{"id":"https://openalex.org/W7154740070","doi":"https://doi.org/10.48550/arxiv.2604.14205","title":"Consensus and Synchronization of Multi-agent Systems over Finite Fields -- Graph Topologies","display_name":"Consensus and Synchronization of Multi-agent Systems over Finite Fields -- Graph Topologies","publication_year":2026,"publication_date":"2026-04-03","ids":{"openalex":"https://openalex.org/W7154740070","doi":"https://doi.org/10.48550/arxiv.2604.14205"},"language":null,"primary_location":{"id":"doi:10.48550/arxiv.2604.14205","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.14205","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"type":"preprint","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.48550/arxiv.2604.14205","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5004644663","display_name":"Kristian Hengster\u2010Movric","orcid":"https://orcid.org/0000-0003-2532-3466"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Hengster-Movri\u0107, Kristian","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5133838261","display_name":"\u0160imon Lehk\u00fd","orcid":null},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Lehk\u00fd, \u0160imon","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5036304677","display_name":"Farnaz Adib Yaghmaie","orcid":"https://orcid.org/0000-0002-6665-5881"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Yaghmaie, Farnaz Adib","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"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/T10249","display_name":"Distributed Control Multi-Agent Systems","score":0.9589999914169312,"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":0.9589999914169312,"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/T12784","display_name":"Modular Robots and Swarm Intelligence","score":0.020899999886751175,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical Engineering"},"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.007300000172108412,"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/synchronization","display_name":"Synchronization (alternating current)","score":0.6288999915122986},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.5254999995231628},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.4163999855518341},{"id":"https://openalex.org/keywords/finite-set","display_name":"Finite set","score":0.40369999408721924},{"id":"https://openalex.org/keywords/construct","display_name":"Construct (python library)","score":0.3953999876976013},{"id":"https://openalex.org/keywords/directed-graph","display_name":"Directed graph","score":0.3610999882221222},{"id":"https://openalex.org/keywords/scalar","display_name":"Scalar (mathematics)","score":0.3564000129699707},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.3555999994277954}],"concepts":[{"id":"https://openalex.org/C2778562939","wikidata":"https://www.wikidata.org/wiki/Q1298791","display_name":"Synchronization (alternating current)","level":3,"score":0.6288999915122986},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5529000163078308},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.5254999995231628},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.4163999855518341},{"id":"https://openalex.org/C162392398","wikidata":"https://www.wikidata.org/wiki/Q272404","display_name":"Finite set","level":2,"score":0.40369999408721924},{"id":"https://openalex.org/C2780801425","wikidata":"https://www.wikidata.org/wiki/Q5164392","display_name":"Construct (python library)","level":2,"score":0.3953999876976013},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.38519999384880066},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3772999942302704},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3610999882221222},{"id":"https://openalex.org/C146380142","wikidata":"https://www.wikidata.org/wiki/Q1137726","display_name":"Directed graph","level":2,"score":0.3610999882221222},{"id":"https://openalex.org/C57691317","wikidata":"https://www.wikidata.org/wiki/Q1289248","display_name":"Scalar (mathematics)","level":2,"score":0.3564000129699707},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.3555999994277954},{"id":"https://openalex.org/C107107730","wikidata":"https://www.wikidata.org/wiki/Q2994424","display_name":"Consensus","level":3,"score":0.3278999924659729},{"id":"https://openalex.org/C77926391","wikidata":"https://www.wikidata.org/wiki/Q603880","display_name":"Finite field","level":2,"score":0.31779998540878296},{"id":"https://openalex.org/C192126672","wikidata":"https://www.wikidata.org/wiki/Q1068715","display_name":"Telecommunications network","level":2,"score":0.28110000491142273},{"id":"https://openalex.org/C12269588","wikidata":"https://www.wikidata.org/wiki/Q132364","display_name":"Communications protocol","level":2,"score":0.27790001034736633},{"id":"https://openalex.org/C88230418","wikidata":"https://www.wikidata.org/wiki/Q131476","display_name":"Graph theory","level":2,"score":0.27619999647140503},{"id":"https://openalex.org/C2780385302","wikidata":"https://www.wikidata.org/wiki/Q367158","display_name":"Protocol (science)","level":3,"score":0.267300009727478},{"id":"https://openalex.org/C38754835","wikidata":"https://www.wikidata.org/wiki/Q2003238","display_name":"Strongly connected component","level":2,"score":0.2671000063419342},{"id":"https://openalex.org/C2994516854","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Finite graph","level":3,"score":0.2583000063896179},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.2581999897956848},{"id":"https://openalex.org/C41550386","wikidata":"https://www.wikidata.org/wiki/Q529909","display_name":"Multi-agent system","level":2,"score":0.2551000118255615}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.48550/arxiv.2604.14205","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.14205","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"doi:10.48550/arxiv.2604.14205","is_oa":true,"landing_page_url":"https://doi.org/10.48550/arxiv.2604.14205","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":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":[],"abstract_inverted_index":{"This":[0],"paper":[1],"brings":[2],"cooperative":[3],"protocols":[4],"for":[5],"multi-agent":[6],"systems":[7,21,42],"with":[8,32],"agents":[9,31],"having":[10,26],"a":[11,27,38],"finite":[12,28,39],"state-space.":[13],"Both":[14],"scalar":[15],"single-integrator":[16],"consensus":[17],"and":[18,74],"general":[19],"LTI":[20],"synchronization":[22],"are":[23,43],"considered.":[24],"Systems":[25],"state-space":[29],"describe":[30],"minimal":[33],"memory":[34],"capacity":[35],"processing":[36],"only":[37],"alphabet.":[40],"Such":[41],"remarkably":[44],"resilient":[45],"to":[46,54,79],"communication":[47,58],"noise.":[48],"The":[49],"crucial":[50],"problem,":[51],"however,":[52],"is":[53,61],"construct":[55],"the":[56,69,81,85],"admissible":[57,72],"topology,":[59],"which":[60],"NP-hard.":[62],"We":[63],"address":[64],"this":[65],"by":[66],"efficiently":[67],"exploring":[68],"subsets":[70],"of":[71],"matrices":[73],"propose":[75],"two":[76],"new":[77],"algorithms":[78],"generate":[80],"topologies.":[82],"Simulations":[83],"validate":[84],"proposed":[86],"approach.":[87]},"counts_by_year":[],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2026-04-18T00:00:00"}