{"id":"https://openalex.org/W2560734175","doi":"https://doi.org/10.1109/tcss.2016.2628051","title":"Consensus and Polarization of Binary Opinions in Structurally Balanced Networks","display_name":"Consensus and Polarization of Binary Opinions in Structurally Balanced Networks","publication_year":2016,"publication_date":"2016-12-01","ids":{"openalex":"https://openalex.org/W2560734175","doi":"https://doi.org/10.1109/tcss.2016.2628051","mag":"2560734175"},"language":"en","primary_location":{"id":"doi:10.1109/tcss.2016.2628051","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcss.2016.2628051","pdf_url":null,"source":{"id":"https://openalex.org/S2490693980","display_name":"IEEE Transactions on Computational Social Systems","issn_l":"2329-924X","issn":["2329-924X","2373-7476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computational Social Systems","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/A5043136272","display_name":"Duan\u2010Shin Lee","orcid":"https://orcid.org/0000-0003-4578-2002"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Duan-Shin Lee","raw_affiliation_strings":["Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, National Tsing Hua University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5016945609","display_name":"Cheng\u2010Shang Chang","orcid":"https://orcid.org/0000-0002-5386-4756"},"institutions":[{"id":"https://openalex.org/I25846049","display_name":"National Tsing Hua University","ror":"https://ror.org/00zdnkx70","country_code":"TW","type":"education","lineage":["https://openalex.org/I25846049"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Cheng-Shang Chang","raw_affiliation_strings":["Department of Electrical Engineering, National Tsing Hua University, Hsinchu, Taiwan"],"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, National Tsing Hua University, Hsinchu, Taiwan","institution_ids":["https://openalex.org/I25846049"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100414166","display_name":"Ying Liu","orcid":"https://orcid.org/0009-0008-7603-7375"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Ying Liu","raw_affiliation_strings":["Premise Technology, Inc, Hsinchu, Taiwan"],"affiliations":[{"raw_affiliation_string":"Premise Technology, Inc, Hsinchu, Taiwan","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5043136272"],"corresponding_institution_ids":["https://openalex.org/I25846049"],"apc_list":null,"apc_paid":null,"fwci":1.3259,"has_fulltext":false,"cited_by_count":21,"citation_normalized_percentile":{"value":0.82262326,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"3","issue":"4","first_page":"141","last_page":"150"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12592","display_name":"Opinion Dynamics and Social Influence","score":1.0,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10064","display_name":"Complex Network Analysis Techniques","score":0.9980999827384949,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10557","display_name":"Social Media and Politics","score":0.9580000042915344,"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/rationality","display_name":"Rationality","score":0.6015695333480835},{"id":"https://openalex.org/keywords/markov-chain","display_name":"Markov chain","score":0.5030776858329773},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.4983043670654297},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4926651120185852},{"id":"https://openalex.org/keywords/markov-process","display_name":"Markov process","score":0.48317113518714905},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.483095645904541},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.475980669260025},{"id":"https://openalex.org/keywords/polarization","display_name":"Polarization (electrochemistry)","score":0.4272090792655945},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3638576865196228},{"id":"https://openalex.org/keywords/statistical-physics","display_name":"Statistical physics","score":0.3556230068206787},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3381164073944092},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3319638967514038},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.32696467638015747},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.13803470134735107},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.11172136664390564}],"concepts":[{"id":"https://openalex.org/C201717286","wikidata":"https://www.wikidata.org/wiki/Q938185","display_name":"Rationality","level":2,"score":0.6015695333480835},{"id":"https://openalex.org/C98763669","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov chain","level":2,"score":0.5030776858329773},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.4983043670654297},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4926651120185852},{"id":"https://openalex.org/C159886148","wikidata":"https://www.wikidata.org/wiki/Q176645","display_name":"Markov process","level":2,"score":0.48317113518714905},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.483095645904541},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.475980669260025},{"id":"https://openalex.org/C205049153","wikidata":"https://www.wikidata.org/wiki/Q2698605","display_name":"Polarization (electrochemistry)","level":2,"score":0.4272090792655945},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3638576865196228},{"id":"https://openalex.org/C121864883","wikidata":"https://www.wikidata.org/wiki/Q677916","display_name":"Statistical physics","level":1,"score":0.3556230068206787},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3381164073944092},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3319638967514038},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.32696467638015747},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.13803470134735107},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.11172136664390564},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.0},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"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/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C147789679","wikidata":"https://www.wikidata.org/wiki/Q11372","display_name":"Physical chemistry","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tcss.2016.2628051","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tcss.2016.2628051","pdf_url":null,"source":{"id":"https://openalex.org/S2490693980","display_name":"IEEE Transactions on Computational Social Systems","issn_l":"2329-924X","issn":["2329-924X","2373-7476"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computational Social Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.5400000214576721}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W19838944","https://openalex.org/W379337736","https://openalex.org/W934261879","https://openalex.org/W1559198035","https://openalex.org/W1843930136","https://openalex.org/W1980565545","https://openalex.org/W1980949197","https://openalex.org/W1997708476","https://openalex.org/W2019817112","https://openalex.org/W2053081145","https://openalex.org/W2058105398","https://openalex.org/W2062259223","https://openalex.org/W2075577372","https://openalex.org/W2080666242","https://openalex.org/W2087367859","https://openalex.org/W2088551674","https://openalex.org/W2103146267","https://openalex.org/W2108331388","https://openalex.org/W2134601553","https://openalex.org/W2137029365","https://openalex.org/W2138612631","https://openalex.org/W2241340194","https://openalex.org/W2751555667","https://openalex.org/W3125647857","https://openalex.org/W3142588439","https://openalex.org/W4243813765"],"related_works":["https://openalex.org/W4388260134","https://openalex.org/W2351341309","https://openalex.org/W2359095791","https://openalex.org/W2364973163","https://openalex.org/W2370332065","https://openalex.org/W2379651310","https://openalex.org/W2113019827","https://openalex.org/W1541249122","https://openalex.org/W2413828414","https://openalex.org/W2367222340"],"abstract_inverted_index":{"In":[0,19,60],"this":[1],"paper,":[2],"we":[3,171],"propose":[4],"a":[5,13,20,43,109,122,143,153,163,173,221,224],"new":[6],"model":[7],"for":[8,146,167,178,184],"binary":[9],"opinion":[10],"dynamics":[11],"in":[12,33,152],"(fully":[14],"connected)":[15],"structurally":[16,21],"balanced":[17,22],"network.":[18,237],"network,":[23],"agents":[24,32,65,77,100,151],"are":[25,40,66,198,208],"classified":[26],"into":[27],"two":[28,31,57,103],"clusters":[29],"and":[30,116,196,231],"the":[34,56,75,80,83,94,98,114,127,130,139,150,179,190,199,217,228,232,236],"same":[35,81],"cluster":[36],"(resp.":[37,45],"different":[38,104,159],"clusters)":[39],"connected":[41],"with":[42,53,106,117,126],"positive":[44],"negative)":[46],"edge.":[47],"Initially,":[48],"every":[49,61],"agent":[50],"is":[51,87,111,133],"assigned":[52],"one":[54],"of":[55,129,175,182,235],"opinions":[58,72,183],"randomly.":[59],"time":[62,214],"slot,":[63],"three":[64,76,99,131],"randomly":[67],"selected":[68],"to":[69,79,89,102,194],"have":[70],"their":[71,91],"updated.":[73],"If":[74],"belong":[78,101],"cluster,":[82],"majority":[84],"rule":[85],"(MR)":[86],"used":[88],"update":[90],"opinions.":[92,160],"On":[93],"other":[95,205],"hand,":[96],"if":[97],"clusters,":[105],"probability":[107,118,136,230],"p,":[108,121,137],"consensus":[110,195,222],"reached":[112],"by":[113],"MR,":[115],"1":[119],"-":[120],"polarization":[123,197],"(in":[124],"line":[125],"signs":[128],"edges)":[132],"reached.":[134],"The":[135],"called":[138],"rationality":[140,229],"probability,":[141],"plays":[142],"significant":[144],"role":[145],"measuring":[147],"how":[148],"rational":[149],"network":[154,218],"behave":[155],"when":[156],"they":[157],"encounter":[158],"By":[161],"applying":[162],"fluid":[164],"limit":[165],"theorem":[166],"jump":[168],"Markov":[169],"processes,":[170],"derive":[172],"system":[174],"differential":[176],"equations":[177],"density":[180],"functions":[181],"large":[185],"networks.":[186],"We":[187],"show":[188],"that":[189],"equilibrium":[191,202,206],"points":[192,207],"corresponding":[193],"only":[200],"stable":[201],"points.":[203],"All":[204],"all":[209],"unstable.":[210],"As":[211],"such,":[212],"as":[213],"goes":[215],"on,":[216],"eventually":[219],"reaches":[220],"or":[223],"polarization,":[225],"depending":[226],"on":[227],"initial":[233],"state":[234]},"counts_by_year":[{"year":2024,"cited_by_count":5},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":3},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":3},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
