{"id":"https://openalex.org/W2031578616","doi":"https://doi.org/10.1017/s0963548300002108","title":"Reliable Broadcasting in Hypercubes with Random Link and Node Failures","display_name":"Reliable Broadcasting in Hypercubes with Random Link and Node Failures","publication_year":1996,"publication_date":"1996-12-01","ids":{"openalex":"https://openalex.org/W2031578616","doi":"https://doi.org/10.1017/s0963548300002108","mag":"2031578616"},"language":"en","primary_location":{"id":"doi:10.1017/s0963548300002108","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548300002108","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and 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/A5061702545","display_name":"Bogdan S. Chlebus","orcid":"https://orcid.org/0000-0003-4884-941X"},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Bogdan S. Chlebus","raw_affiliation_strings":["Instytut Informatyki, Uniwersytet Warszawski, ul. Banacha 2, 02-097 Warszawa, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instytut Informatyki, Uniwersytet Warszawski, ul. Banacha 2, 02-097 Warszawa, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5110053990","display_name":"Krzysztof Diks","orcid":null},"institutions":[{"id":"https://openalex.org/I4654613","display_name":"University of Warsaw","ror":"https://ror.org/039bjqg32","country_code":"PL","type":"education","lineage":["https://openalex.org/I4654613"]}],"countries":["PL"],"is_corresponding":false,"raw_author_name":"Krzysztof Diks","raw_affiliation_strings":["Instytut Informatyki, Uniwersytet Warszawski, ul. Banacha 2, 02-097 Warszawa, Poland"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Instytut Informatyki, Uniwersytet Warszawski, ul. Banacha 2, 02-097 Warszawa, Poland","institution_ids":["https://openalex.org/I4654613"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5102714160","display_name":"Andrzej Pelc","orcid":"https://orcid.org/0000-0003-0598-1218"},"institutions":[{"id":"https://openalex.org/I33217400","display_name":"Universit\u00e9 du Qu\u00e9bec en Outaouais","ror":"https://ror.org/011pqxa69","country_code":"CA","type":"education","lineage":["https://openalex.org/I33217400","https://openalex.org/I49663120"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Andrzej Pelc","raw_affiliation_strings":["D\u00e9partement d'Informatique, Universit\u00e9 du Qu\u00e9bec \u00e0 Hull, C.P. 1250, succ. \u2018B\u2019, Hull, Qu\u00e9bec J8X 3X7, Canada","\u00e9partement d'Informatique, Universit\u00e9 du Qu\u00e9bec \u00e0 Hull, C.P. 1250, succ. \u2018B\u2019, Hull, Qu\u00e9bec J8X 3X7, Canada"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"D\u00e9partement d'Informatique, Universit\u00e9 du Qu\u00e9bec \u00e0 Hull, C.P. 1250, succ. \u2018B\u2019, Hull, Qu\u00e9bec J8X 3X7, Canada","institution_ids":["https://openalex.org/I33217400"]},{"raw_affiliation_string":"\u00e9partement d'Informatique, Universit\u00e9 du Qu\u00e9bec \u00e0 Hull, C.P. 1250, succ. \u2018B\u2019, Hull, Qu\u00e9bec J8X 3X7, Canada","institution_ids":["https://openalex.org/I33217400"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.18964061,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"5","issue":"4","first_page":"337","last_page":"350"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998000264167786,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9998000264167786,"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/T10772","display_name":"Distributed systems and fault tolerance","score":0.9944999814033508,"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/T10796","display_name":"Cooperative Communication and Network Coding","score":0.9939000010490417,"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/hypercube","display_name":"Hypercube","score":0.8584581613540649},{"id":"https://openalex.org/keywords/broadcasting","display_name":"Broadcasting (networking)","score":0.8097209930419922},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.7097117900848389},{"id":"https://openalex.org/keywords/link","display_name":"Link (geometry)","score":0.6124701499938965},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.5962990522384644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.585554838180542},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5390948057174683},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.4543149471282959},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.44607168436050415},{"id":"https://openalex.org/keywords/unit-of-time","display_name":"Unit of time","score":0.43396085500717163},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.4151982367038727},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.38426458835601807},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.351991206407547},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.29137885570526123},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09785151481628418}],"concepts":[{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8584581613540649},{"id":"https://openalex.org/C110157686","wikidata":"https://www.wikidata.org/wiki/Q922122","display_name":"Broadcasting (networking)","level":2,"score":0.8097209930419922},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.7097117900848389},{"id":"https://openalex.org/C2778753846","wikidata":"https://www.wikidata.org/wiki/Q6554239","display_name":"Link (geometry)","level":2,"score":0.6124701499938965},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.5962990522384644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.585554838180542},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5390948057174683},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.4543149471282959},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.44607168436050415},{"id":"https://openalex.org/C112931104","wikidata":"https://www.wikidata.org/wiki/Q1790144","display_name":"Unit of time","level":2,"score":0.43396085500717163},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.4151982367038727},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.38426458835601807},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.351991206407547},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.29137885570526123},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09785151481628418},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"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/C165205528","wikidata":"https://www.wikidata.org/wiki/Q83371","display_name":"Seismology","level":1,"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:10.1017/s0963548300002108","is_oa":false,"landing_page_url":"https://doi.org/10.1017/s0963548300002108","pdf_url":null,"source":{"id":"https://openalex.org/S7291079","display_name":"Combinatorics Probability Computing","issn_l":"0963-5483","issn":["0963-5483","1469-2163"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311721","host_organization_name":"Cambridge University Press","host_organization_lineage":["https://openalex.org/P4310311721","https://openalex.org/P4310311702"],"host_organization_lineage_names":["Cambridge University Press","University of Cambridge"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Combinatorics, Probability and Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W1565023826","https://openalex.org/W1964602554","https://openalex.org/W1972925646","https://openalex.org/W1980048622","https://openalex.org/W1985196139","https://openalex.org/W2005443809","https://openalex.org/W2007192240","https://openalex.org/W2028402123","https://openalex.org/W2043555689","https://openalex.org/W2045940022","https://openalex.org/W2056215685","https://openalex.org/W2057399436","https://openalex.org/W2057706918","https://openalex.org/W2058322021","https://openalex.org/W2061496873","https://openalex.org/W2068889991","https://openalex.org/W2078760000","https://openalex.org/W2113701990","https://openalex.org/W2119343931","https://openalex.org/W2127964627","https://openalex.org/W2170426799","https://openalex.org/W6633818634","https://openalex.org/W6661117353","https://openalex.org/W6670304303","https://openalex.org/W6677271019"],"related_works":["https://openalex.org/W4286907761","https://openalex.org/W2916710807","https://openalex.org/W2413588304","https://openalex.org/W1583254070","https://openalex.org/W2394113672","https://openalex.org/W2122785676","https://openalex.org/W2144670680","https://openalex.org/W2150156895","https://openalex.org/W2065132355","https://openalex.org/W1972566871"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,35,80],"problem":[3],"of":[4,67],"broadcasting":[5,119],"in":[6,30,64,112],"an":[7,109],"n":[8,116,148],"\u2013node":[9],"hypercube":[10],"whose":[11],"links":[12],"and":[13,23,54,79,89,118,142],"nodes":[14,52,125],"fail":[15],"independently":[16],"with":[17,59,126],"given":[18],"probabilities":[19],"p":[20,88,94,102,141],"&lt;":[21,25],"1":[22,129],"q":[24,90,97,104,143],"1,":[26],"respectively.":[27],"Information":[28],"held":[29],"a":[31,65],"fault-free":[32,43,124],"node,":[33],"called":[34],"source":[36,120],",":[37],"has":[38],"to":[39,50,122],"reach":[40],"all":[41,123],"other":[42],"nodes.":[44],"Messages":[45],"may":[46,57],"be":[47,72],"directly":[48],"transmitted":[49,73],"adjacent":[51],"only,":[53],"every":[55],"node":[56],"communicate":[58],"at":[60],"most":[61],"one":[62],"neighbour":[63],"unit":[66],"time.":[68],"A":[69],"message":[70],"can":[71],"only":[74],"if":[75],"both":[76],"communicating":[77],"neighbours":[78],"link":[81],"joining":[82],"them":[83],"are":[84],"fault-free.":[85],"For":[86],"parameters":[87],"satisfying":[91],"(1":[92],"\u2013":[93,96,130],")(1":[95],")":[98,117],"\u227d":[99],"0.99":[100],"(e.g.":[101],"=":[103,105],"0.5%),":[106],"we":[107],"give":[108],"algorithm":[110],"working":[111],"time":[113],"O":[114],"(log":[115],"information":[121],"probability":[127],"exceeding":[128],"cn":[131],"-e":[132],"for":[133],"some":[134],"positive":[135],"constant":[136],"\u03b5,":[137],"c":[138],"depending":[139,146],"on":[140,147],"but":[144],"not":[145],".":[149]},"counts_by_year":[{"year":2014,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
