{"id":"https://openalex.org/W158443401","doi":"https://doi.org/10.1007/978-3-662-44900-4_8","title":"A Comparison of Pareto Sets and Jacobi Sets","display_name":"A Comparison of Pareto Sets and Jacobi Sets","publication_year":2014,"publication_date":"2014-11-03","ids":{"openalex":"https://openalex.org/W158443401","doi":"https://doi.org/10.1007/978-3-662-44900-4_8","mag":"158443401"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-662-44900-4_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-44900-4_8","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Visualization","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/A5085509176","display_name":"Lars Huettenberger","orcid":null},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Lars Huettenberger","raw_affiliation_strings":["University of Kaiserslautern, Kaiserslautern, Germany"],"affiliations":[{"raw_affiliation_string":"University of Kaiserslautern, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5071898071","display_name":"Christoph Garth","orcid":"https://orcid.org/0000-0003-1669-8549"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Christoph Garth","raw_affiliation_strings":["University of Kaiserslautern, Kaiserslautern, Germany"],"affiliations":[{"raw_affiliation_string":"University of Kaiserslautern, Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5085509176"],"corresponding_institution_ids":["https://openalex.org/I153267046"],"apc_list":null,"apc_paid":null,"fwci":1.6017,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.82152178,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"125","last_page":"141"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9970999956130981,"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/T12536","display_name":"Topological and Geometric Data Analysis","score":0.9970999956130981,"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/T10531","display_name":"Advanced Vision and Imaging","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/T10799","display_name":"Data Visualization and Analytics","score":0.9722999930381775,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"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/pareto-principle","display_name":"Pareto principle","score":0.7028638124465942},{"id":"https://openalex.org/keywords/equivalence","display_name":"Equivalence (formal languages)","score":0.6195312738418579},{"id":"https://openalex.org/keywords/topological-data-analysis","display_name":"Topological data analysis","score":0.5661307573318481},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.5103098750114441},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4845987558364868},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.4698561429977417},{"id":"https://openalex.org/keywords/morse-code","display_name":"Morse code","score":0.45151686668395996},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.43707039952278137},{"id":"https://openalex.org/keywords/multi-objective-optimization","display_name":"Multi-objective optimization","score":0.42387065291404724},{"id":"https://openalex.org/keywords/morse-theory","display_name":"Morse theory","score":0.41453471779823303},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4046466648578644},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.38030195236206055},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.35345935821533203},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.29068896174430847},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.21387624740600586},{"id":"https://openalex.org/keywords/geography","display_name":"Geography","score":0.15108871459960938},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.130141943693161}],"concepts":[{"id":"https://openalex.org/C137635306","wikidata":"https://www.wikidata.org/wiki/Q182667","display_name":"Pareto principle","level":2,"score":0.7028638124465942},{"id":"https://openalex.org/C2780069185","wikidata":"https://www.wikidata.org/wiki/Q7977945","display_name":"Equivalence (formal languages)","level":2,"score":0.6195312738418579},{"id":"https://openalex.org/C2776477805","wikidata":"https://www.wikidata.org/wiki/Q4460773","display_name":"Topological data analysis","level":2,"score":0.5661307573318481},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.5103098750114441},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4845987558364868},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.4698561429977417},{"id":"https://openalex.org/C140031139","wikidata":"https://www.wikidata.org/wiki/Q79897","display_name":"Morse code","level":2,"score":0.45151686668395996},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.43707039952278137},{"id":"https://openalex.org/C68781425","wikidata":"https://www.wikidata.org/wiki/Q2052203","display_name":"Multi-objective optimization","level":2,"score":0.42387065291404724},{"id":"https://openalex.org/C156730297","wikidata":"https://www.wikidata.org/wiki/Q2296951","display_name":"Morse theory","level":2,"score":0.41453471779823303},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4046466648578644},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.38030195236206055},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.35345935821533203},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.29068896174430847},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.21387624740600586},{"id":"https://openalex.org/C205649164","wikidata":"https://www.wikidata.org/wiki/Q1071","display_name":"Geography","level":0,"score":0.15108871459960938},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.130141943693161},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-662-44900-4_8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-662-44900-4_8","pdf_url":null,"source":{"id":"https://openalex.org/S4210191043","display_name":"Mathematics and visualization","issn_l":"1612-3786","issn":["1612-3786","2197-666X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Mathematics and Visualization","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":33,"referenced_works":["https://openalex.org/W33450621","https://openalex.org/W122634711","https://openalex.org/W430125058","https://openalex.org/W655089096","https://openalex.org/W1495289488","https://openalex.org/W1532369809","https://openalex.org/W1567502308","https://openalex.org/W1601859143","https://openalex.org/W1992135843","https://openalex.org/W1998678324","https://openalex.org/W1999616998","https://openalex.org/W2012583548","https://openalex.org/W2020374487","https://openalex.org/W2031993264","https://openalex.org/W2075157818","https://openalex.org/W2104451730","https://openalex.org/W2105242901","https://openalex.org/W2106275081","https://openalex.org/W2107746850","https://openalex.org/W2121610087","https://openalex.org/W2128495311","https://openalex.org/W2131042673","https://openalex.org/W2135446434","https://openalex.org/W2141069751","https://openalex.org/W2162205142","https://openalex.org/W2165201154","https://openalex.org/W2166334656","https://openalex.org/W2169166445","https://openalex.org/W2184173110","https://openalex.org/W2296319761","https://openalex.org/W3141149520","https://openalex.org/W4242941169","https://openalex.org/W4246275161"],"related_works":["https://openalex.org/W1595332435","https://openalex.org/W2548670722","https://openalex.org/W3084339456","https://openalex.org/W1976948755","https://openalex.org/W2182193748","https://openalex.org/W1966769279","https://openalex.org/W2037435271","https://openalex.org/W2047313820","https://openalex.org/W2208124994","https://openalex.org/W1482643998"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
