{"id":"https://openalex.org/W2022387986","doi":"https://doi.org/10.1007/s00454-008-9103-9","title":"Isoperimetric Polygons of Maximum Width","display_name":"Isoperimetric Polygons of Maximum Width","publication_year":2008,"publication_date":"2008-08-21","ids":{"openalex":"https://openalex.org/W2022387986","doi":"https://doi.org/10.1007/s00454-008-9103-9","mag":"2022387986"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-008-9103-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-008-9103-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-008-9103-9.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/s00454-008-9103-9.pdf","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/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]},{"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":true,"raw_author_name":"Charles Audet","raw_affiliation_strings":["GERAD and D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, \u00c9cole Polytechnique de Montr\u00e9al, C.P. 6079, Succ. Centre-ville, Montr\u00e9al, Qu\u00e9bec, H3C 3A7, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GERAD and D\u00e9partement de Math\u00e9matiques et de G\u00e9nie Industriel, \u00c9cole Polytechnique de Montr\u00e9al, C.P. 6079, Succ. Centre-ville, Montr\u00e9al, Qu\u00e9bec, H3C 3A7, Canada","institution_ids":["https://openalex.org/I45683168","https://openalex.org/I4210133247"]}]},{"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"]},{"id":"https://openalex.org/I4210133247","display_name":"Group for Research in Decision Analysis","ror":"https://ror.org/02pkvpx84","country_code":"CA","type":"facility","lineage":["https://openalex.org/I108192572","https://openalex.org/I159129438","https://openalex.org/I4210133247","https://openalex.org/I45683168","https://openalex.org/I49663120","https://openalex.org/I5023651"]},{"id":"https://openalex.org/I4210146550","display_name":"\u00c9cole des Hautes \u00c9tudes Commerciales","ror":"https://ror.org/05frye867","country_code":"DZ","type":"education","lineage":["https://openalex.org/I4210146550"]},{"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","DZ"],"is_corresponding":false,"raw_author_name":"Pierre Hansen","raw_affiliation_strings":["GERAD and D\u00e9partement des M\u00e9thodes Quantitatives, HEC Montr\u00e9al, 3000 Chemin de la C\u00f4te Sainte Catherine, Montr\u00e9al, H3C 3A7, Canada","\u00c9cole des Hautes \u00c9tudes Commerciales, C.P. 6079, Succ. Centre-ville, Montr\u00e9al, Qu\u00e9bec, H3C 3A7, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"GERAD and D\u00e9partement des M\u00e9thodes Quantitatives, HEC Montr\u00e9al, 3000 Chemin de la C\u00f4te Sainte Catherine, Montr\u00e9al, H3C 3A7, Canada","institution_ids":["https://openalex.org/I108192572","https://openalex.org/I4210133247","https://openalex.org/I45683168"]},{"raw_affiliation_string":"\u00c9cole des Hautes \u00c9tudes Commerciales, C.P. 6079, Succ. Centre-ville, Montr\u00e9al, Qu\u00e9bec, H3C 3A7, Canada","institution_ids":["https://openalex.org/I4210146550","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/I1294671590","display_name":"Centre National de la Recherche Scientifique","ror":"https://ror.org/02feahw73","country_code":"FR","type":"government","lineage":["https://openalex.org/I1294671590"]},{"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":false,"raw_author_name":"Fr\u00e9d\u00e9ric Messine","raw_affiliation_strings":["ENSEEIHT-IRIT, UMR-CNRS 5505, 2 rue Camichel BP 7122, 31071, Toulouse Cedex 7, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ENSEEIHT-IRIT, UMR-CNRS 5505, 2 rue Camichel BP 7122, 31071, Toulouse Cedex 7, France","institution_ids":["https://openalex.org/I4210152422","https://openalex.org/I1294671590","https://openalex.org/I205747304","https://openalex.org/I4387153255","https://openalex.org/I134560555","https://openalex.org/I4210119061","https://openalex.org/I3131550300","https://openalex.org/I4210160189"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5089929904"],"corresponding_institution_ids":["https://openalex.org/I4210133247","https://openalex.org/I45683168"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":2.9774,"has_fulltext":true,"cited_by_count":15,"citation_normalized_percentile":{"value":0.91185756,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":97},"biblio":{"volume":"41","issue":"1","first_page":"45","last_page":"60"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9993000030517578,"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":0.9993000030517578,"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":0.9966999888420105,"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"}},{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9901999831199646,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/isoperimetric-inequality","display_name":"Isoperimetric inequality","score":0.8367867469787598},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.8224084377288818},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.8064995408058167},{"id":"https://openalex.org/keywords/quadrilateral","display_name":"Quadrilateral","score":0.7768159508705139},{"id":"https://openalex.org/keywords/polygon","display_name":"Polygon (computer graphics)","score":0.6780742406845093},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6286935210227966},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.5037240386009216},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.2609522342681885},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.16725504398345947},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.10202845931053162},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.06158393621444702}],"concepts":[{"id":"https://openalex.org/C140142295","wikidata":"https://www.wikidata.org/wiki/Q617417","display_name":"Isoperimetric inequality","level":2,"score":0.8367867469787598},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.8224084377288818},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.8064995408058167},{"id":"https://openalex.org/C151756577","wikidata":"https://www.wikidata.org/wiki/Q36810","display_name":"Quadrilateral","level":3,"score":0.7768159508705139},{"id":"https://openalex.org/C190694206","wikidata":"https://www.wikidata.org/wiki/Q3276654","display_name":"Polygon (computer graphics)","level":3,"score":0.6780742406845093},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6286935210227966},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.5037240386009216},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.2609522342681885},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.16725504398345947},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10202845931053162},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.06158393621444702},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0},{"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/C135628077","wikidata":"https://www.wikidata.org/wiki/Q220184","display_name":"Finite element method","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00454-008-9103-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-008-9103-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-008-9103-9.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"},{"id":"pmh:oai:publications.polymtl.ca:20016","is_oa":false,"landing_page_url":"https://publications.polymtl.ca/20016/","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":{"id":"doi:10.1007/s00454-008-9103-9","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s00454-008-9103-9","pdf_url":"https://link.springer.com/content/pdf/10.1007/s00454-008-9103-9.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":[{"id":"https://openalex.org/G1523888516","display_name":null,"funder_award_id":"FA9550-","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"},{"id":"https://openalex.org/G5809100787","display_name":null,"funder_award_id":"FA9550","funder_id":"https://openalex.org/F4320338279","funder_display_name":"Air Force Office of Scientific Research"}],"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/F4320338279","display_name":"Air Force Office of Scientific Research","ror":"https://ror.org/011e9bt93"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2022387986.pdf","grobid_xml":"https://content.openalex.org/works/W2022387986.grobid-xml"},"referenced_works_count":25,"referenced_works":["https://openalex.org/W38163568","https://openalex.org/W116416277","https://openalex.org/W148192211","https://openalex.org/W1539895965","https://openalex.org/W1572708899","https://openalex.org/W1598926050","https://openalex.org/W1891465314","https://openalex.org/W1966110718","https://openalex.org/W1980302605","https://openalex.org/W1983973909","https://openalex.org/W2002285779","https://openalex.org/W2017151271","https://openalex.org/W2027507075","https://openalex.org/W2034907509","https://openalex.org/W2042105004","https://openalex.org/W2051748292","https://openalex.org/W2078072054","https://openalex.org/W2099229992","https://openalex.org/W2272795305","https://openalex.org/W2307242080","https://openalex.org/W2773251010","https://openalex.org/W2792006822","https://openalex.org/W4210916633","https://openalex.org/W4295634057","https://openalex.org/W6835080727"],"related_works":["https://openalex.org/W2393012656","https://openalex.org/W4293733602","https://openalex.org/W2587882711","https://openalex.org/W4386721516","https://openalex.org/W1525374302","https://openalex.org/W2154141401","https://openalex.org/W1585992543","https://openalex.org/W2053943947","https://openalex.org/W2215744270","https://openalex.org/W2314484939"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2013,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-28T14:05:53.105641","created_date":"2025-10-10T00:00:00"}
