{"id":"https://openalex.org/W2081934348","doi":"https://doi.org/10.1137/s0097539704446335","title":"Stability of Multivalued Continuous Consensus","display_name":"Stability of Multivalued Continuous Consensus","publication_year":2007,"publication_date":"2007-01-01","ids":{"openalex":"https://openalex.org/W2081934348","doi":"https://doi.org/10.1137/s0097539704446335","mag":"2081934348"},"language":"en","primary_location":{"id":"doi:10.1137/s0097539704446335","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539704446335","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","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/A5077900795","display_name":"Lior Davidovitch","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Lior Davidovitch","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"middle","author":{"id":"https://openalex.org/A5060182415","display_name":"Shlomi Dolev","orcid":"https://orcid.org/0000-0001-5418-6670"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Shlomi Dolev","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]},{"author_position":"last","author":{"id":"https://openalex.org/A5005997085","display_name":"Sergio Rajsbaum","orcid":"https://orcid.org/0000-0002-0009-5287"},"institutions":[],"countries":[],"is_corresponding":false,"raw_author_name":"Sergio Rajsbaum","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5077900795"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.6833,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.85554095,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"37","issue":"4","first_page":"1057","last_page":"1076"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10772","display_name":"Distributed systems and fault tolerance","score":0.9969000220298767,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9969000220298767,"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/T12288","display_name":"Optimization and Search Problems","score":0.9721999764442444,"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/T11125","display_name":"Petri Nets in System Modeling","score":0.9717000126838684,"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/mathematics","display_name":"Mathematics","score":0.6866346001625061},{"id":"https://openalex.org/keywords/simplex","display_name":"Simplex","score":0.6841016411781311},{"id":"https://openalex.org/keywords/upper-and-lower-bounds","display_name":"Upper and lower bounds","score":0.6549449563026428},{"id":"https://openalex.org/keywords/range","display_name":"Range (aeronautics)","score":0.5972833037376404},{"id":"https://openalex.org/keywords/geodesic","display_name":"Geodesic","score":0.5803648233413696},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.5565636157989502},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5103044509887695},{"id":"https://openalex.org/keywords/subdivision","display_name":"Subdivision","score":0.47352978587150574},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4495672583580017},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4362511932849884},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.43484002351760864},{"id":"https://openalex.org/keywords/control-theory","display_name":"Control theory (sociology)","score":0.32697516679763794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.22578486800193787},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.18132182955741882}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6866346001625061},{"id":"https://openalex.org/C62438384","wikidata":"https://www.wikidata.org/wiki/Q331350","display_name":"Simplex","level":2,"score":0.6841016411781311},{"id":"https://openalex.org/C77553402","wikidata":"https://www.wikidata.org/wiki/Q13222579","display_name":"Upper and lower bounds","level":2,"score":0.6549449563026428},{"id":"https://openalex.org/C204323151","wikidata":"https://www.wikidata.org/wiki/Q905424","display_name":"Range (aeronautics)","level":2,"score":0.5972833037376404},{"id":"https://openalex.org/C165818556","wikidata":"https://www.wikidata.org/wiki/Q213488","display_name":"Geodesic","level":2,"score":0.5803648233413696},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.5565636157989502},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5103044509887695},{"id":"https://openalex.org/C143392562","wikidata":"https://www.wikidata.org/wiki/Q449111","display_name":"Subdivision","level":2,"score":0.47352978587150574},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4495672583580017},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4362511932849884},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.43484002351760864},{"id":"https://openalex.org/C47446073","wikidata":"https://www.wikidata.org/wiki/Q5165890","display_name":"Control theory (sociology)","level":3,"score":0.32697516679763794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.22578486800193787},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.18132182955741882},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.0},{"id":"https://openalex.org/C159985019","wikidata":"https://www.wikidata.org/wiki/Q181790","display_name":"Composite material","level":1,"score":0.0},{"id":"https://openalex.org/C166957645","wikidata":"https://www.wikidata.org/wiki/Q23498","display_name":"Archaeology","level":1,"score":0.0},{"id":"https://openalex.org/C95457728","wikidata":"https://www.wikidata.org/wiki/Q309","display_name":"History","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C2775924081","wikidata":"https://www.wikidata.org/wiki/Q55608371","display_name":"Control (management)","level":2,"score":0.0},{"id":"https://openalex.org/C192562407","wikidata":"https://www.wikidata.org/wiki/Q228736","display_name":"Materials 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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0097539704446335","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0097539704446335","pdf_url":null,"source":{"id":"https://openalex.org/S153560523","display_name":"SIAM Journal on Computing","issn_l":"0097-5397","issn":["0097-5397","1095-7111"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":7,"referenced_works":["https://openalex.org/W1972328077","https://openalex.org/W1975213343","https://openalex.org/W1992554067","https://openalex.org/W2015693164","https://openalex.org/W2035362408","https://openalex.org/W2075854425","https://openalex.org/W4231444415"],"related_works":["https://openalex.org/W2384806462","https://openalex.org/W4389950792","https://openalex.org/W2375549870","https://openalex.org/W4376632515","https://openalex.org/W2163269603","https://openalex.org/W4205312897","https://openalex.org/W1106115901","https://openalex.org/W2950505150","https://openalex.org/W4300524356","https://openalex.org/W1501666688"],"abstract_inverted_index":{"Multivalued":[0],"consensus":[1,33,46,80,118],"functions":[2,34,47,81,119],"defined":[3],"from":[4,19],"a":[5,27,92,98,121],"vector":[6],"of":[7,13,44,64,72,79,88,95,116,123,127],"inputs":[8,67],"over":[9],"the":[10,20,50,54,59,65,70,73,85,114,125],"set":[11],"V":[12],"possible":[14],"input":[15,22,96,103],"values":[16],"(and":[17],"possibly":[18],"previous":[21],"and":[23,53,110,130],"output":[24,29,60,89],"values)":[25],"to":[26,37,61],"single":[28],"are":[30,35,48,132],"investigated.":[31],"The":[32,77],"designed":[36],"tolerate":[38],"t":[39],"faulty":[40],"inputs.":[41],"Two":[42],"classes":[43],"multivalued":[45,117],"defined,":[49],"exact":[51],"value":[52],"range":[55,71],"value,":[56],"which":[57,101],"require":[58],"be":[62],"one":[63],"nonfaulty":[66,74],"or":[68],"in":[69,100],"inputs,":[75],"respectively.":[76],"instability":[78,115],"is":[82,104,146],"examined,":[83],"counting":[84],"maximal":[86],"number":[87,126],"changes":[90],"along":[91],"geodesic":[93],"path":[94,99],"changes,":[97],"each":[102],"changed":[105],"at":[106],"most":[107],"once.":[108],"Lower":[109],"upper":[111],"bounds":[112],"for":[113,137],"as":[120],"function":[122],"n,":[124],"sensors,":[128],"t,":[129],"$|V|$":[131],"presented.":[133,147],"A":[134],"new":[135],"technique":[136],"obtaining":[138],"such":[139],"lower":[140],"bounds,":[141],"using":[142],"edgewise":[143],"simplex":[144],"subdivision,":[145]},"counts_by_year":[{"year":2015,"cited_by_count":1}],"updated_date":"2026-05-05T08:41:31.759640","created_date":"2025-10-10T00:00:00"}
