{"id":"https://openalex.org/W2068834446","doi":"https://doi.org/10.1109/tac.2014.2342071","title":"An Upper Bound on the Convergence Time for Quantized Consensus of Arbitrary Static Graphs","display_name":"An Upper Bound on the Convergence Time for Quantized Consensus of Arbitrary Static Graphs","publication_year":2014,"publication_date":"2014-07-23","ids":{"openalex":"https://openalex.org/W2068834446","doi":"https://doi.org/10.1109/tac.2014.2342071","mag":"2068834446"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2014.2342071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2342071","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},"type":"article","indexed_in":["arxiv","crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://arxiv.org/pdf/1409.6828","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5065104731","display_name":"Shang Shang","orcid":"https://orcid.org/0009-0001-7596-3018"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Shang Shang","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, U.S.A","Dept. of Electr. Eng., Princeton Univ., Princeton, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, U.S.A","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Princeton Univ., Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5026048440","display_name":"Paul Cuff","orcid":"https://orcid.org/0000-0003-2936-9939"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["HK","US"],"is_corresponding":false,"raw_author_name":"Paul Cuff","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, U.S.A","Department of Computer Science and Engineering, Hong Kong University of Science and Technology, Hong Kong, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, U.S.A","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Department of Computer Science and Engineering, Hong Kong University of Science and Technology, Hong Kong, China","institution_ids":["https://openalex.org/I200769079"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5029925982","display_name":"Pan Hui","orcid":"https://orcid.org/0000-0002-0848-2599"},"institutions":[{"id":"https://openalex.org/I200769079","display_name":"Hong Kong University of Science and Technology","ror":"https://ror.org/00q4vv597","country_code":"HK","type":"education","lineage":["https://openalex.org/I200769079"]},{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["HK","US"],"is_corresponding":false,"raw_author_name":"Pan Hui","raw_affiliation_strings":["Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Hong Kong","Dept. of Electr. Eng., Princeton Univ., Princeton, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Engineering, The Hong Kong University of Science and Technology, Hong Kong","institution_ids":["https://openalex.org/I200769079"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Princeton Univ., Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5053530986","display_name":"Sanjeev R. Kulkarni","orcid":"https://orcid.org/0000-0002-5308-5250"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Sanjeev Kulkarni","raw_affiliation_strings":["Department of Electrical Engineering, Princeton University, Princeton, NJ, U.S.A","Dept. of Electr. Eng., Princeton Univ., Princeton, NJ, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Electrical Engineering, Princeton University, Princeton, NJ, U.S.A","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Dept. of Electr. Eng., Princeton Univ., Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.4686,"has_fulltext":true,"cited_by_count":5,"citation_normalized_percentile":{"value":0.82817619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":96},"biblio":{"volume":"60","issue":"4","first_page":"1127","last_page":"1132"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9957000017166138,"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":0.9957000017166138,"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/T12288","display_name":"Optimization and Search Problems","score":0.9937000274658203,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9933000206947327,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6866865158081055},{"id":"https://openalex.org/keywords/convergence","display_name":"Convergence (economics)","score":0.6163503527641296},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4891810715198517},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.39906400442123413},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3329671323299408},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.11180362105369568}],"concepts":[{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6866865158081055},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.6163503527641296},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4891810715198517},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.39906400442123413},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3329671323299408},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.11180362105369568},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C50522688","wikidata":"https://www.wikidata.org/wiki/Q189833","display_name":"Economic growth","level":1,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1109/tac.2014.2342071","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2014.2342071","pdf_url":null,"source":{"id":"https://openalex.org/S184954342","display_name":"IEEE Transactions on Automatic Control","issn_l":"0018-9286","issn":["0018-9286","1558-2523","2334-3303"],"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 Automatic Control","raw_type":"journal-article"},{"id":"pmh:oai:arXiv.org:1409.6828","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1409.6828","pdf_url":"https://arxiv.org/pdf/1409.6828","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},{"id":"pmh:oai:repository.hkust.edu.hk:1783.1-67968","is_oa":false,"landing_page_url":"http://www.scopus.com/record/display.url?eid=2-s2.0-84926354028&origin=inward","pdf_url":null,"source":{"id":"https://openalex.org/S4306401796","display_name":"Rare & Special e-Zone (The Hong Kong University of Science and Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I200769079","host_organization_name":"Hong Kong University of Science and Technology","host_organization_lineage":["https://openalex.org/I200769079"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Article"}],"best_oa_location":{"id":"pmh:oai:arXiv.org:1409.6828","is_oa":true,"landing_page_url":"https://arxiv.org/abs/1409.6828","pdf_url":"https://arxiv.org/pdf/1409.6828","source":{"id":"https://openalex.org/S4393918464","display_name":"ArXiv.org","issn_l":"2331-8422","issn":["2331-8422"],"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"text"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":23,"referenced_works":["https://openalex.org/W247697463","https://openalex.org/W1579299142","https://openalex.org/W1586184796","https://openalex.org/W1964535518","https://openalex.org/W1978196657","https://openalex.org/W2010771875","https://openalex.org/W2028201344","https://openalex.org/W2033721210","https://openalex.org/W2043683320","https://openalex.org/W2053059469","https://openalex.org/W2054004314","https://openalex.org/W2084044206","https://openalex.org/W2117905067","https://openalex.org/W2132518699","https://openalex.org/W2140655807","https://openalex.org/W2147063476","https://openalex.org/W2156267951","https://openalex.org/W2171533384","https://openalex.org/W2912291331","https://openalex.org/W2952937362","https://openalex.org/W4238591275","https://openalex.org/W4247782380","https://openalex.org/W6659281516"],"related_works":["https://openalex.org/W2748952813","https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"We":[0,66,87],"analyze":[1,67],"a":[2,49],"class":[3],"of":[4,31,91,98,121,128,131,150,164,176],"distributed":[5],"quantized":[6,64,75,138],"consensus":[7,62,76,139],"algorithms":[8],"for":[9,72,112,137],"arbitrary":[10,119],"static":[11],"networks.":[12],"In":[13],"the":[14,20,32,36,68,73,89,113,126,160,171],"initial":[15],"setting,":[16],"each":[17],"node":[18],"in":[19,35,48,53,173],"network":[21],"has":[22],"an":[23,54,103,118],"integer":[24],"value.":[25],"Nodes":[26],"exchange":[27],"their":[28,41,46],"current":[29],"estimate":[30],"mean":[33],"value":[34],"network,":[37],"and":[38,96,182,188],"then":[39],"update":[40],"estimation":[42],"by":[43,79],"communicating":[44],"with":[45,63,170],"neighbors":[47],"limited":[50],"capacity":[51],"channel":[52],"asynchronous":[55],"clock":[56],"setting.":[57],"Eventually,":[58],"all":[59],"nodes":[60],"reach":[61],"precision.":[65],"expected":[69,114],"convergence":[70,115],"time":[71,116],"general":[74],"algorithm":[77],"proposed":[78],"Kashyap":[80],"et":[81],"al.":[82],"(\u201cQuantized":[83],"consensus,\u201d":[84,179],"Automatica,":[85],"2007).":[86],"use":[88],"theory":[90],"electric":[92],"networks,":[93],"random":[94],"walks,":[95],"couplings":[97],"Markov":[99],"chains":[100],"to":[101,155,158,162],"derive":[102],"O(N":[104,132],"<sup":[105,133],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[106,134],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">3</sup>":[107],"log":[108],"N)":[109],"upper":[110],"bound":[111,130],"on":[117,125,146],"graph":[120,147],"size":[122],"N,":[123],"improving":[124],"state":[127],"art":[129],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">5</sup>":[135],")":[136],"algorithms.":[140],"Our":[141],"result":[142],"is":[143,153,168],"not":[144],"dependent":[145],"topology.":[148,166],"Example":[149],"complete":[151],"graphs":[152,163],"given":[154,165],"show":[156],"how":[157],"extend":[159],"analysis":[161,172],"This":[167],"consistent":[169],"\u201cConvergence":[174],"speed":[175],"binary":[177],"interval":[178],"(M.":[180],"Draief":[181],"M.":[183],"Vojnovic,":[184],"SIAM":[185],"J.":[186],"Control":[187],"Optimization,":[189],"2012.":[190]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":2},{"year":2015,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
