{"id":"https://openalex.org/W4306406615","doi":"https://doi.org/10.3233/faia220309","title":"Approximate and Optimal Solutions for the Bipartite Polarization Problem","display_name":"Approximate and Optimal Solutions for the Bipartite Polarization Problem","publication_year":2022,"publication_date":"2022-10-17","ids":{"openalex":"https://openalex.org/W4306406615","doi":"https://doi.org/10.3233/faia220309"},"language":"en","primary_location":{"id":"doi:10.3233/faia220309","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia220309","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA220309","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA220309","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072458190","display_name":"Teresa Alsinet","orcid":"https://orcid.org/0000-0003-4594-5502"},"institutions":[{"id":"https://openalex.org/I15766328","display_name":"Universitat de Lleida","ror":"https://ror.org/050c3cw24","country_code":"ES","type":"education","lineage":["https://openalex.org/I15766328"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Teresa Alsinet","raw_affiliation_strings":["INSPIRES Research Center \u2013 University of Lleida, Jaume II, 69 \u2013 25001 Lleida, Spain","INSPIRES Research Centre, University of Lleida. C/Jaume II, 69. Lleida, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INSPIRES Research Center \u2013 University of Lleida, Jaume II, 69 \u2013 25001 Lleida, Spain","institution_ids":["https://openalex.org/I15766328"]},{"raw_affiliation_string":"INSPIRES Research Centre, University of Lleida. C/Jaume II, 69. Lleida, Spain","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5070784397","display_name":"Josep Argelich","orcid":"https://orcid.org/0000-0003-4089-6422"},"institutions":[{"id":"https://openalex.org/I15766328","display_name":"Universitat de Lleida","ror":"https://ror.org/050c3cw24","country_code":"ES","type":"education","lineage":["https://openalex.org/I15766328"]}],"countries":["ES"],"is_corresponding":true,"raw_author_name":"Josep Argelich","raw_affiliation_strings":["INSPIRES Research Center \u2013 University of Lleida, Jaume II, 69 \u2013 25001 Lleida, Spain","INSPIRES Research Centre, University of Lleida. C/Jaume II, 69. Lleida, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INSPIRES Research Center \u2013 University of Lleida, Jaume II, 69 \u2013 25001 Lleida, Spain","institution_ids":["https://openalex.org/I15766328"]},{"raw_affiliation_string":"INSPIRES Research Centre, University of Lleida. C/Jaume II, 69. Lleida, Spain","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5047023182","display_name":"Ram\u00f3n B\u00e9jar","orcid":"https://orcid.org/0000-0002-5208-685X"},"institutions":[{"id":"https://openalex.org/I15766328","display_name":"Universitat de Lleida","ror":"https://ror.org/050c3cw24","country_code":"ES","type":"education","lineage":["https://openalex.org/I15766328"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Ram\u00f3n B\u00e9jar","raw_affiliation_strings":["INSPIRES Research Center \u2013 University of Lleida, Jaume II, 69 \u2013 25001 Lleida, Spain","INSPIRES Research Centre, University of Lleida. C/Jaume II, 69. Lleida, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INSPIRES Research Center \u2013 University of Lleida, Jaume II, 69 \u2013 25001 Lleida, Spain","institution_ids":["https://openalex.org/I15766328"]},{"raw_affiliation_string":"INSPIRES Research Centre, University of Lleida. C/Jaume II, 69. Lleida, Spain","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5067031180","display_name":"Santi Mart\u00ednez","orcid":"https://orcid.org/0000-0002-1031-6522"},"institutions":[{"id":"https://openalex.org/I15766328","display_name":"Universitat de Lleida","ror":"https://ror.org/050c3cw24","country_code":"ES","type":"education","lineage":["https://openalex.org/I15766328"]}],"countries":["ES"],"is_corresponding":false,"raw_author_name":"Santi Mart\u00ednez","raw_affiliation_strings":["INSPIRES Research Center \u2013 University of Lleida, Jaume II, 69 \u2013 25001 Lleida, Spain","INSPIRES Research Centre, University of Lleida. C/Jaume II, 69. Lleida, Spain"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"INSPIRES Research Center \u2013 University of Lleida, Jaume II, 69 \u2013 25001 Lleida, Spain","institution_ids":["https://openalex.org/I15766328"]},{"raw_affiliation_string":"INSPIRES Research Centre, University of Lleida. C/Jaume II, 69. Lleida, Spain","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5070784397"],"corresponding_institution_ids":["https://openalex.org/I15766328"],"apc_list":null,"apc_paid":null,"fwci":0.7103,"has_fulltext":true,"cited_by_count":1,"citation_normalized_percentile":{"value":0.72405169,"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":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11499","display_name":"ICT Impact and Policies","score":0.9394000172615051,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11499","display_name":"ICT Impact and Policies","score":0.9394000172615051,"subfield":{"id":"https://openalex.org/subfields/2214","display_name":"Media Technology"},"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/T10557","display_name":"Social Media and Politics","score":0.9230999946594238,"subfield":{"id":"https://openalex.org/subfields/3315","display_name":"Communication"},"field":{"id":"https://openalex.org/fields/33","display_name":"Social Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.7632830739021301},{"id":"https://openalex.org/keywords/generalization","display_name":"Generalization","score":0.6055626273155212},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.52427077293396},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.523857593536377},{"id":"https://openalex.org/keywords/integer-programming","display_name":"Integer programming","score":0.5143674612045288},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4168879985809326},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3307631015777588},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3303585350513458},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3291431963443756}],"concepts":[{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.7632830739021301},{"id":"https://openalex.org/C177148314","wikidata":"https://www.wikidata.org/wiki/Q170084","display_name":"Generalization","level":2,"score":0.6055626273155212},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.52427077293396},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.523857593536377},{"id":"https://openalex.org/C56086750","wikidata":"https://www.wikidata.org/wiki/Q6042592","display_name":"Integer programming","level":2,"score":0.5143674612045288},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4168879985809326},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3307631015777588},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3303585350513458},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3291431963443756},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.3233/faia220309","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia220309","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA220309","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},{"id":"pmh:oai:repositori.udl.cat:10459.1/463181","is_oa":true,"landing_page_url":"https://repositori.udl.cat/handle/10459.1/463181","pdf_url":null,"source":{"id":"https://openalex.org/S4306400812","display_name":"Repositori ObertUDL (University of Lleida)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I15766328","host_organization_name":"Universitat de Lleida","host_organization_lineage":["https://openalex.org/I15766328"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"info:eu-repo/semantics/publishedVersion"}],"best_oa_location":{"id":"doi:10.3233/faia220309","is_oa":true,"landing_page_url":"https://doi.org/10.3233/faia220309","pdf_url":"https://ebooks.iospress.nl/pdf/doi/10.3233/FAIA220309","source":{"id":"https://openalex.org/S4210201731","display_name":"Frontiers in artificial intelligence and applications","issn_l":"0922-6389","issn":["0922-6389","1879-8314"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-nc","license_id":"https://openalex.org/licenses/cc-by-nc","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Frontiers in Artificial Intelligence and Applications","raw_type":"book-chapter"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.6700000166893005,"display_name":"Reduced inequalities"}],"awards":[{"id":"https://openalex.org/G2582382938","display_name":null,"funder_award_id":"723596","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G5264445637","display_name":null,"funder_award_id":"768824","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G7331872648","display_name":null,"funder_award_id":"814945","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"},{"id":"https://openalex.org/G8404342637","display_name":null,"funder_award_id":"764025","funder_id":"https://openalex.org/F4320320300","funder_display_name":"European Commission"}],"funders":[{"id":"https://openalex.org/F4320320300","display_name":"European Commission","ror":"https://ror.org/00k4n6c32"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4306406615.pdf","grobid_xml":"https://content.openalex.org/works/W4306406615.grobid-xml"},"referenced_works_count":7,"referenced_works":["https://openalex.org/W2042214415","https://openalex.org/W2123442489","https://openalex.org/W2411933627","https://openalex.org/W3023950925","https://openalex.org/W4200019157","https://openalex.org/W6805191259","https://openalex.org/W6810163194"],"related_works":["https://openalex.org/W2989925696","https://openalex.org/W3205099810","https://openalex.org/W2963675245","https://openalex.org/W2054383364","https://openalex.org/W2124354004","https://openalex.org/W2951336538","https://openalex.org/W2084961267","https://openalex.org/W4285056899","https://openalex.org/W2990042548","https://openalex.org/W2383794966"],"abstract_inverted_index":{"In":[0,76],"a":[1,6,15,22,54,64,106],"recent":[2],"work":[3],"we":[4,61,79,85],"introduced":[5,63],"problem":[7,48],"about":[8],"finding":[9,91],"the":[10,57,74,92,103,115,128,134,143],"highest":[11],"polarized":[12],"bipartition":[13,44],"on":[14,96,124],"weighted":[16],"and":[17,34,84,101],"labeled":[18],"graph":[19],"that":[20,49,121],"represents":[21],"debate":[23],"developed":[24],"trough":[25],"some":[26],"social":[27],"network,":[28],"where":[29],"nodes":[30],"represent":[31],"user\u2019s":[32],"opinions":[33],"edges":[35],"agreement":[36],"or":[37],"disagreement":[38],"between":[39],"users.":[40],"Finding":[41],"this":[42,77],"target":[43],"is":[45],"an":[46,87,97],"optimization":[47],"can":[50],"be":[51],"seen":[52],"as":[53],"generalization":[55],"of":[56,73,105,109,127],"maxcut":[58],"problem,":[59,129],"so":[60],"first":[62],"basic":[65],"local":[66,111],"search":[67,112],"algorithm":[68,89,113],"to":[69,142],"find":[70],"approximate":[71,135],"solutions":[72,136],"problem.":[75],"paper":[78],"go":[80],"one":[81],"step":[82],"further,":[83],"present":[86],"exact":[88,116],"for":[90],"optimal":[93,144],"solution,":[94],"based":[95],"integer":[98],"programming":[99],"formulation,":[100],"compare":[102],"performance":[104],"new":[107],"variant":[108],"our":[110],"with":[114],"algorithm.":[117],"Our":[118],"results":[119],"show":[120],"at":[122],"least":[123],"real":[125],"instances":[126],"obtained":[130,137],"from":[131],"Reddit":[132],"debates,":[133],"are":[138],"almost":[139],"always":[140],"identical":[141],"solutions.":[145]},"counts_by_year":[{"year":2024,"cited_by_count":1}],"updated_date":"2026-05-17T08:19:37.847499","created_date":"2025-10-10T00:00:00"}