{"id":"https://openalex.org/W4238250996","doi":"https://doi.org/10.1093/comjnl/bxs171","title":"Set-to-Set Disjoint Paths Routing in Hierarchical Cubic Networks","display_name":"Set-to-Set Disjoint Paths Routing in Hierarchical Cubic Networks","publication_year":2013,"publication_date":"2013-01-16","ids":{"openalex":"https://openalex.org/W4238250996","doi":"https://doi.org/10.1093/comjnl/bxs171"},"language":"en","primary_location":{"id":"doi:10.1093/comjnl/bxs171","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxs171","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","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/A5058447810","display_name":"Antoine Bossard","orcid":"https://orcid.org/0000-0001-9381-9346"},"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":true,"raw_author_name":"A. Bossard","raw_affiliation_strings":["Graduate School of Engineering, Tokyo University of Agriculture and Technology, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering, Tokyo University of Agriculture and Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I92614990"]}]},{"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":"K. Kaneko","raw_affiliation_strings":["Graduate School of Engineering, Tokyo University of Agriculture and Technology, Tokyo, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Graduate School of Engineering, Tokyo University of Agriculture and Technology, Tokyo, Japan","institution_ids":["https://openalex.org/I92614990"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5058447810"],"corresponding_institution_ids":["https://openalex.org/I92614990"],"apc_list":{"value":2635,"currency":"GBP","value_usd":3232},"apc_paid":null,"fwci":1.5536,"has_fulltext":false,"cited_by_count":13,"citation_normalized_percentile":{"value":0.87975297,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"57","issue":"2","first_page":"332","last_page":"337"},"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9979000091552734,"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/T10847","display_name":"Advanced Optical Network Technologies","score":0.9962000250816345,"subfield":{"id":"https://openalex.org/subfields/2208","display_name":"Electrical and Electronic Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.8016907572746277},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.7922390699386597},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.698541522026062},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5923810601234436},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.5750956535339355},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5550602674484253},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5045369863510132},{"id":"https://openalex.org/keywords/massively-parallel","display_name":"Massively parallel","score":0.496523916721344},{"id":"https://openalex.org/keywords/context","display_name":"Context (archaeology)","score":0.47038474678993225},{"id":"https://openalex.org/keywords/network-topology","display_name":"Network topology","score":0.4331778883934021},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.43004918098449707},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.3780977725982666},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3628014326095581},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35251909494400024},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.35096579790115356},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.28830623626708984},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.24669548869132996},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.23439469933509827},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.212985098361969},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.06573697924613953}],"concepts":[{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.8016907572746277},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.7922390699386597},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.698541522026062},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5923810601234436},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.5750956535339355},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5550602674484253},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5045369863510132},{"id":"https://openalex.org/C190475519","wikidata":"https://www.wikidata.org/wiki/Q544384","display_name":"Massively parallel","level":2,"score":0.496523916721344},{"id":"https://openalex.org/C2779343474","wikidata":"https://www.wikidata.org/wiki/Q3109175","display_name":"Context (archaeology)","level":2,"score":0.47038474678993225},{"id":"https://openalex.org/C199845137","wikidata":"https://www.wikidata.org/wiki/Q145490","display_name":"Network topology","level":2,"score":0.4331778883934021},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.43004918098449707},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.3780977725982666},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3628014326095581},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35251909494400024},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.35096579790115356},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.28830623626708984},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.24669548869132996},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.23439469933509827},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.212985098361969},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.06573697924613953},{"id":"https://openalex.org/C151730666","wikidata":"https://www.wikidata.org/wiki/Q7205","display_name":"Paleontology","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/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","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":2,"locations":[{"id":"doi:10.1093/comjnl/bxs171","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxs171","pdf_url":null,"source":{"id":"https://openalex.org/S44643521","display_name":"The Computer Journal","issn_l":"0010-4620","issn":["0010-4620","1460-2067"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310311648","host_organization_name":"Oxford University Press","host_organization_lineage":["https://openalex.org/P4310311648","https://openalex.org/P4310311647"],"host_organization_lineage_names":["Oxford University Press","University of Oxford"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The Computer Journal","raw_type":"journal-article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.948.8270","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.948.8270","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://comjnl.oxfordjournals.org/content/57/2/332.full.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G833786237","display_name":"Development of Stochastic Fault-tolerant Routing Methods in Cayley Graphs","funder_award_id":"25330079","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":0,"referenced_works":[],"related_works":["https://openalex.org/W2408672689","https://openalex.org/W2164804258","https://openalex.org/W228919569","https://openalex.org/W1524302211","https://openalex.org/W2161886274","https://openalex.org/W2179700442","https://openalex.org/W2131847912","https://openalex.org/W2121806818","https://openalex.org/W2115084062","https://openalex.org/W2133808983"],"abstract_inverted_index":{"Due":[0],"to":[1,17,64],"its":[2,105],"simplicity,":[3],"the":[4,21,34,46,60,76,92,100],"hypercube":[5,77,98],"topology":[6,28,78],"is":[7,29,107],"popular":[8],"as":[9,45],"interconnection":[10],"network":[11],"of":[12,20,23,36,52,54,75,91,94,96,99,130,138],"parallel":[13,42],"systems.":[14],"However,":[15],"due":[16],"physical":[18],"restrictions":[19],"number":[22,93],"links":[24],"per":[25],"node,":[26],"this":[27,113],"no":[30],"more":[31],"satisfactory":[32],"in":[33,112,121,143],"context":[35],"modern":[37],"supercomputing.":[38],"Effectively,":[39],"today":[40],"massively":[41],"systems,":[43],"such":[44],"Fujitsu":[47],"K":[48],"computer,":[49],"connect":[50],"hundreds":[51],"thousands":[53],"nodes":[55,58,131],"(705":[56],"024":[57],"for":[59],"K,":[61],"connected":[62],"according":[63],"a":[65,73,115],"six-dimensional":[66],"torus":[67],"network).":[68],"Focusing":[69],"on":[70],"degree":[71],"reduction,":[72],"variation":[74],"called":[79],"hierarchical":[80],"cubic":[81],"networks":[82],"(HCNs)":[83],"was":[84],"described.":[85],"An":[86],"HCN":[87,123],"contains":[88],"almost":[89],"half":[90],"edges":[95],"an":[97,122],"same":[101],"size,":[102],"and":[103],"additionally,":[104],"diameter":[106],"also":[108],"smaller.":[109],"We":[110],"describe":[111],"paper":[114],"set-to-set":[116],"disjoint":[117,128],"paths":[118,137],"routing":[119],"algorithm":[120],"(n),":[124],"finding":[125],"between":[126],"two":[127],"sets":[129],"at":[132,140],"most":[133,141],"n+1":[134],"mutually":[135],"node-disjoint":[136],"lengths":[139],"6n+3":[142],"O(n2log":[144],"n)":[145],"time.":[146]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":3},{"year":2015,"cited_by_count":2},{"year":2014,"cited_by_count":2}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2025-10-10T00:00:00"}
