{"id":"https://openalex.org/W4289420046","doi":"https://doi.org/10.1007/s00454-021-00353-w","title":"Bounds for Polynomials on Algebraic Numbers and Application to Curve Topology","display_name":"Bounds for Polynomials on Algebraic Numbers and Application to Curve Topology","publication_year":2022,"publication_date":"2022-02-15","ids":{"openalex":"https://openalex.org/W4289420046","doi":"https://doi.org/10.1007/s00454-021-00353-w"},"language":"en","primary_location":{"id":"doi:10.1007/s00454-021-00353-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-021-00353-w","pdf_url":null,"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 & Computational Geometry","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://inria.hal.science/hal-01891417","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5060833363","display_name":"Daouda Niang Diatta","orcid":null},"institutions":[{"id":"https://openalex.org/I3133343326","display_name":"Ziguinchor University","ror":"https://ror.org/01xprs690","country_code":"SN","type":"education","lineage":["https://openalex.org/I3133343326"]}],"countries":["SN"],"is_corresponding":false,"raw_author_name":"Daouda Niang Diatta","raw_affiliation_strings":["Universit\u00e9 Assane Seck de Ziguinchor, Ziguinchor, Senegal","Universit\u00e9 Assane Seck de Ziguinchor [S\u00e9n\u00e9gal]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Assane Seck de Ziguinchor, Ziguinchor, Senegal","institution_ids":["https://openalex.org/I3133343326"]},{"raw_affiliation_string":"Universit\u00e9 Assane Seck de Ziguinchor [S\u00e9n\u00e9gal]","institution_ids":["https://openalex.org/I3133343326"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5074517866","display_name":"S\u00e9ny Diatta","orcid":null},"institutions":[{"id":"https://openalex.org/I3133343326","display_name":"Ziguinchor University","ror":"https://ror.org/01xprs690","country_code":"SN","type":"education","lineage":["https://openalex.org/I3133343326"]},{"id":"https://openalex.org/I4210099593","display_name":"Computer Algorithms for Medicine","ror":"https://ror.org/00zky6d38","country_code":"AT","type":"facility","lineage":["https://openalex.org/I4210099593"]}],"countries":["AT","SN"],"is_corresponding":false,"raw_author_name":"S\u00e9ny Diatta","raw_affiliation_strings":["Universit\u00e9 Assane Seck de Ziguinchor, Ziguinchor, Senegal","Universit\u00e9 Assane Seck de Ziguinchor [S\u00e9n\u00e9gal]","Geometric Algorithms and Models Beyond the Linear and Euclidean realm"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Universit\u00e9 Assane Seck de Ziguinchor, Ziguinchor, Senegal","institution_ids":["https://openalex.org/I3133343326"]},{"raw_affiliation_string":"Universit\u00e9 Assane Seck de Ziguinchor [S\u00e9n\u00e9gal]","institution_ids":["https://openalex.org/I3133343326"]},{"raw_affiliation_string":"Geometric Algorithms and Models Beyond the Linear and Euclidean realm","institution_ids":["https://openalex.org/I4210099593"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016765679","display_name":"Fabrice Rouillier","orcid":"https://orcid.org/0009-0004-2972-822X"},"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/I204730241","display_name":"Universit\u00e9 Paris Cit\u00e9","ror":"https://ror.org/05f82e368","country_code":"FR","type":"education","lineage":["https://openalex.org/I204730241"]},{"id":"https://openalex.org/I3017942884","display_name":"Institut de Math\u00e9matiques de Jussieu-Paris Rive Gauche","ror":"https://ror.org/03fk87k11","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I4210141950"]},{"id":"https://openalex.org/I39804081","display_name":"Sorbonne Universit\u00e9","ror":"https://ror.org/02en5vm52","country_code":"FR","type":"education","lineage":["https://openalex.org/I39804081"]},{"id":"https://openalex.org/I4403386633","display_name":"OURAGAN: Outils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses Applications","ror":"https://ror.org/01rrvyp50","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I1326498283","https://openalex.org/I204730241","https://openalex.org/I204730241","https://openalex.org/I3017942884","https://openalex.org/I39804081","https://openalex.org/I39804081","https://openalex.org/I4210141950","https://openalex.org/I4403386633","https://openalex.org/I4405255748","https://openalex.org/I4405257605"]}],"countries":["FR"],"is_corresponding":false,"raw_author_name":"Fabrice Rouillier","raw_affiliation_strings":["Sorbonne Universit\u00e9 and Universit\u00e9 de Paris, CNRS, INRIA, IMJ-PRG, 75005, Paris, France","OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs","Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","Sorbonne Universite\u0301"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Sorbonne Universit\u00e9 and Universit\u00e9 de Paris, CNRS, INRIA, IMJ-PRG, 75005, Paris, France","institution_ids":["https://openalex.org/I39804081","https://openalex.org/I204730241","https://openalex.org/I1294671590"]},{"raw_affiliation_string":"OUtils de R\u00e9solution Alg\u00e9briques pour la G\u00e9om\u00e9trie et ses ApplicatioNs","institution_ids":["https://openalex.org/I4403386633"]},{"raw_affiliation_string":"Institut de Math\u00e9matiques de Jussieu - Paris Rive Gauche","institution_ids":["https://openalex.org/I3017942884"]},{"raw_affiliation_string":"Sorbonne Universite\u0301","institution_ids":["https://openalex.org/I39804081"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5032403197","display_name":"Marie-Fran\u00e7oise Roy","orcid":"https://orcid.org/0000-0002-6955-6491"},"institutions":[{"id":"https://openalex.org/I4210161663","display_name":"Institut de recherche math\u00e9matique de Rennes","ror":"https://ror.org/05y76vp22","country_code":"FR","type":"facility","lineage":["https://openalex.org/I1294671590","https://openalex.org/I1294671590","https://openalex.org/I2800285241","https://openalex.org/I28221208","https://openalex.org/I3124938446","https://openalex.org/I4210117091","https://openalex.org/I4210141950","https://openalex.org/I4210146044","https://openalex.org/I4210161663","https://openalex.org/I4399657933","https://openalex.org/I56067802","https://openalex.org/I56067802"]},{"id":"https://openalex.org/I56067802","display_name":"Universit\u00e9 de Rennes","ror":"https://ror.org/015m7wh34","country_code":"FR","type":"education","lineage":["https://openalex.org/I56067802"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Marie-Fran\u00e7oise Roy","raw_affiliation_strings":["IRMAR, Universit\u00e9 de Rennes I, Campus de Beaulieu, 35042, Rennes, France","Institut de Recherche Math\u00e9matique de Rennes"],"raw_orcid":"https://orcid.org/0000-0002-6955-6491","affiliations":[{"raw_affiliation_string":"IRMAR, Universit\u00e9 de Rennes I, Campus de Beaulieu, 35042, Rennes, France","institution_ids":["https://openalex.org/I56067802","https://openalex.org/I4210161663"]},{"raw_affiliation_string":"Institut de Recherche Math\u00e9matique de Rennes","institution_ids":["https://openalex.org/I4210161663"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053701940","display_name":"Michael Sagraloff","orcid":null},"institutions":[{"id":"https://openalex.org/I202671389","display_name":"University of Applied Sciences Landshut","ror":"https://ror.org/056z5bx32","country_code":"DE","type":"education","lineage":["https://openalex.org/I202671389"]},{"id":"https://openalex.org/I4210109712","display_name":"Max Planck Institute for Informatics","ror":"https://ror.org/01w19ak89","country_code":"DE","type":"facility","lineage":["https://openalex.org/I149899117","https://openalex.org/I4210109712"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Michael Sagraloff","raw_affiliation_strings":["HAW Landshut, Landshut, Germany","Max-Planck-Institut f\u00fcr Informatik"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"HAW Landshut, Landshut, Germany","institution_ids":["https://openalex.org/I202671389"]},{"raw_affiliation_string":"Max-Planck-Institut f\u00fcr Informatik","institution_ids":["https://openalex.org/I4210109712"]}]}],"institutions":[],"countries_distinct_count":4,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5032403197"],"corresponding_institution_ids":["https://openalex.org/I4210161663","https://openalex.org/I56067802"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":1.8265,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.82659836,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"67","issue":"3","first_page":"631","last_page":"697"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994999766349792,"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"}},"topics":[{"id":"https://openalex.org/T11245","display_name":"Advanced Numerical Analysis Techniques","score":0.9994999766349792,"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":0.9984999895095825,"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/T10481","display_name":"Computer Graphics and Visualization Techniques","score":0.9771999716758728,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6513806581497192},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.53407222032547},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5222635865211487},{"id":"https://openalex.org/keywords/algebraic-topology","display_name":"Algebraic topology","score":0.504698634147644},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.36092913150787354},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.33631742000579834},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3028757572174072},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10325050354003906}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6513806581497192},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.53407222032547},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5222635865211487},{"id":"https://openalex.org/C145054310","wikidata":"https://www.wikidata.org/wiki/Q212803","display_name":"Algebraic topology","level":3,"score":0.504698634147644},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.36092913150787354},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.33631742000579834},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3028757572174072},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10325050354003906},{"id":"https://openalex.org/C5961521","wikidata":"https://www.wikidata.org/wiki/Q746083","display_name":"Homotopy","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s00454-021-00353-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00454-021-00353-w","pdf_url":null,"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 & Computational Geometry","raw_type":"journal-article"},{"id":"pmh:oai:HAL:hal-01891417v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01891417","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete and Computational Geometry, 2022, 67, pp.631-697. ⟨10.1007/s00454-021-00353-w⟩","raw_type":"Journal articles"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-01891417v1","is_oa":true,"landing_page_url":"https://inria.hal.science/hal-01891417","pdf_url":null,"source":{"id":"https://openalex.org/S4306402512","display_name":"HAL (Le Centre pour la Communication Scientifique Directe)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1294671590","host_organization_name":"Centre National de la Recherche Scientifique","host_organization_lineage":["https://openalex.org/I1294671590"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Discrete and Computational Geometry, 2022, 67, pp.631-697. ⟨10.1007/s00454-021-00353-w⟩","raw_type":"Journal articles"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1515683204","https://openalex.org/W1562183207","https://openalex.org/W1966047467","https://openalex.org/W1986084578","https://openalex.org/W2005187819","https://openalex.org/W2007053866","https://openalex.org/W2025941018","https://openalex.org/W2027411255","https://openalex.org/W2047906192","https://openalex.org/W2059173068","https://openalex.org/W2061179469","https://openalex.org/W2069507832","https://openalex.org/W2075500668","https://openalex.org/W2080645379","https://openalex.org/W2105598679","https://openalex.org/W2112074285","https://openalex.org/W2134534233","https://openalex.org/W2144619406","https://openalex.org/W2151974897","https://openalex.org/W2165741765","https://openalex.org/W2464473992","https://openalex.org/W2626508605","https://openalex.org/W2963548828","https://openalex.org/W2964285479","https://openalex.org/W4255213956"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W1976691234","https://openalex.org/W3212023493","https://openalex.org/W25586180","https://openalex.org/W1517300152"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":2}],"updated_date":"2026-06-19T17:40:00.097472","created_date":"2025-10-10T00:00:00"}