{"id":"https://openalex.org/W2005103485","doi":"https://doi.org/10.1007/s10601-007-9037-5","title":"Minimization of Locally Defined Submodular Functions by Optimal Soft Arc Consistency","display_name":"Minimization of Locally Defined Submodular Functions by Optimal Soft Arc Consistency","publication_year":2008,"publication_date":"2008-02-20","ids":{"openalex":"https://openalex.org/W2005103485","doi":"https://doi.org/10.1007/s10601-007-9037-5","mag":"2005103485"},"language":"en","primary_location":{"id":"doi:10.1007/s10601-007-9037-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10601-007-9037-5","pdf_url":null,"source":{"id":"https://openalex.org/S75534514","display_name":"Constraints","issn_l":"1383-7133","issn":["1383-7133","1572-9354"],"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":"Constraints","raw_type":"journal-article"},"type":"article","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/A5004558530","display_name":"Martin Cooper","orcid":"https://orcid.org/0000-0003-4853-053X"},"institutions":[{"id":"https://openalex.org/I17866349","display_name":"Universit\u00e9 F\u00e9d\u00e9rale de Toulouse Midi-Pyr\u00e9n\u00e9es","ror":"https://ror.org/004raaa70","country_code":"FR","type":"education","lineage":["https://openalex.org/I17866349"]},{"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/I4387153255","https://openalex.org/I4405258862","https://openalex.org/I4405258862"]},{"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","https://openalex.org/I4405258862"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Martin C. Cooper","raw_affiliation_strings":["IRIT, University of Toulouse III, 31062, Toulouse, France","IRIT, University of Toulouse III, Toulouse, France 31062#TAB#"],"affiliations":[{"raw_affiliation_string":"IRIT, University of Toulouse III, 31062, Toulouse, France","institution_ids":["https://openalex.org/I134560555","https://openalex.org/I4210119061"]},{"raw_affiliation_string":"IRIT, University of Toulouse III, Toulouse, France 31062#TAB#","institution_ids":["https://openalex.org/I17866349","https://openalex.org/I134560555","https://openalex.org/I4210119061"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5004558530"],"corresponding_institution_ids":["https://openalex.org/I134560555","https://openalex.org/I17866349","https://openalex.org/I4210119061"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":5.3507,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.9543416,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"13","issue":"4","first_page":"437","last_page":"458"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9995999932289124,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9995999932289124,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9995999932289124,"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/T10996","display_name":"Computational Geometry and Mesh Generation","score":0.9914000034332275,"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/submodular-set-function","display_name":"Submodular set function","score":0.9581928253173828},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6031002998352051},{"id":"https://openalex.org/keywords/consistency","display_name":"Consistency (knowledge bases)","score":0.5710614919662476},{"id":"https://openalex.org/keywords/local-consistency","display_name":"Local consistency","score":0.5681425333023071},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.5601173043251038},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5202777981758118},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.48723235726356506},{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.4849531948566437},{"id":"https://openalex.org/keywords/constraint-satisfaction-problem","display_name":"Constraint satisfaction problem","score":0.34600698947906494},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.26731759309768677}],"concepts":[{"id":"https://openalex.org/C178621042","wikidata":"https://www.wikidata.org/wiki/Q7631710","display_name":"Submodular set function","level":2,"score":0.9581928253173828},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6031002998352051},{"id":"https://openalex.org/C2776436953","wikidata":"https://www.wikidata.org/wiki/Q5163215","display_name":"Consistency (knowledge bases)","level":2,"score":0.5710614919662476},{"id":"https://openalex.org/C137105694","wikidata":"https://www.wikidata.org/wiki/Q3407510","display_name":"Local consistency","level":4,"score":0.5681425333023071},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.5601173043251038},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5202777981758118},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.48723235726356506},{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.4849531948566437},{"id":"https://openalex.org/C199622910","wikidata":"https://www.wikidata.org/wiki/Q1128326","display_name":"Constraint satisfaction problem","level":3,"score":0.34600698947906494},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26731759309768677},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","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/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/s10601-007-9037-5","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s10601-007-9037-5","pdf_url":null,"source":{"id":"https://openalex.org/S75534514","display_name":"Constraints","issn_l":"1383-7133","issn":["1383-7133","1572-9354"],"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":"Constraints","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.138.7134","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.138.7134","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://ai.uwaterloo.ca/~vanbeek/Constraints/Papers/Cooper08.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":58,"referenced_works":["https://openalex.org/W7070610","https://openalex.org/W47957325","https://openalex.org/W88635354","https://openalex.org/W389907844","https://openalex.org/W612917828","https://openalex.org/W1507924438","https://openalex.org/W1528090900","https://openalex.org/W1558184472","https://openalex.org/W1571873445","https://openalex.org/W1595648220","https://openalex.org/W1835647349","https://openalex.org/W1867287748","https://openalex.org/W1886770168","https://openalex.org/W1960236202","https://openalex.org/W1965377399","https://openalex.org/W1974691224","https://openalex.org/W1976533903","https://openalex.org/W1984448896","https://openalex.org/W1992586477","https://openalex.org/W2000478304","https://openalex.org/W2011617423","https://openalex.org/W2012329067","https://openalex.org/W2015429465","https://openalex.org/W2016639451","https://openalex.org/W2021902776","https://openalex.org/W2022049946","https://openalex.org/W2025319967","https://openalex.org/W2026753685","https://openalex.org/W2035575256","https://openalex.org/W2040102827","https://openalex.org/W2043525538","https://openalex.org/W2074078071","https://openalex.org/W2084041193","https://openalex.org/W2088221897","https://openalex.org/W2089683553","https://openalex.org/W2090359754","https://openalex.org/W2090795232","https://openalex.org/W2111739159","https://openalex.org/W2116407296","https://openalex.org/W2117290960","https://openalex.org/W2128059732","https://openalex.org/W2129023820","https://openalex.org/W2132104546","https://openalex.org/W2134850460","https://openalex.org/W2135414191","https://openalex.org/W2144306116","https://openalex.org/W2150339067","https://openalex.org/W2168016267","https://openalex.org/W2337098149","https://openalex.org/W2585238812","https://openalex.org/W3105291062","https://openalex.org/W3171580098","https://openalex.org/W4211037896","https://openalex.org/W4230754665","https://openalex.org/W6600284968","https://openalex.org/W6603509372","https://openalex.org/W6613484142","https://openalex.org/W6703462244"],"related_works":["https://openalex.org/W2118249115","https://openalex.org/W2569549435","https://openalex.org/W2091348864","https://openalex.org/W1592998112","https://openalex.org/W2784687883","https://openalex.org/W4303044088","https://openalex.org/W96881443","https://openalex.org/W2216566009","https://openalex.org/W1510768092","https://openalex.org/W2611003898"],"abstract_inverted_index":null,"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2012,"cited_by_count":4}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}