{"id":"https://openalex.org/W2002285779","doi":"https://doi.org/10.1007/s10898-006-9065-5","title":"Extremal problems for convex polygons","display_name":"Extremal problems for convex polygons","publication_year":2006,"publication_date":"2006-08-08","ids":{"openalex":"https://openalex.org/W2002285779","doi":"https://doi.org/10.1007/s10898-006-9065-5","mag":"2002285779"},"language":"en","primary_location":{"id":"doi:10.1007/s10898-006-9065-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-006-9065-5","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","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/A5089929904","display_name":"Charles Audet","orcid":"https://orcid.org/0000-0002-3043-5393"},"institutions":[{"id":"https://openalex.org/I45683168","display_name":"Polytechnique Montr\u00e9al","ror":"https://ror.org/05f8d4e86","country_code":"CA","type":"education","lineage":["https://openalex.org/I45683168"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Charles Audet","raw_affiliation_strings":["\u00c9cole Polytechnique de Montr\u00e9al, Montreal, Canada","Ecole Polytechnique de Montreal , Montreal , Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"\u00c9cole Polytechnique de Montr\u00e9al, Montreal, Canada","institution_ids":["https://openalex.org/I45683168"]},{"raw_affiliation_string":"Ecole Polytechnique de Montreal , Montreal , Canada","institution_ids":["https://openalex.org/I45683168"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5038480864","display_name":"Pierre Hansen","orcid":null},"institutions":[{"id":"https://openalex.org/I108192572","display_name":"HEC Montr\u00e9al","ror":"https://ror.org/05ww3wq27","country_code":"CA","type":"education","lineage":["https://openalex.org/I108192572"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Pierre Hansen","raw_affiliation_strings":["HEC Montr\u00e9al, Montreal, Canada","HEC Montr\u00e9al, Montreal, Canada H3T 2A7#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HEC Montr\u00e9al, Montreal, Canada","institution_ids":["https://openalex.org/I108192572"]},{"raw_affiliation_string":"HEC Montr\u00e9al, Montreal, Canada H3T 2A7#TAB#","institution_ids":["https://openalex.org/I108192572"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028964575","display_name":"Fr\u00e9d\u00e9ric Messine","orcid":"https://orcid.org/0000-0002-6457-3321"},"institutions":[{"id":"https://openalex.org/I134560555","display_name":"Universit\u00e9 Toulouse III - Paul Sabatier","ror":"https://ror.org/02v6kpv12","country_code":"FR","type":"education","lineage":["https://openalex.org/I134560555"]},{"id":"https://openalex.org/I205747304","display_name":"Institut National Polytechnique de Toulouse","ror":"https://ror.org/033p9g875","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304"]},{"id":"https://openalex.org/I3131550300","display_name":"Universit\u00e9 Toulouse-I-Capitole","ror":"https://ror.org/0443n9e75","country_code":"FR","type":"education","lineage":["https://openalex.org/I3131550300"]},{"id":"https://openalex.org/I4210119061","display_name":"Institut de Recherche en Informatique de Toulouse","ror":"https://ror.org/01rx4qw44","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I205747304","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405259414"]},{"id":"https://openalex.org/I4210152422","display_name":"Universit\u00e9 Toulouse - Jean Jaur\u00e8s","ror":"https://ror.org/04ezk3x31","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210152422"]},{"id":"https://openalex.org/I4210160189","display_name":"Institut Polytechnique de Bordeaux","ror":"https://ror.org/054qv7y42","country_code":"FR","type":"education","lineage":["https://openalex.org/I4210160189"]},{"id":"https://openalex.org/I4387153255","display_name":"\u00c9cole Nationale Sup\u00e9rieure d'\u00c9lectrotechnique, d'\u00c9lectronique, d'Informatique, d'Hydraulique et des T\u00e9l\u00e9communications","ror":"https://ror.org/05wfw4946","country_code":"FR","type":"education","lineage":["https://openalex.org/I205747304","https://openalex.org/I4387153255"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fr\u00e9d\u00e9ric Messine","raw_affiliation_strings":["ENSEEIHT-IRIT, Toulouse, France","ENSEEIHT-IRIT, Toulouse, France 31071#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ENSEEIHT-IRIT, Toulouse, France","institution_ids":["https://openalex.org/I4210152422","https://openalex.org/I4387153255","https://openalex.org/I205747304","https://openalex.org/I134560555","https://openalex.org/I4210119061","https://openalex.org/I3131550300","https://openalex.org/I4210160189"]},{"raw_affiliation_string":"ENSEEIHT-IRIT, Toulouse, France 31071#TAB#","institution_ids":["https://openalex.org/I4210152422","https://openalex.org/I4387153255","https://openalex.org/I205747304","https://openalex.org/I134560555","https://openalex.org/I4210119061","https://openalex.org/I3131550300","https://openalex.org/I4210160189"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5028964575"],"corresponding_institution_ids":["https://openalex.org/I134560555","https://openalex.org/I205747304","https://openalex.org/I3131550300","https://openalex.org/I4210119061","https://openalex.org/I4210152422","https://openalex.org/I4210160189","https://openalex.org/I4387153255"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2780},"apc_paid":null,"fwci":2.6247,"has_fulltext":false,"cited_by_count":44,"citation_normalized_percentile":{"value":0.89540466,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"38","issue":"2","first_page":"163","last_page":"179"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9986000061035156,"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":0.9986000061035156,"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":0.9937000274658203,"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/T12176","display_name":"Optimization and Packing Problems","score":0.9926000237464905,"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/mathematics","display_name":"Mathematics","score":0.8512498140335083},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.7345864772796631},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.6641566753387451},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.5867964029312134},{"id":"https://openalex.org/keywords/convex-polygon","display_name":"Convex polygon","score":0.543635904788971},{"id":"https://openalex.org/keywords/perimeter","display_name":"Perimeter","score":0.4632396101951599},{"id":"https://openalex.org/keywords/series","display_name":"Series (stratigraphy)","score":0.4537716805934906},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.4333176910877228},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4026859402656555},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3240450918674469},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1646358072757721},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.08937010169029236}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8512498140335083},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.7345864772796631},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.6641566753387451},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.5867964029312134},{"id":"https://openalex.org/C2780034980","wikidata":"https://www.wikidata.org/wiki/Q3259505","display_name":"Convex polygon","level":3,"score":0.543635904788971},{"id":"https://openalex.org/C98503990","wikidata":"https://www.wikidata.org/wiki/Q28474","display_name":"Perimeter","level":2,"score":0.4632396101951599},{"id":"https://openalex.org/C143724316","wikidata":"https://www.wikidata.org/wiki/Q312468","display_name":"Series (stratigraphy)","level":2,"score":0.4537716805934906},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.4333176910877228},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4026859402656555},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3240450918674469},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1646358072757721},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.08937010169029236},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10898-006-9065-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10898-006-9065-5","pdf_url":null,"source":{"id":"https://openalex.org/S115925768","display_name":"Journal of Global Optimization","issn_l":"0925-5001","issn":["0925-5001","1573-2916"],"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":"Journal of Global Optimization","raw_type":"journal-article"},{"id":"pmh:oai:publications.polymtl.ca:22288","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/22288/","pdf_url":null,"source":{"id":"https://openalex.org/S4306401013","display_name":"PolyPublie (\u00c9cole Polytechnique de Montr\u00e9al)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I45683168","host_organization_name":"Polytechnique Montr\u00e9al","host_organization_lineage":["https://openalex.org/I45683168"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article de revue"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":51,"referenced_works":["https://openalex.org/W116416277","https://openalex.org/W167007249","https://openalex.org/W182221926","https://openalex.org/W197970504","https://openalex.org/W852955172","https://openalex.org/W1530501119","https://openalex.org/W1571070457","https://openalex.org/W1572708899","https://openalex.org/W1579057532","https://openalex.org/W1598648432","https://openalex.org/W1598926050","https://openalex.org/W1886241383","https://openalex.org/W1891465314","https://openalex.org/W1966110718","https://openalex.org/W1979102995","https://openalex.org/W1983538244","https://openalex.org/W1995805119","https://openalex.org/W2017151271","https://openalex.org/W2027507075","https://openalex.org/W2042105004","https://openalex.org/W2046396305","https://openalex.org/W2051748292","https://openalex.org/W2063190731","https://openalex.org/W2068621612","https://openalex.org/W2073249720","https://openalex.org/W2078072054","https://openalex.org/W2081929325","https://openalex.org/W2086460360","https://openalex.org/W2099229992","https://openalex.org/W2118007687","https://openalex.org/W2149994718","https://openalex.org/W2157245173","https://openalex.org/W2272795305","https://openalex.org/W2307242080","https://openalex.org/W2313129640","https://openalex.org/W2319149236","https://openalex.org/W2773251010","https://openalex.org/W2792006822","https://openalex.org/W2917891345","https://openalex.org/W3021628715","https://openalex.org/W3195153441","https://openalex.org/W4210916633","https://openalex.org/W4211205179","https://openalex.org/W4231440947","https://openalex.org/W4245236715","https://openalex.org/W4252894371","https://openalex.org/W4292175028","https://openalex.org/W4295634057","https://openalex.org/W6607772399","https://openalex.org/W6662484094","https://openalex.org/W6746448280"],"related_works":["https://openalex.org/W2088889931","https://openalex.org/W2154141401","https://openalex.org/W2314484939","https://openalex.org/W2013545179","https://openalex.org/W1585992543","https://openalex.org/W2156368441","https://openalex.org/W3175422282","https://openalex.org/W4287134842","https://openalex.org/W2044260792","https://openalex.org/W2215744270"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":4},{"year":2022,"cited_by_count":3},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-16T07:32:37.131356","created_date":"2025-10-10T00:00:00"}
