{"id":"https://openalex.org/W3195408583","doi":"https://doi.org/10.1007/978-3-030-85165-1_2","title":"The m-B\u00e9zout Bound and Distance Geometry","display_name":"The m-B\u00e9zout Bound and Distance Geometry","publication_year":2021,"publication_date":"2021-01-01","ids":{"openalex":"https://openalex.org/W3195408583","doi":"https://doi.org/10.1007/978-3-030-85165-1_2","mag":"3195408583"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-030-85165-1_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-85165-1_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://hal.science/hal-03523833v1/document","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091017449","display_name":"Evangelos Bartzos","orcid":"https://orcid.org/0000-0002-3117-9694"},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]},{"id":"https://openalex.org/I4210156054","display_name":"Athena Research and Innovation Center In Information Communication & Knowledge Technologies","ror":"https://ror.org/0576by029","country_code":"GR","type":"facility","lineage":["https://openalex.org/I4210156054"]}],"countries":["GR"],"is_corresponding":true,"raw_author_name":"Evangelos Bartzos","raw_affiliation_strings":["Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, 15784, Athens, Greece","\u201cAthena\u201d Research Center, 15125, Maroussi, Greece","ARC - Athena Research and Innovation Centre (Greece)","AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes (2004 route des Lucioles BP 93 06902 Sophia Antipolis cedex - France)","DI NKUA - Department of Informatics and Telecomunications [Kapodistrian Univ] (National and Kapodistrian University of Athens, Panepistimiopolis, Ilissia Athens 15784 - Greece)"],"affiliations":[{"raw_affiliation_string":"Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, 15784, Athens, Greece","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"\u201cAthena\u201d Research Center, 15125, Maroussi, Greece","institution_ids":["https://openalex.org/I4210156054"]},{"raw_affiliation_string":"ARC - Athena Research and Innovation Centre (Greece)","institution_ids":["https://openalex.org/I4210156054"]},{"raw_affiliation_string":"AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes (2004 route des Lucioles BP 93 06902 Sophia Antipolis cedex - France)","institution_ids":[]},{"raw_affiliation_string":"DI NKUA - Department of Informatics and Telecomunications [Kapodistrian Univ] (National and Kapodistrian University of Athens, Panepistimiopolis, Ilissia Athens 15784 - Greece)","institution_ids":["https://openalex.org/I200777214"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5087662998","display_name":"Ioannis Z. Emiris","orcid":"https://orcid.org/0000-0002-2339-5303"},"institutions":[{"id":"https://openalex.org/I4210156054","display_name":"Athena Research and Innovation Center In Information Communication & Knowledge Technologies","ror":"https://ror.org/0576by029","country_code":"GR","type":"facility","lineage":["https://openalex.org/I4210156054"]},{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Ioannis Z. Emiris","raw_affiliation_strings":["Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, 15784, Athens, Greece","\u201cAthena\u201d Research Center, 15125, Maroussi, Greece","DI NKUA - Department of Informatics and Telecomunications [Kapodistrian Univ] (National and Kapodistrian University of Athens, Panepistimiopolis, Ilissia Athens 15784 - Greece)","ARC - Athena Research and Innovation Centre (Greece)","AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes (2004 route des Lucioles BP 93 06902 Sophia Antipolis cedex - France)"],"affiliations":[{"raw_affiliation_string":"Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, 15784, Athens, Greece","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"\u201cAthena\u201d Research Center, 15125, Maroussi, Greece","institution_ids":["https://openalex.org/I4210156054"]},{"raw_affiliation_string":"DI NKUA - Department of Informatics and Telecomunications [Kapodistrian Univ] (National and Kapodistrian University of Athens, Panepistimiopolis, Ilissia Athens 15784 - Greece)","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"ARC - Athena Research and Innovation Centre (Greece)","institution_ids":["https://openalex.org/I4210156054"]},{"raw_affiliation_string":"AROMATH - AlgebRe, geOmetrie, Modelisation et AlgoriTHmes (2004 route des Lucioles BP 93 06902 Sophia Antipolis cedex - France)","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5051757549","display_name":"Charalambos Tzamos","orcid":"https://orcid.org/0000-0001-7029-6431"},"institutions":[{"id":"https://openalex.org/I200777214","display_name":"National and Kapodistrian University of Athens","ror":"https://ror.org/04gnjpq42","country_code":"GR","type":"education","lineage":["https://openalex.org/I200777214"]}],"countries":["GR"],"is_corresponding":false,"raw_author_name":"Charalambos Tzamos","raw_affiliation_strings":["Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, 15784, Athens, Greece","DI NKUA - Department of Informatics and Telecomunications [Kapodistrian Univ] (National and Kapodistrian University of Athens, Panepistimiopolis, Ilissia Athens 15784 - Greece)"],"affiliations":[{"raw_affiliation_string":"Department of Informatics and Telecommunications, National and Kapodistrian University of Athens, 15784, Athens, Greece","institution_ids":["https://openalex.org/I200777214"]},{"raw_affiliation_string":"DI NKUA - Department of Informatics and Telecomunications [Kapodistrian Univ] (National and Kapodistrian University of Athens, Panepistimiopolis, Ilissia Athens 15784 - Greece)","institution_ids":["https://openalex.org/I200777214"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5091017449"],"corresponding_institution_ids":["https://openalex.org/I200777214","https://openalex.org/I4210156054"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":4.6076,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.94085282,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"6","last_page":"20"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9983000159263611,"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":0.9983000159263611,"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":0.9941999912261963,"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/T10571","display_name":"Robotic Mechanisms and Dynamics","score":0.9890999794006348,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems 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/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.7268359065055847},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6473783850669861},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.566792368888855},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.46833276748657227},{"id":"https://openalex.org/keywords/quadratic-equation","display_name":"Quadratic equation","score":0.44806376099586487},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4061678349971771},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.22775638103485107},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.1017656922340393}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.7268359065055847},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6473783850669861},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.566792368888855},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.46833276748657227},{"id":"https://openalex.org/C129844170","wikidata":"https://www.wikidata.org/wiki/Q41299","display_name":"Quadratic equation","level":2,"score":0.44806376099586487},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4061678349971771},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.22775638103485107},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.1017656922340393}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-030-85165-1_2","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-030-85165-1_2","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},{"id":"pmh:oai:HAL:hal-03523833v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03523833","pdf_url":"https://hal.science/hal-03523833v1/document","source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","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":"CASC 2021 - 23rd International Workshop Computer Algebra in Scientific Computing, Sep 2021, Sochi, Russia. ⟨10.1007/978-3-030-85165-1_2⟩","raw_type":"Conference papers"}],"best_oa_location":{"id":"pmh:oai:HAL:hal-03523833v1","is_oa":true,"landing_page_url":"https://hal.science/hal-03523833","pdf_url":"https://hal.science/hal-03523833v1/document","source":{"id":"https://openalex.org/S4406922461","display_name":"SPIRE - Sciences Po Institutional REpository","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":"CASC 2021 - 23rd International Workshop Computer Algebra in Scientific Computing, Sep 2021, Sochi, Russia. ⟨10.1007/978-3-030-85165-1_2⟩","raw_type":"Conference papers"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2689612763","display_name":null,"funder_award_id":"Marie","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5106393497","display_name":"Algebraic Representations in Computer-Aided Design for complEx Shapes","funder_award_id":"675789","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8318064016","display_name":null,"funder_award_id":"Horizon","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320313934","display_name":"Institut national de recherche en informatique et en automatique (INRIA)","ror":"https://ror.org/02kvxyf05"},{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3195408583.pdf","grobid_xml":"https://content.openalex.org/works/W3195408583.grobid-xml"},"referenced_works_count":26,"referenced_works":["https://openalex.org/W1488960947","https://openalex.org/W1522692516","https://openalex.org/W1587404451","https://openalex.org/W1644572710","https://openalex.org/W1691290619","https://openalex.org/W1915106399","https://openalex.org/W1948893736","https://openalex.org/W1987075624","https://openalex.org/W2026588045","https://openalex.org/W2027815348","https://openalex.org/W2037009986","https://openalex.org/W2046598752","https://openalex.org/W2133379938","https://openalex.org/W2143023483","https://openalex.org/W2295465424","https://openalex.org/W2784208434","https://openalex.org/W2801664259","https://openalex.org/W2902145203","https://openalex.org/W3006637741","https://openalex.org/W3033108960","https://openalex.org/W3043945154","https://openalex.org/W3081066848","https://openalex.org/W3093733732","https://openalex.org/W3102759601","https://openalex.org/W3179653669","https://openalex.org/W4231402266"],"related_works":["https://openalex.org/W2980963558","https://openalex.org/W1882246857","https://openalex.org/W3103304230","https://openalex.org/W2185360082","https://openalex.org/W1992365905","https://openalex.org/W4287664878","https://openalex.org/W3212023493","https://openalex.org/W1991411408","https://openalex.org/W2066456778","https://openalex.org/W4288278856"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2}],"updated_date":"2026-03-21T08:13:44.787528","created_date":"2025-10-10T00:00:00"}