{"id":"https://openalex.org/W1579652636","doi":"https://doi.org/10.1007/978-3-642-31137-6_9","title":"On Lower Bounds Using Additively Separable Terms in Interval B&amp;B","display_name":"On Lower Bounds Using Additively Separable Terms in Interval B&amp;B","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W1579652636","doi":"https://doi.org/10.1007/978-3-642-31137-6_9","mag":"1579652636"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-642-31137-6_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31137-6_9","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":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030713810","display_name":"Jos\u00e9 L. Berenguel","orcid":null},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Jos\u00e9 L. Berenguel","raw_affiliation_strings":["TIC 146: Supercomputing-Algorithms Research Group, University of Almer\u00eda, Agrifood Campus of International Excellence (ceiA3), 04120, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"TIC 146: Supercomputing-Algorithms Research Group, University of Almer\u00eda, Agrifood Campus of International Excellence (ceiA3), 04120, Spain","institution_ids":["https://openalex.org/I52354020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5056739213","display_name":"L. G. Casado","orcid":"https://orcid.org/0000-0001-8459-4982"},"institutions":[{"id":"https://openalex.org/I52354020","display_name":"University of Almer\u00eda","ror":"https://ror.org/003d3xx08","country_code":"ES","type":"education","lineage":["https://openalex.org/I52354020"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Leocadio G. Casado","raw_affiliation_strings":["Department of Computer Architecture and Electronics, University of Almer\u00eda, Agrifood Campus of International Excellence (ceiA3), 04120, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Architecture and Electronics, University of Almer\u00eda, Agrifood Campus of International Excellence (ceiA3), 04120, Spain","institution_ids":["https://openalex.org/I52354020"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5065759704","display_name":"I. Garc\u00eda","orcid":"https://orcid.org/0000-0002-1138-2118"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"I. Garc\u00eda","raw_affiliation_strings":["Department of Computer Architecture, University of M\u00e1laga, Campus de Teatinos, 29017, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Architecture, University of M\u00e1laga, Campus de Teatinos, 29017, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049141591","display_name":"E.M.T. Hendrix","orcid":"https://orcid.org/0000-0003-1572-1436"},"institutions":[{"id":"https://openalex.org/I82767444","display_name":"Universidad de M\u00e1laga","ror":"https://ror.org/036b2ww28","country_code":"ES","type":"education","lineage":["https://openalex.org/I82767444"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Eligius M. T. Hendrix","raw_affiliation_strings":["Department of Computer Architecture, University of M\u00e1laga, Campus de Teatinos, 29017, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Architecture, University of M\u00e1laga, Campus de Teatinos, 29017, Spain","institution_ids":["https://openalex.org/I82767444"]}]},{"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":"F. Messine","raw_affiliation_strings":["ENSEEIHT-IRIT UMR-CNRS-5505, University of Toulouse, 2 rue Camichel, 31000, Toulouse, France"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"ENSEEIHT-IRIT UMR-CNRS-5505, University of Toulouse, 2 rue Camichel, 31000, Toulouse, 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":2,"institutions_distinct_count":5,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.16035378,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":null,"issue":null,"first_page":"119","last_page":"132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T11697","display_name":"Numerical Methods and Algorithms","score":1.0,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.9969000220298767,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"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/T11435","display_name":"Polynomial and algebraic computation","score":0.9909999966621399,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/separable-space","display_name":"Separable space","score":0.7821195125579834},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7458139061927795},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6187889575958252},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5892617106437683},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.538618266582489},{"id":"https://openalex.org/keywords/interval-arithmetic","display_name":"Interval arithmetic","score":0.5361886024475098},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5069799423217773},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.4331277906894684},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.4034693241119385},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3664305508136749},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36156153678894043},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35670989751815796},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.2795715928077698},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07770603895187378}],"concepts":[{"id":"https://openalex.org/C70710897","wikidata":"https://www.wikidata.org/wiki/Q680081","display_name":"Separable space","level":2,"score":0.7821195125579834},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7458139061927795},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6187889575958252},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5892617106437683},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.538618266582489},{"id":"https://openalex.org/C191252586","wikidata":"https://www.wikidata.org/wiki/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.5361886024475098},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5069799423217773},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.4331277906894684},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4034693241119385},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3664305508136749},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36156153678894043},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35670989751815796},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.2795715928077698},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07770603895187378},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"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/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-642-31137-6_9","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-642-31137-6_9","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:wur:oai:library.wur.nl:wurpubs/429582","is_oa":false,"landing_page_url":"https://research.wur.nl/en/publications/on-lower-bounds-using-additively-separable-terms-in-interval-bamp","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":"Proceedings of the 12th International Conference, 18-21 June 2012, Salvador de Bahia, Brazil, Proceedings Part III. Heidelberg: Springer","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":9,"referenced_works":["https://openalex.org/W1483874187","https://openalex.org/W1507872748","https://openalex.org/W1552026666","https://openalex.org/W1557638737","https://openalex.org/W1979608743","https://openalex.org/W2008806482","https://openalex.org/W2059334338","https://openalex.org/W2065013830","https://openalex.org/W2117356573"],"related_works":["https://openalex.org/W2520934858","https://openalex.org/W2990487117","https://openalex.org/W2012882356","https://openalex.org/W2098412892","https://openalex.org/W109635080","https://openalex.org/W4213384165","https://openalex.org/W2377262226","https://openalex.org/W2531534085","https://openalex.org/W4285295794","https://openalex.org/W2387705642"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
