833},{"id":"https://openalex.org/keywords/degeneracy","display_name":"Degeneracy (biology)","score":0.9079791307449341},{"id":"https://openalex.org/keywords/polytope","display_name":"Polytope","score":0.8947368860244751},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.7883831262588501},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.7229642271995544},{"id":"https://openalex.org/keywords/simplex-algorithm","display_name":"Simplex algorithm","score":0.6719596982002258},{"id":"https://openalex.org/keywords/extreme-point","display_name":"Extreme point","score":0.5689748525619507},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5479027628898621},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.46898847818374634},{"id":"https://openalex.org/keywords/exploit","display_name":"Exploit","score":0.4524770975112915},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4161604642868042},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.38070836663246155},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.35499802231788635},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.16693425178527832},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06632798910140991}],"concepts":[{"id":"https://openalex.org/C72319582","wikidata":"https://www.wikidata.org/wiki/Q584304","display_name":"Degenerate energy levels","level":2,"score":0.9100571870803833},{"id":"https://openalex.org/C2777727622","wikidata":"https://www.wikidata.org/wiki/Q5251772","display_name":"Degeneracy (biology)","level":2,"score":0.9079791307449341},{"id":"https://openalex.org/C145691206","wikidata":"https://www.wikidata.org/wiki/Q747980","display_name":"Polytope","level":2,"score":0.8947368860244751},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.7883831262588501},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.7229642271995544},{"id":"https://openalex.org/C144521790","wikidata":"https://www.wikidata.org/wiki/Q134164","display_name":"Simplex algorithm","level":3,"score":0.6719596982002258},{"id":"https://openalex.org/C39847760","wikidata":"https://www.wikidata.org/wiki/Q1385465","display_name":"Extreme point","level":2,"score":0.5689748525619507},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5479027628898621},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.46898847818374634},{"id":"https://openalex.org/C165696696","wikidata":"https://www.wikidata.org/wiki/Q11287","display_name":"Exploit","level":2,"score":0.4524770975112915},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4161604642868042},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.38070836663246155},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.35499802231788635},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.16693425178527832},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06632798910140991},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C38652104","wikidata":"https://www.wikidata.org/wiki/Q3510521","display_name":"Computer security","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C60644358","wikidata":"https://www.wikidata.org/wiki/Q128570","display_name":"Bioinformatics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0305-0548(94)90027-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0305-0548(94)90027-2","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"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":"Computers &amp; Operations Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":18,"referenced_works":["https://openalex.org/W1974524011","https://openalex.org/W1991794409","https://openalex.org/W2009162210","https://openalex.org/W2011562113","https://openalex.org/W2022266599","https://openalex.org/W2038958829","https://openalex.org/W2056996623","https://openalex.org/W2071094669","https://openalex.org/W2071727445","https://openalex.org/W2082143163","https://openalex.org/W2084062866","https://openalex.org/W2119822193","https://openalex.org/W2281218127","https://openalex.org/W2492353954","https://openalex.org/W2802068870","https://openalex.org/W4300640952","https://openalex.org/W6668547863","https://openalex.org/W6723406818"],"related_works":["https://openalex.org/W1642182499","https://openalex.org/W4286870264","https://openalex.org/W2279275934","https://openalex.org/W4304687059","https://openalex.org/W4242784854","https://openalex.org/W2185826091","https://openalex.org/W2048470382","https://openalex.org/W2477407501","https://openalex.org/W2384679317","https://openalex.org/W2963235221"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
