{"id":"https://openalex.org/W2121419308","doi":"https://doi.org/10.1109/tac.2010.2041609","title":"Time Complexity of Decentralized Fixed-Mode Verification","display_name":"Time Complexity of Decentralized Fixed-Mode Verification","publication_year":2010,"publication_date":"2010-02-11","ids":{"openalex":"https://openalex.org/W2121419308","doi":"https://doi.org/10.1109/tac.2010.2041609","mag":"2121419308"},"language":"en","primary_location":{"id":"doi:10.1109/tac.2010.2041609","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2041609","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":["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/A5042580848","display_name":"Javad Lavaei","orcid":null},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"J. Lavaei","raw_affiliation_strings":["Department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA","[department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA]","institution_ids":["https://openalex.org/I122411786"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5072786751","display_name":"Somayeh Sojoudi","orcid":"https://orcid.org/0000-0001-7177-7712"},"institutions":[{"id":"https://openalex.org/I122411786","display_name":"California Institute of Technology","ror":"https://ror.org/05dxps055","country_code":"US","type":"education","lineage":["https://openalex.org/I122411786"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"S. Sojoudi","raw_affiliation_strings":["Department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA","[department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA","institution_ids":["https://openalex.org/I122411786"]},{"raw_affiliation_string":"[department of Control and Dynamical Systems, California Institute of Technology, Pasadena, CA, USA]","institution_ids":["https://openalex.org/I122411786"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I122411786"],"apc_list":null,"apc_paid":null,"fwci":1.6914,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.84735604,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"55","issue":"4","first_page":"971","last_page":"976"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9987000226974487,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9987000226974487,"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/T10142","display_name":"Formal Methods in Verification","score":0.9983000159263611,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9983000159263611,"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/digraph","display_name":"Digraph","score":0.802535891532898},{"id":"https://openalex.org/keywords/computational-complexity-theory","display_name":"Computational complexity theory","score":0.6111902594566345},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6006173491477966},{"id":"https://openalex.org/keywords/time-complexity","display_name":"Time complexity","score":0.5745768547058105},{"id":"https://openalex.org/keywords/mode","display_name":"Mode (computer interface)","score":0.5196689367294312},{"id":"https://openalex.org/keywords/matrix-multiplication","display_name":"Matrix multiplication","score":0.43485546112060547},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.43173253536224365},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3801104426383972},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.31954240798950195},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.15826883912086487}],"concepts":[{"id":"https://openalex.org/C2779145032","wikidata":"https://www.wikidata.org/wiki/Q191494","display_name":"Digraph","level":2,"score":0.802535891532898},{"id":"https://openalex.org/C179799912","wikidata":"https://www.wikidata.org/wiki/Q205084","display_name":"Computational complexity theory","level":2,"score":0.6111902594566345},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6006173491477966},{"id":"https://openalex.org/C311688","wikidata":"https://www.wikidata.org/wiki/Q2393193","display_name":"Time complexity","level":2,"score":0.5745768547058105},{"id":"https://openalex.org/C48677424","wikidata":"https://www.wikidata.org/wiki/Q6888088","display_name":"Mode (computer interface)","level":2,"score":0.5196689367294312},{"id":"https://openalex.org/C17349429","wikidata":"https://www.wikidata.org/wiki/Q1049914","display_name":"Matrix multiplication","level":3,"score":0.43485546112060547},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.43173253536224365},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3801104426383972},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.31954240798950195},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.15826883912086487},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/tac.2010.2041609","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tac.2010.2041609","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:authors.library.caltech.edu:18446","is_oa":false,"landing_page_url":"https://resolver.caltech.edu/CaltechAUTHORS:20100526-083621793","pdf_url":null,"source":{"id":"https://openalex.org/S4306402161","display_name":"CaltechAUTHORS (California Institute of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I122411786","host_organization_name":"California Institute of Technology","host_organization_lineage":["https://openalex.org/I122411786"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.7699999809265137}],"awards":[{"id":"https://openalex.org/G1209887519","display_name":null,"funder_award_id":"W911NF-08-1-0233","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G3284194659","display_name":null,"funder_award_id":"W911NF-09-D-0001","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G3622582212","display_name":null,"funder_award_id":"W911NF-08-1","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G4549104125","display_name":null,"funder_award_id":"N00014-08-1-0747","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G7019637829","display_name":null,"funder_award_id":"W911NF-09-D-0001","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G7228080272","display_name":null,"funder_award_id":"MURI W911NF-08-1-0233","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G7425413337","display_name":null,"funder_award_id":"-0001","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"},{"id":"https://openalex.org/G7452299184","display_name":null,"funder_award_id":"W911NF","funder_id":"https://openalex.org/F4320338281","funder_display_name":"Army Research Office"},{"id":"https://openalex.org/G8876996369","display_name":null,"funder_award_id":"N00014","funder_id":"https://openalex.org/F4320337345","funder_display_name":"Office of Naval Research"}],"funders":[{"id":"https://openalex.org/F4320333591","display_name":"Multidisciplinary University Research Initiative","ror":null},{"id":"https://openalex.org/F4320337345","display_name":"Office of Naval Research","ror":"https://ror.org/00rk2pe57"},{"id":"https://openalex.org/F4320338281","display_name":"Army Research Office","ror":"https://ror.org/05epdh915"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W73629738","https://openalex.org/W81840336","https://openalex.org/W1561337879","https://openalex.org/W1580992231","https://openalex.org/W1643370131","https://openalex.org/W1979740015","https://openalex.org/W1989591298","https://openalex.org/W1998911052","https://openalex.org/W2002142656","https://openalex.org/W2085201606","https://openalex.org/W2093038430","https://openalex.org/W2101972786","https://openalex.org/W2102686956","https://openalex.org/W2118382442","https://openalex.org/W2121419308","https://openalex.org/W2127045837","https://openalex.org/W2127459762","https://openalex.org/W2128916986","https://openalex.org/W2133109179","https://openalex.org/W2146890818","https://openalex.org/W2171472775","https://openalex.org/W2174070521","https://openalex.org/W3145128584","https://openalex.org/W4233225156"],"related_works":["https://openalex.org/W2038088825","https://openalex.org/W1975203667","https://openalex.org/W2370328482","https://openalex.org/W4287882779","https://openalex.org/W2046896701","https://openalex.org/W2265849288","https://openalex.org/W2140169421","https://openalex.org/W1996632063","https://openalex.org/W1589381382","https://openalex.org/W961142965"],"abstract_inverted_index":{"Given":[0],"an":[1,15,128],"interconnected":[2],"system,":[3],"this":[4,63,109],"note":[5,119],"is":[6,21,28,39,55,70,99,116],"concerned":[7],"with":[8],"the":[9,19,32,43,52,59,67,71,74,83,104,133],"time":[10,60],"complexity":[11,61,75,124],"of":[12,18,35,46,62,76,85,90],"verifying":[13],"whether":[14],"unrepeated":[16],"mode":[17,25,38],"system":[20],"a":[22,47,91,96,123],"decentralized":[23,33],"fixed":[24],"(DFM).":[26],"It":[27,54],"shown":[29],"that":[30,58,82,114],"checking":[31],"fixedness":[34],"any":[36],"distinct":[37,86],"tantamount":[40],"to":[41],"testing":[42],"strong":[44],"connectivity":[45],"digraph":[48],"formed":[49],"based":[50],"on":[51],"system.":[53],"subsequently":[56],"proved":[57],"decision":[64],"problem":[65,110],"using":[66],"proposed":[68],"approach":[69],"same":[72],"as":[73],"matrix":[77],"multiplication.":[78],"This":[79,118],"work":[80],"concludes":[81],"identification":[84],"DFMs":[87],"(by":[88],"means":[89],"deterministic":[92],"algorithm,":[93],"rather":[94],"than":[95],"randomized":[97],"one)":[98],"computationally":[100],"very":[101],"easy,":[102],"although":[103],"existing":[105],"algorithms":[106],"for":[107,131],"solving":[108],"would":[111],"wrongly":[112],"imply":[113],"it":[115],"cumbersome.":[117],"provides":[120],"not":[121],"only":[122],"analysis,":[125],"but":[126],"also":[127],"efficient":[129],"algorithm":[130],"tackling":[132],"underlying":[134],"problem.":[135]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":1},{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":2}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}