{"id":"https://openalex.org/W3035680301","doi":"https://doi.org/10.3390/s20113286","title":"Cluster-Fault Tolerant Routing in a Torus","display_name":"Cluster-Fault Tolerant Routing in a Torus","publication_year":2020,"publication_date":"2020-06-09","ids":{"openalex":"https://openalex.org/W3035680301","doi":"https://doi.org/10.3390/s20113286","mag":"3035680301","pmid":"https://pubmed.ncbi.nlm.nih.gov/32526955"},"language":"en","primary_location":{"id":"doi:10.3390/s20113286","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s20113286","pdf_url":"https://www.mdpi.com/1424-8220/20/11/3286/pdf?version=1591956786","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj","pubmed"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://www.mdpi.com/1424-8220/20/11/3286/pdf?version=1591956786","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5058447810","display_name":"Antoine Bossard","orcid":"https://orcid.org/0000-0001-9381-9346"},"institutions":[{"id":"https://openalex.org/I41802502","display_name":"Kanagawa University","ror":"https://ror.org/02j6c0d67","country_code":"JP","type":"education","lineage":["https://openalex.org/I41802502"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"Antoine Bossard","raw_affiliation_strings":["Graduate School of Science, Kanagawa University, Kanagawa 259-1293, Japan"],"raw_orcid":"https://orcid.org/0000-0001-9381-9346","affiliations":[{"raw_affiliation_string":"Graduate School of Science, Kanagawa University, Kanagawa 259-1293, Japan","institution_ids":["https://openalex.org/I41802502"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5014838749","display_name":"Keiichi Kaneko","orcid":"https://orcid.org/0000-0003-1790-4615"},"institutions":[{"id":"https://openalex.org/I92614990","display_name":"Tokyo University of Agriculture and Technology","ror":"https://ror.org/00qg0kr10","country_code":"JP","type":"education","lineage":["https://openalex.org/I92614990"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"Keiichi Kaneko","raw_affiliation_strings":["Institute of Engineering, Tokyo University of Agriculture and Technology, Tokyo 184-8588, Japan"],"raw_orcid":"https://orcid.org/0000-0003-1790-4615","affiliations":[{"raw_affiliation_string":"Institute of Engineering, Tokyo University of Agriculture and Technology, Tokyo 184-8588, Japan","institution_ids":["https://openalex.org/I92614990"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5058447810"],"corresponding_institution_ids":["https://openalex.org/I41802502"],"apc_list":{"value":2400,"currency":"CHF","value_usd":2673},"apc_paid":{"value":2400,"currency":"CHF","value_usd":2673},"fwci":2.013,"has_fulltext":false,"cited_by_count":18,"citation_normalized_percentile":{"value":0.87077215,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"20","issue":"11","first_page":"3286","last_page":"3286"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":1.0,"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":1.0,"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":0.9896000027656555,"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/T10054","display_name":"Parallel Computing and Optimization Techniques","score":0.9807000160217285,"subfield":{"id":"https://openalex.org/subfields/1708","display_name":"Hardware and Architecture"},"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/torus","display_name":"Torus","score":0.7359497547149658},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.7311099171638489},{"id":"https://openalex.org/keywords/fault-tolerance","display_name":"Fault tolerance","score":0.6860367059707642},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6340066194534302},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.5618922114372253},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.5204087495803833},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4956094026565552},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.4797148108482361},{"id":"https://openalex.org/keywords/cluster","display_name":"Cluster (spacecraft)","score":0.47687894105911255},{"id":"https://openalex.org/keywords/routing-algorithm","display_name":"Routing algorithm","score":0.4679352939128876},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.46386900544166565},{"id":"https://openalex.org/keywords/supercomputer","display_name":"Supercomputer","score":0.44569751620292664},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.4215848445892334},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.39891743659973145},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3962166905403137},{"id":"https://openalex.org/keywords/routing-protocol","display_name":"Routing protocol","score":0.28048068284988403},{"id":"https://openalex.org/keywords/engineering","display_name":"Engineering","score":0.16260108351707458},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.14487263560295105},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09945586323738098}],"concepts":[{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.7359497547149658},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.7311099171638489},{"id":"https://openalex.org/C63540848","wikidata":"https://www.wikidata.org/wiki/Q3140932","display_name":"Fault tolerance","level":2,"score":0.6860367059707642},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6340066194534302},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.5618922114372253},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.5204087495803833},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4956094026565552},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.4797148108482361},{"id":"https://openalex.org/C164866538","wikidata":"https://www.wikidata.org/wiki/Q367351","display_name":"Cluster (spacecraft)","level":2,"score":0.47687894105911255},{"id":"https://openalex.org/C2984173633","wikidata":"https://www.wikidata.org/wiki/Q22725","display_name":"Routing algorithm","level":4,"score":0.4679352939128876},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.46386900544166565},{"id":"https://openalex.org/C83283714","wikidata":"https://www.wikidata.org/wiki/Q121117","display_name":"Supercomputer","level":2,"score":0.44569751620292664},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.4215848445892334},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39891743659973145},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3962166905403137},{"id":"https://openalex.org/C104954878","wikidata":"https://www.wikidata.org/wiki/Q1648707","display_name":"Routing protocol","level":3,"score":0.28048068284988403},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"score":0.16260108351707458},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.14487263560295105},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09945586323738098},{"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/C66938386","wikidata":"https://www.wikidata.org/wiki/Q633538","display_name":"Structural engineering","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.3390/s20113286","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s20113286","pdf_url":"https://www.mdpi.com/1424-8220/20/11/3286/pdf?version=1591956786","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},{"id":"pmid:32526955","is_oa":false,"landing_page_url":"https://pubmed.ncbi.nlm.nih.gov/32526955","pdf_url":null,"source":{"id":"https://openalex.org/S4306525036","display_name":"PubMed","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors (Basel, Switzerland)","raw_type":null},{"id":"pmh:oai:doaj.org/article:a4ff96874fda490fae19020d9fba26ba","is_oa":true,"landing_page_url":"https://doaj.org/article/a4ff96874fda490fae19020d9fba26ba","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors, Vol 20, Iss 11, p 3286 (2020)","raw_type":"article"},{"id":"pmh:oai:mdpi.com:/1424-8220/20/11/3286/","is_oa":true,"landing_page_url":"http://dx.doi.org/10.3390/s20113286","pdf_url":null,"source":{"id":"https://openalex.org/S4306400947","display_name":"MDPI (MDPI AG)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4210097602","host_organization_name":"Multidisciplinary Digital Publishing Institute (Switzerland)","host_organization_lineage":["https://openalex.org/I4210097602"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors","raw_type":"Text"},{"id":"pmh:oai:pubmedcentral.nih.gov:7309173","is_oa":true,"landing_page_url":"https://www.ncbi.nlm.nih.gov/pmc/articles/7309173","pdf_url":null,"source":{"id":"https://openalex.org/S2764455111","display_name":"PubMed Central","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1299303238","host_organization_name":"National Institutes of Health","host_organization_lineage":["https://openalex.org/I1299303238"],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Sensors (Basel)","raw_type":"Text"}],"best_oa_location":{"id":"doi:10.3390/s20113286","is_oa":true,"landing_page_url":"https://doi.org/10.3390/s20113286","pdf_url":"https://www.mdpi.com/1424-8220/20/11/3286/pdf?version=1591956786","source":{"id":"https://openalex.org/S101949793","display_name":"Sensors","issn_l":"1424-8220","issn":["1424-8220"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310310987","host_organization_name":"Multidisciplinary Digital Publishing Institute","host_organization_lineage":["https://openalex.org/P4310310987"],"host_organization_lineage_names":["Multidisciplinary Digital Publishing Institute"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Sensors","raw_type":"journal-article"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/9","display_name":"Industry, innovation and infrastructure","score":0.49000000953674316}],"awards":[{"id":"https://openalex.org/G3319884898","display_name":"Investigation of a High-performance Stochastic Link-Fault Tolerant Routing Method in Torus with Wide Dimensions","funder_award_id":"20K11729","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"},{"id":"https://openalex.org/G5534454343","display_name":"Cluster-fault-tolerant routing methods in tori","funder_award_id":"19K11887","funder_id":"https://openalex.org/F4320334764","funder_display_name":"Japan Society for the Promotion of Science"}],"funders":[{"id":"https://openalex.org/F4320334764","display_name":"Japan Society for the Promotion of Science","ror":"https://ror.org/00hhkn466"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":35,"referenced_works":["https://openalex.org/W282449985","https://openalex.org/W593611301","https://openalex.org/W636288051","https://openalex.org/W652084088","https://openalex.org/W976211528","https://openalex.org/W1486380175","https://openalex.org/W1541422316","https://openalex.org/W1570796642","https://openalex.org/W1964602554","https://openalex.org/W1967259079","https://openalex.org/W2006223084","https://openalex.org/W2023048456","https://openalex.org/W2064672441","https://openalex.org/W2104748566","https://openalex.org/W2104852618","https://openalex.org/W2118010957","https://openalex.org/W2122056736","https://openalex.org/W2124157530","https://openalex.org/W2143316482","https://openalex.org/W2148482347","https://openalex.org/W2344770124","https://openalex.org/W2400761645","https://openalex.org/W2478415448","https://openalex.org/W2567680640","https://openalex.org/W2737473534","https://openalex.org/W2789662838","https://openalex.org/W2900885752","https://openalex.org/W2939847281","https://openalex.org/W2948702098","https://openalex.org/W3169463464","https://openalex.org/W4213311856","https://openalex.org/W6620590407","https://openalex.org/W6632467193","https://openalex.org/W6681854182","https://openalex.org/W6741014872"],"related_works":["https://openalex.org/W2384867379","https://openalex.org/W4400094300","https://openalex.org/W2329539859","https://openalex.org/W2227905990","https://openalex.org/W2810598808","https://openalex.org/W2209637120","https://openalex.org/W2805085688","https://openalex.org/W2065657464","https://openalex.org/W2381394401","https://openalex.org/W2355445727"],"abstract_inverted_index":{"The":[0,67,150],"number":[1,23,44],"of":[2,11,14,24,45,47,56,97,157,193],"Internet-connected":[3],"devices":[4],"grows":[5],"very":[6],"rapidly,":[7],"with":[8,41,61,174,189],"even":[9],"fears":[10],"running":[12],"out":[13],"available":[15],"IP":[16],"addresses.":[17],"It":[18,34],"is":[19,35,75,131,137],"clear":[20],"that":[21,130],"the":[22,39,42,54,85,93,98,191,198],"sensors":[25],"follows":[26],"this":[27,117,138],"trend,":[28],"thus":[29,76,101],"inducing":[30],"large":[31,52],"sensor":[32],"networks.":[33],"insightful":[36],"to":[37,69,80,133,141],"make":[38],"comparison":[40],"huge":[43],"processors":[46],"modern":[48],"supercomputers.":[49],"In":[50],"such":[51],"networks,":[53],"problem":[55],"node":[57,148],"faults":[58,62],"necessarily":[59],"arises,":[60],"often":[63],"happening":[64],"in":[65,116,123],"clusters.":[66,149,200],"tolerance":[68],"faults,":[70,74],"and":[71,106,111],"especially":[72],"cluster":[73],"critical.":[77],"Furthermore,":[78],"thanks":[79],"its":[81,103],"advantageous":[82],"topological":[83],"properties,":[84],"torus":[86,129],"interconnection":[87],"network":[88],"has":[89],"been":[90],"adopted":[91],"by":[92,197],"major":[94],"supercomputer":[95],"manufacturers":[96],"recent":[99],"years,":[100],"proving":[102],"applicability.":[104],"Acknowledging":[105],"embracing":[107],"these":[108],"two":[109],"technological":[110],"industrial":[112],"aspects,":[113],"we":[114],"propose":[115],"paper":[118],"a":[119,154],"node-to-node":[120],"routing":[121],"algorithm":[122,139,152],"an":[124,175],"n":[125,161,178],"-dimensional":[126],"k":[127,164,167,180],"-ary":[128],"tolerant":[132,140],"faults.":[134],"Not":[135],"only":[136],"faulty":[142,147,194,199],"nodes,":[143],"it":[144],"also":[145],"tolerates":[146],"described":[151],"selects":[153],"fault-free":[155],"path":[156],"length":[158],"at":[159],"most":[160],"(":[162,177],"2":[163,169,172,179,181],"+":[165],"\u230a":[166],"/":[168],"\u230b":[170],"\u2212":[171],")":[173,185],"O":[176],"|":[182,184],"F":[183,190],"worst-case":[186],"time":[187],"complexity":[188],"set":[192],"nodes":[195],"induced":[196]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":6},{"year":2022,"cited_by_count":6},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1}],"updated_date":"2026-07-22T07:51:19.307946","created_date":"2025-10-10T00:00:00"}