{"id":"https://openalex.org/W4408549657","doi":"https://doi.org/10.1007/s11063-025-11717-1","title":"Bipartite Consensus in Multi-agent Systems: A Node Decomposition Approach for Privacy Preservation","display_name":"Bipartite Consensus in Multi-agent Systems: A Node Decomposition Approach for Privacy Preservation","publication_year":2025,"publication_date":"2025-03-18","ids":{"openalex":"https://openalex.org/W4408549657","doi":"https://doi.org/10.1007/s11063-025-11717-1"},"language":"en","primary_location":{"id":"doi:10.1007/s11063-025-11717-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-025-11717-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11063-025-11717-1.pdf","source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"hybrid","oa_url":"https://link.springer.com/content/pdf/10.1007/s11063-025-11717-1.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5075401569","display_name":"Yaqi Wang","orcid":"https://orcid.org/0000-0002-5495-0314"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yaqi Wang","raw_affiliation_strings":["School of Engineering, Qufu Normal University, Rizhao, 276826, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering, Qufu Normal University, Rizhao, 276826, China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101905592","display_name":"Yuhong Zhang","orcid":"https://orcid.org/0000-0003-2920-3293"},"institutions":[{"id":"https://openalex.org/I202126657","display_name":"Qufu Normal University","ror":"https://ror.org/03ceheh96","country_code":"CN","type":"education","lineage":["https://openalex.org/I202126657"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yuhong Zhang","raw_affiliation_strings":["School of Engineering, Qufu Normal University, Rizhao, 276826, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Engineering, Qufu Normal University, Rizhao, 276826, China","institution_ids":["https://openalex.org/I202126657"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5049482611","display_name":"Jianquan Lu","orcid":"https://orcid.org/0000-0003-4423-6034"},"institutions":[{"id":"https://openalex.org/I76569877","display_name":"Southeast University","ror":"https://ror.org/04ct4d772","country_code":"CN","type":"education","lineage":["https://openalex.org/I76569877"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jianquan Lu","raw_affiliation_strings":["School of Mathematics, Southeast University, Nanjing, 210096, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southeast University, Nanjing, 210096, China","institution_ids":["https://openalex.org/I76569877"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5101396995","display_name":"Jie Zhong","orcid":"https://orcid.org/0000-0001-9189-7439"},"institutions":[{"id":"https://openalex.org/I135237710","display_name":"Zhejiang Normal University","ror":"https://ror.org/01vevwk45","country_code":"CN","type":"education","lineage":["https://openalex.org/I135237710"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Jie Zhong","raw_affiliation_strings":["School of Mathematics Science, Zhejiang Normal University, Jinhua, 321004, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics Science, Zhejiang Normal University, Jinhua, 321004, China","institution_ids":["https://openalex.org/I135237710"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5031896168","display_name":"Bowen Li","orcid":"https://orcid.org/0000-0002-3269-2529"},"institutions":[{"id":"https://openalex.org/I41198531","display_name":"Nanjing University of Posts and Telecommunications","ror":"https://ror.org/043bpky34","country_code":"CN","type":"education","lineage":["https://openalex.org/I41198531"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Bowen Li","raw_affiliation_strings":["School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, 210023, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Nanjing University of Posts and Telecommunications, Nanjing, 210023, China","institution_ids":["https://openalex.org/I41198531"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5031896168"],"corresponding_institution_ids":["https://openalex.org/I41198531"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":{"value":2390,"currency":"EUR","value_usd":2990},"fwci":3.2674,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.91512234,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":96,"max":97},"biblio":{"volume":"57","issue":"2","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9995999932289124,"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"}},"topics":[{"id":"https://openalex.org/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9995999932289124,"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"}},{"id":"https://openalex.org/T10764","display_name":"Privacy-Preserving Technologies in Data","score":0.998199999332428,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/T10927","display_name":"Access Control and Trust","score":0.9943000078201294,"subfield":{"id":"https://openalex.org/subfields/3312","display_name":"Sociology and Political Science"},"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/computational-intelligence","display_name":"Computational intelligence","score":0.7111765146255493},{"id":"https://openalex.org/keywords/bipartite-graph","display_name":"Bipartite graph","score":0.6604341864585876},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.6178430318832397},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5649094581604004},{"id":"https://openalex.org/keywords/multi-agent-system","display_name":"Multi-agent system","score":0.51152503490448},{"id":"https://openalex.org/keywords/decomposition","display_name":"Decomposition","score":0.4583631455898285},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3545432984828949},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.3245909512042999},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.31162118911743164},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.10159814357757568},{"id":"https://openalex.org/keywords/biology","display_name":"Biology","score":0.07387465238571167}],"concepts":[{"id":"https://openalex.org/C139502532","wikidata":"https://www.wikidata.org/wiki/Q1122090","display_name":"Computational intelligence","level":2,"score":0.7111765146255493},{"id":"https://openalex.org/C197657726","wikidata":"https://www.wikidata.org/wiki/Q174733","display_name":"Bipartite graph","level":3,"score":0.6604341864585876},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.6178430318832397},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5649094581604004},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.51152503490448},{"id":"https://openalex.org/C124681953","wikidata":"https://www.wikidata.org/wiki/Q339062","display_name":"Decomposition","level":2,"score":0.4583631455898285},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3545432984828949},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.3245909512042999},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.31162118911743164},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.10159814357757568},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.07387465238571167},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C18903297","wikidata":"https://www.wikidata.org/wiki/Q7150","display_name":"Ecology","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s11063-025-11717-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-025-11717-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11063-025-11717-1.pdf","source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"}],"best_oa_location":{"id":"doi:10.1007/s11063-025-11717-1","is_oa":true,"landing_page_url":"https://doi.org/10.1007/s11063-025-11717-1","pdf_url":"https://link.springer.com/content/pdf/10.1007/s11063-025-11717-1.pdf","source":{"id":"https://openalex.org/S140962798","display_name":"Neural Processing Letters","issn_l":"1370-4621","issn":["1370-4621","1573-773X"],"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":"cc-by-nc-nd","license_id":"https://openalex.org/licenses/cc-by-nc-nd","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Neural Processing Letters","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G6353733112","display_name":null,"funder_award_id":"62103230","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G824738660","display_name":null,"funder_award_id":"ZR2021QF102","funder_id":"https://openalex.org/F4320324174","funder_display_name":"Natural Science Foundation of Shandong Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320324174","display_name":"Natural Science Foundation of Shandong Province","ror":null}],"has_content":{"grobid_xml":false,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W4408549657.pdf"},"referenced_works_count":33,"referenced_works":["https://openalex.org/W1967509640","https://openalex.org/W2023500683","https://openalex.org/W2030101797","https://openalex.org/W2107396783","https://openalex.org/W2145554346","https://openalex.org/W2184891559","https://openalex.org/W2580802338","https://openalex.org/W2789372517","https://openalex.org/W2792700081","https://openalex.org/W2890784875","https://openalex.org/W2901783811","https://openalex.org/W2910801803","https://openalex.org/W2916583047","https://openalex.org/W2922345907","https://openalex.org/W2962775700","https://openalex.org/W2964008526","https://openalex.org/W2972706695","https://openalex.org/W3096166287","https://openalex.org/W3165210207","https://openalex.org/W3172426788","https://openalex.org/W3206012509","https://openalex.org/W4206270882","https://openalex.org/W4206556022","https://openalex.org/W4212920076","https://openalex.org/W4226044234","https://openalex.org/W4226371328","https://openalex.org/W4285164525","https://openalex.org/W4288726316","https://openalex.org/W4312601539","https://openalex.org/W4324116349","https://openalex.org/W4385194716","https://openalex.org/W4386443430","https://openalex.org/W4390493123"],"related_works":["https://openalex.org/W2371352078","https://openalex.org/W2953461625","https://openalex.org/W2077383796","https://openalex.org/W2080136900","https://openalex.org/W2999799752","https://openalex.org/W2372768926","https://openalex.org/W2054458431","https://openalex.org/W2115167491","https://openalex.org/W2567825307","https://openalex.org/W3013576436"],"abstract_inverted_index":{"The":[0,158],"consensus":[1],"control":[2],"protocol":[3],"of":[4,25,61,69,93,111,120,140,160],"the":[5,16,23,26,41,48,62,67,70,77,88,94,108,112,118,125,138,155,161],"cooperative-competitive":[6],"network":[7],"requires":[8],"nodes":[9],"to":[10,15,22,124],"transmit":[11],"their":[12],"own":[13],"information":[14,43,49],"rival":[17],"group,":[18],"which":[19,38],"is":[20,80,164],"detrimental":[21],"security":[24],"information.":[27],"In":[28],"this":[29,86],"paper,":[30],"we":[31,134],"propose":[32],"a":[33,141,152,167],"novel":[34],"node":[35,72,142],"decomposition":[36],"mechanism,":[37],"can":[39,101,143],"prevent":[40],"state":[42,127],"from":[44],"being":[45],"revealed":[46],"during":[47],"exchange":[50],"for":[51],"multi-agent":[52],"systems":[53],"with":[54,73],"antagonistic":[55,83],"interactions.":[56,84],"For":[57],"each":[58],"node,":[59],"one":[60,79],"two":[63,113],"subnodes":[64,114,122],"takes":[65],"over":[66],"role":[68],"primitive":[71],"cooperative":[74],"neighbors,":[75],"and":[76,90,147],"other":[78],"involved":[81],"in":[82,154],"Under":[85],"method,":[87],"connectivity":[89],"structurally":[91],"balanced":[92],"system":[95],"are":[96,115],"not":[97],"changed,":[98],"so":[99],"it":[100,150],"still":[102],"achieve":[103],"bipartite":[104,131],"consensus.":[105,132],"Besides,":[106],"although":[107],"initial":[109],"values":[110],"chosen":[116],"randomly,":[117],"average":[119],"these":[121],"corresponds":[123],"original":[126],"value,":[128],"ensuring":[129],"precise":[130],"Moreover,":[133],"also":[135],"prove":[136],"that":[137],"privacy":[139],"be":[144],"guaranteed":[145],"if":[146,149],"only":[148],"has":[151],"neighbor":[153],"same":[156],"group.":[157],"effectiveness":[159],"proposed":[162],"approach":[163],"demonstrated":[165],"by":[166],"numerical":[168],"example.":[169]},"counts_by_year":[{"year":2025,"cited_by_count":3}],"updated_date":"2026-06-13T06:13:01.061226","created_date":"2025-10-10T00:00:00"}