{"id":"https://openalex.org/W2801194566","doi":"https://doi.org/10.1016/0020-0190(92)90178-x","title":"Counting convex k-gons in planar point sets","display_name":"Counting convex k-gons in planar point sets","publication_year":1992,"publication_date":"1992-03-01","ids":{"openalex":"https://openalex.org/W2801194566","doi":"https://doi.org/10.1016/0020-0190(92)90178-x","mag":"2801194566"},"language":"en","primary_location":{"id":"doi:10.1016/0020-0190(92)90178-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(92)90178-x","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"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":"Information Processing Letters","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/A5111897488","display_name":"G. Rote","orcid":null},"institutions":[{"id":"https://openalex.org/I4092182","display_name":"Graz University of Technology","ror":"https://ror.org/00d7xrm67","country_code":"AT","type":"education","lineage":["https://openalex.org/I4092182"]}],"countries":["AT"],"is_corresponding":true,"raw_author_name":"G\u00fcnther Rote","raw_affiliation_strings":["Institut f\u00fcr Mathematik, Technische Universit\u00e4t Graz, Steirergasse 30, A-8010 Graz, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Mathematik, Technische Universit\u00e4t Graz, Steirergasse 30, A-8010 Graz, Austria","institution_ids":["https://openalex.org/I4092182"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5080746477","display_name":"Gerhard J. Woeginger","orcid":"https://orcid.org/0000-0001-8816-2693"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Gerhard Woeginger","raw_affiliation_strings":["Institut f\u00fcr Grundlagen der Informationsverarbeitung und Computergest\u00fctzte neue Medien, Klosterwiesgasse 32\u29f8II, A-8010 Graz, Austria"],"affiliations":[{"raw_affiliation_string":"Institut f\u00fcr Grundlagen der Informationsverarbeitung und Computergest\u00fctzte neue Medien, Klosterwiesgasse 32\u29f8II, A-8010 Graz, Austria","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111897488"],"corresponding_institution_ids":["https://openalex.org/I4092182"],"apc_list":{"value":2200,"currency":"USD","value_usd":2200},"apc_paid":null,"fwci":0.3342,"has_fulltext":false,"cited_by_count":8,"citation_normalized_percentile":{"value":0.65010646,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"41","issue":"4","first_page":"191","last_page":"194"},"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/T11830","display_name":"Point processes and geometric inequalities","score":0.9926000237464905,"subfield":{"id":"https://openalex.org/subfields/2604","display_name":"Applied Mathematics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11106","display_name":"Data Management and Algorithms","score":0.9916999936103821,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8358182907104492},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7752670049667358},{"id":"https://openalex.org/keywords/convex-body","display_name":"Convex body","score":0.6650431156158447},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6513772010803223},{"id":"https://openalex.org/keywords/convex-set","display_name":"Convex set","score":0.5420821905136108},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.5207459926605225},{"id":"https://openalex.org/keywords/general-position","display_name":"General position","score":0.4958411157131195},{"id":"https://openalex.org/keywords/convex-polytope","display_name":"Convex polytope","score":0.49205082654953003},{"id":"https://openalex.org/keywords/convex-combination","display_name":"Convex combination","score":0.4757906198501587},{"id":"https://openalex.org/keywords/plane","display_name":"Plane (geometry)","score":0.4404018223285675},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.4085468351840973},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3276863694190979},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.1526062786579132},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1342640221118927},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.09418851137161255}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8358182907104492},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7752670049667358},{"id":"https://openalex.org/C134912446","wikidata":"https://www.wikidata.org/wiki/Q5166516","display_name":"Convex body","level":4,"score":0.6650431156158447},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6513772010803223},{"id":"https://openalex.org/C49870271","wikidata":"https://www.wikidata.org/wiki/Q193657","display_name":"Convex set","level":4,"score":0.5420821905136108},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.5207459926605225},{"id":"https://openalex.org/C150397156","wikidata":"https://www.wikidata.org/wiki/Q591310","display_name":"General position","level":2,"score":0.4958411157131195},{"id":"https://openalex.org/C110943637","wikidata":"https://www.wikidata.org/wiki/Q4129097","display_name":"Convex polytope","level":5,"score":0.49205082654953003},{"id":"https://openalex.org/C111110010","wikidata":"https://www.wikidata.org/wiki/Q2627315","display_name":"Convex combination","level":4,"score":0.4757906198501587},{"id":"https://openalex.org/C17825722","wikidata":"https://www.wikidata.org/wiki/Q17285","display_name":"Plane (geometry)","level":2,"score":0.4404018223285675},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.4085468351840973},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3276863694190979},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.1526062786579132},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1342640221118927},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.09418851137161255}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1016/0020-0190(92)90178-x","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0020-0190(92)90178-x","pdf_url":null,"source":{"id":"https://openalex.org/S147953040","display_name":"Information Processing Letters","issn_l":"0020-0190","issn":["0020-0190","1872-6119"],"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":"Information Processing Letters","raw_type":"journal-article"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/08f776e1-a344-4f13-8dae-37287e6aa94d","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/08f776e1-a344-4f13-8dae-37287e6aa94d","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Rote, G & Woeginger, G J 1992, 'Counting convex k-gons in planar point sets', Information Processing Letters, vol. 41, no. 4, pp. 191-194. https://doi.org/10.1016/0020-0190(92)90178-X","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:680518","is_oa":false,"landing_page_url":"http://library.tue.nl/csp/dare/LinkToRepository.csp?recordnumber=680518","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0020-0190","raw_type":"Article / Letter to the editor"},{"id":"pmh:oai:library.tue.nl:680518","is_oa":false,"landing_page_url":"http://repository.tue.nl/680518","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"ISSN:0020-0190","raw_type":"Article / Letter to the editor"},{"id":"pmh:tue:oai:pure.tue.nl:publications/08f776e1-a344-4f13-8dae-37287e6aa94d","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/08f776e1-a344-4f13-8dae-37287e6aa94d","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Information Processing Letters, 41(4), 191 - 194. Elsevier","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":4,"referenced_works":["https://openalex.org/W1977761102","https://openalex.org/W2015612912","https://openalex.org/W2070747743","https://openalex.org/W2120934134"],"related_works":["https://openalex.org/W2090067893","https://openalex.org/W2402215390","https://openalex.org/W4238924095","https://openalex.org/W1427726556","https://openalex.org/W1763880239","https://openalex.org/W2057647747","https://openalex.org/W4300128383","https://openalex.org/W3212295152","https://openalex.org/W2798562735","https://openalex.org/W2801194566"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}