{"id":"https://openalex.org/W4244254726","doi":"https://doi.org/10.1002/net.20352","title":"The diameter and connectivity of networks with random dependent faults","display_name":"The diameter and connectivity of networks with random dependent faults","publication_year":2009,"publication_date":"2009-12-03","ids":{"openalex":"https://openalex.org/W4244254726","doi":"https://doi.org/10.1002/net.20352"},"language":"en","primary_location":{"id":"doi:10.1002/net.20352","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.20352","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","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/A5003125546","display_name":"Evangelos Kranakis","orcid":"https://orcid.org/0000-0002-8959-4428"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":false,"raw_author_name":"Evangelos Kranakis","raw_affiliation_strings":["School of Computer Science, Carleton University, Ottawa, Ontario, Canada K1S 5B6"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, Ontario, Canada K1S 5B6","institution_ids":["https://openalex.org/I67031392"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5086296425","display_name":"Michel Paquette","orcid":"https://orcid.org/0000-0002-5051-7476"},"institutions":[{"id":"https://openalex.org/I67031392","display_name":"Carleton University","ror":"https://ror.org/02qtvee93","country_code":"CA","type":"education","lineage":["https://openalex.org/I67031392"]}],"countries":["CA"],"is_corresponding":true,"raw_author_name":"Michel Paquette","raw_affiliation_strings":["School of Computer Science, Carleton University, Ottawa, Ontario, Canada K1S 5B6"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computer Science, Carleton University, Ottawa, Ontario, Canada K1S 5B6","institution_ids":["https://openalex.org/I67031392"]}]},{"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":["De\u0301partement d'informatique et d'inge\u0301nierie, Universite\u0301 du Que\u0301bec en Outaouais, Gatineau, Que\u0301bec, Canada J8X 3X7"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"De\u0301partement d'informatique et d'inge\u0301nierie, Universite\u0301 du Que\u0301bec en Outaouais, Gatineau, Que\u0301bec, Canada J8X 3X7","institution_ids":["https://openalex.org/I33217400"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5086296425"],"corresponding_institution_ids":["https://openalex.org/I67031392"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.3562,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.70943417,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"56","issue":"2","first_page":"103","last_page":"115"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9972000122070312,"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/T10064","display_name":"Complex Network Analysis Techniques","score":0.9919000267982483,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/bounded-function","display_name":"Bounded function","score":0.612618625164032},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5684010982513428},{"id":"https://openalex.org/keywords/constant","display_name":"Constant (computer programming)","score":0.5584182143211365},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.541562020778656},{"id":"https://openalex.org/keywords/fault","display_name":"Fault (geology)","score":0.48767292499542236},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.4594349265098572},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.451738178730011},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.42665308713912964},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4138595163822174},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.40288230776786804},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3357706069946289},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.21761471033096313},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.14099571108818054}],"concepts":[{"id":"https://openalex.org/C34388435","wikidata":"https://www.wikidata.org/wiki/Q2267362","display_name":"Bounded function","level":2,"score":0.612618625164032},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5684010982513428},{"id":"https://openalex.org/C2777027219","wikidata":"https://www.wikidata.org/wiki/Q1284190","display_name":"Constant (computer programming)","level":2,"score":0.5584182143211365},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.541562020778656},{"id":"https://openalex.org/C175551986","wikidata":"https://www.wikidata.org/wiki/Q47089","display_name":"Fault (geology)","level":2,"score":0.48767292499542236},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.4594349265098572},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.451738178730011},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.42665308713912964},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4138595163822174},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.40288230776786804},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3357706069946289},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.21761471033096313},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.14099571108818054},{"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},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C127313418","wikidata":"https://www.wikidata.org/wiki/Q1069","display_name":"Geology","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.20352","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.20352","pdf_url":null,"source":{"id":"https://openalex.org/S191798613","display_name":"Networks","issn_l":"0028-3045","issn":["0028-3045","1097-0037"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320595","host_organization_name":"Wiley","host_organization_lineage":["https://openalex.org/P4310320595"],"host_organization_lineage_names":["Wiley"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Networks","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/11","display_name":"Sustainable cities and communities","score":0.5799999833106995}],"awards":[],"funders":[{"id":"https://openalex.org/F4320313493","display_name":"Universit\u00e9 du Qu\u00e9bec en Outaouais","ror":"https://ror.org/011pqxa69"},{"id":"https://openalex.org/F4320322675","display_name":"Mitacs","ror":"https://ror.org/00cjrc276"},{"id":"https://openalex.org/F4320334593","display_name":"Natural Sciences and Engineering Research Council of Canada","ror":"https://ror.org/01h531d29"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W1565023826","https://openalex.org/W1587303327","https://openalex.org/W1876996774","https://openalex.org/W1973239387","https://openalex.org/W1998076608","https://openalex.org/W2031578616","https://openalex.org/W2042094509","https://openalex.org/W2045940022","https://openalex.org/W2055486120","https://openalex.org/W2057399436","https://openalex.org/W2057911292","https://openalex.org/W2063105299","https://openalex.org/W2071898078","https://openalex.org/W2097634964","https://openalex.org/W2100931325","https://openalex.org/W2102604933","https://openalex.org/W2105269208","https://openalex.org/W2131241094","https://openalex.org/W2158689935","https://openalex.org/W2163876217","https://openalex.org/W4255015677","https://openalex.org/W6633818634"],"related_works":["https://openalex.org/W2399035783","https://openalex.org/W3161230432","https://openalex.org/W1487201914","https://openalex.org/W4367190712","https://openalex.org/W3013085049","https://openalex.org/W280458463","https://openalex.org/W1560496689","https://openalex.org/W1170131723","https://openalex.org/W4301429470","https://openalex.org/W1992739770"],"abstract_inverted_index":{"We":[0,65,85,103,175],"study":[1],"the":[2,7,27,51,67,70,74,79,83,140,166,189,205,211],"connectivity":[3,75,129,143,212],"and":[4,38,54,76,151,170,213],"diameter":[5,77,93,214],"of":[6,10,45,69,78,82,113,161,181,215],"fault-free":[8,80,119,190],"part":[9,81,120,191],"n-node":[11],"networks":[12,114,180,216],"where":[13,31,217],"nodes":[14,44,218],"fail":[15,219],"in":[16,50,220],"a":[17,46,87,91,158,186,221],"random":[18,222],"dependent":[19,223],"way.":[20,224],"To":[21],"capture":[22],"fault":[23,29],"dependencies,":[24],"we":[25],"introduce":[26],"neighborhood":[28],"model,":[30],"damaging":[32],"events,":[33],"called":[34],"spots,":[35],"occur":[36],"randomly":[37],"independently":[39],"with":[40,94,122,130,144,165,196],"probability":[41,72,132,146,198],"p":[42,98,148,155,200],"at":[43,58,60],"network,":[47],"causing":[48],"faults":[49,57],"given":[52],"node":[53],"its":[55],"neighbors;":[56],"distance":[59],"most":[61,111],"2":[62],"become":[63],"dependent.":[64],"investigate":[66],"impact":[68],"spot":[71,109,127],"on":[73],"network.":[84],"show":[86,105],"network":[88,159],"which":[89,209],"has":[90],"low":[92,173],"high":[95,123,131,145,197],"probability,":[96],"if":[97,199],"\u2264":[99],"1/c":[100],"log":[101],"n.":[102],"also":[104],"that,":[106],"for":[107,179],"constant":[108,187],"probabilities,":[110,128],"classes":[112],"do":[115],"not":[116,153,193],"have":[117],"their":[118],"connected":[121,195],"probability.":[124],"For":[125],"smaller":[126],"is":[133,163,204],"supported":[134],"even":[135],"by":[136,185],"bounded":[137,183],"degree":[138,182],"networks:":[139],"torus":[141],"supports":[142],"when":[147,154],"\u03b5":[149,156,201],"1/\u03c9(n1/2),":[150],"does":[152],"1/O(n1/2);":[157],"built":[160],"tori":[162],"designed,":[164],"same":[167],"fault-tolerance":[168],"properties":[169],"additionally":[171],"having":[172],"diameter.":[174],"show,":[176],"however,":[177],"that":[178],"above":[184],"\u0394,":[188],"can":[192],"be":[194],"1/O(n1/\u0394).":[202],"This":[203],"first":[206],"analytic":[207],"paper":[208],"investigates":[210],"\u00a9":[225],"2009":[226],"Wiley":[227],"Periodicals,":[228],"Inc.":[229],"NETWORKS,":[230],"2010":[231]},"counts_by_year":[{"year":2020,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
