{"id":"https://openalex.org/W2997261648","doi":"https://doi.org/10.1007/s10107-020-01607-w","title":"Submodular function minimization and polarity","display_name":"Submodular function minimization and polarity","publication_year":2021,"publication_date":"2021-01-28","ids":{"openalex":"https://openalex.org/W2997261648","doi":"https://doi.org/10.1007/s10107-020-01607-w","mag":"2997261648"},"language":"en","primary_location":{"id":"doi:10.1007/s10107-020-01607-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-020-01607-w","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},"type":"preprint","indexed_in":["arxiv","crossref","datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1912.13238","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5008007328","display_name":"Alper Atamt\u00fcrk","orcid":"https://orcid.org/0000-0003-1220-808X"},"institutions":[{"id":"https://openalex.org/I95457486","display_name":"University of California, Berkeley","ror":"https://ror.org/01an7q238","country_code":"US","type":"education","lineage":["https://openalex.org/I95457486"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Alper Atamt\u00fcrk","raw_affiliation_strings":["Department of Industrial Engineering and Operations Research, University of California, Berkeley, CA, 94720-1777, USA","University of California\u2013Berkeley"],"affiliations":[{"raw_affiliation_string":"Department of Industrial Engineering and Operations Research, University of California, Berkeley, CA, 94720-1777, USA","institution_ids":["https://openalex.org/I95457486"]},{"raw_affiliation_string":"University of California\u2013Berkeley","institution_ids":["https://openalex.org/I95457486"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5084488825","display_name":"Vishnu Narayanan","orcid":null},"institutions":[{"id":"https://openalex.org/I162827531","display_name":"Indian Institute of Technology Bombay","ror":"https://ror.org/02qyf5152","country_code":"IN","type":"education","lineage":["https://openalex.org/I162827531"]}],"countries":["IN"],"is_corresponding":false,"raw_author_name":"Vishnu Narayanan","raw_affiliation_strings":["Industrial Engineering and Operations Research, Indian Institute of Technology Bombay, Mumbai, 400076, India","Indian Institute of Technology Bombay"],"affiliations":[{"raw_affiliation_string":"Industrial Engineering and Operations Research, Indian Institute of Technology Bombay, Mumbai, 400076, India","institution_ids":["https://openalex.org/I162827531"]},{"raw_affiliation_string":"Indian Institute of Technology Bombay","institution_ids":["https://openalex.org/I162827531"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008007328"],"corresponding_institution_ids":["https://openalex.org/I95457486"],"apc_list":{"value":2190,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.1508,"has_fulltext":false,"cited_by_count":5,"citation_normalized_percentile":{"value":0.46270119,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"196","issue":"1-2","first_page":"57","last_page":"67"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9997000098228455,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9904999732971191,"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/T12288","display_name":"Optimization and Search Problems","score":0.9868999719619751,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/epigraph","display_name":"Epigraph","score":0.9628385305404663},{"id":"https://openalex.org/keywords/submodular-set-function","display_name":"Submodular set function","score":0.9620676040649414},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.591239333152771},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5816623568534851},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.5554757118225098},{"id":"https://openalex.org/keywords/relaxation","display_name":"Relaxation (psychology)","score":0.4965112805366516},{"id":"https://openalex.org/keywords/directional-derivative","display_name":"Directional derivative","score":0.496041864156723},{"id":"https://openalex.org/keywords/polarity","display_name":"Polarity (international relations)","score":0.47389498353004456},{"id":"https://openalex.org/keywords/minification","display_name":"Minification","score":0.4362289309501648},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4263479709625244},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.38374796509742737},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.37566083669662476},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.314400315284729},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2584531903266907},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1227019727230072}],"concepts":[{"id":"https://openalex.org/C17192189","wikidata":"https://www.wikidata.org/wiki/Q1347059","display_name":"Epigraph","level":2,"score":0.9628385305404663},{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.9620676040649414},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.591239333152771},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5816623568534851},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.5554757118225098},{"id":"https://openalex.org/C2776029896","wikidata":"https://www.wikidata.org/wiki/Q3935810","display_name":"Relaxation (psychology)","level":2,"score":0.4965112805366516},{"id":"https://openalex.org/C2011187","wikidata":"https://www.wikidata.org/wiki/Q383851","display_name":"Directional derivative","level":2,"score":0.496041864156723},{"id":"https://openalex.org/C2777361361","wikidata":"https://www.wikidata.org/wiki/Q1112585","display_name":"Polarity (international relations)","level":3,"score":0.47389498353004456},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.4362289309501648},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4263479709625244},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.38374796509742737},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.37566083669662476},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.314400315284729},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2584531903266907},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1227019727230072},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C1491633281","wikidata":"https://www.wikidata.org/wiki/Q7868","display_name":"Cell","level":2,"score":0.0},{"id":"https://openalex.org/C15744967","wikidata":"https://www.wikidata.org/wiki/Q9418","display_name":"Psychology","level":0,"score":0.0},{"id":"https://openalex.org/C77805123","wikidata":"https://www.wikidata.org/wiki/Q161272","display_name":"Social psychology","level":1,"score":0.0},{"id":"https://openalex.org/C54355233","wikidata":"https://www.wikidata.org/wiki/Q7162","display_name":"Genetics","level":1,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s10107-020-01607-w","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10107-020-01607-w","pdf_url":null,"source":{"id":"https://openalex.org/S193920097","display_name":"Mathematical Programming","issn_l":"0025-5610","issn":["0025-5610","1436-4646"],"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":"Mathematical Programming","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1912.13238","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.13238","pdf_url":"https://arxiv.org/pdf/1912.13238","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},{"id":"mag:2997261648","is_oa":true,"landing_page_url":"https://arxiv.org/pdf/1912.13238v1","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"arXiv (Cornell University)","raw_type":null},{"id":"doi:10.48550/arxiv.1912.13238","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.1912.13238","pdf_url":null,"source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1912.13238","is_oa":true,"landing_page_url":"http://arxiv.org/abs/1912.13238","pdf_url":"https://arxiv.org/pdf/1912.13238","source":{"id":"https://openalex.org/S4306400194","display_name":"arXiv (Cornell University)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":31,"referenced_works":["https://openalex.org/W88459763","https://openalex.org/W1498671329","https://openalex.org/W1604158939","https://openalex.org/W1680189815","https://openalex.org/W1968143987","https://openalex.org/W1978686733","https://openalex.org/W1989801809","https://openalex.org/W1997783781","https://openalex.org/W2012329067","https://openalex.org/W2035575256","https://openalex.org/W2036948347","https://openalex.org/W2050511894","https://openalex.org/W2053381548","https://openalex.org/W2053930851","https://openalex.org/W2064933851","https://openalex.org/W2090739911","https://openalex.org/W2109974898","https://openalex.org/W2128059732","https://openalex.org/W2161413792","https://openalex.org/W2258857078","https://openalex.org/W2413913460","https://openalex.org/W2505968561","https://openalex.org/W2585536612","https://openalex.org/W2616750249","https://openalex.org/W2768937018","https://openalex.org/W2797572905","https://openalex.org/W2964298566","https://openalex.org/W2988480584","https://openalex.org/W3010469363","https://openalex.org/W3118655244","https://openalex.org/W6600336938"],"related_works":["https://openalex.org/W3080151152","https://openalex.org/W2225255577","https://openalex.org/W2049688189","https://openalex.org/W2402495007","https://openalex.org/W2035186046","https://openalex.org/W2740522349","https://openalex.org/W2088338060","https://openalex.org/W2552456585","https://openalex.org/W2094599579","https://openalex.org/W3021881116","https://openalex.org/W2891455198","https://openalex.org/W1660640347","https://openalex.org/W2068054962","https://openalex.org/W1983962178","https://openalex.org/W1510457474","https://openalex.org/W391112156","https://openalex.org/W2367246787","https://openalex.org/W1964180211","https://openalex.org/W1565229699","https://openalex.org/W109366684"],"abstract_inverted_index":null,"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}