{"id":"https://openalex.org/W1964155402","doi":"https://doi.org/10.1093/comjnl/bxr135","title":"The Set-to-Set Disjoint-Path Problem in Perfect Hierarchical Hypercubes","display_name":"The Set-to-Set Disjoint-Path Problem in Perfect Hierarchical Hypercubes","publication_year":2012,"publication_date":"2012-01-05","ids":{"openalex":"https://openalex.org/W1964155402","doi":"https://doi.org/10.1093/comjnl/bxr135","mag":"1964155402"},"language":"en","primary_location":{"id":"doi:10.1093/comjnl/bxr135","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxr135","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","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"]},{"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","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"]},{"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":3.2675,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.92022509,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"55","issue":"6","first_page":"769","last_page":"775"},"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":0.9952999949455261,"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/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9898999929428101,"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/hypercube","display_name":"Hypercube","score":0.8506991267204285},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7529394626617432},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6437191367149353},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.595176637172699},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.5949024558067322},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.5796395540237427},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.575982391834259},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.5722120404243469},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.4572034478187561},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.4403783082962036},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3636784553527832},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3588590919971466},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3074861764907837},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.26297879219055176},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.25846102833747864},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.20928451418876648},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.20189204812049866}],"concepts":[{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8506991267204285},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7529394626617432},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6437191367149353},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.595176637172699},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.5949024558067322},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.5796395540237427},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.575982391834259},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.5722120404243469},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.4572034478187561},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.4403783082962036},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3636784553527832},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3588590919971466},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3074861764907837},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.26297879219055176},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25846102833747864},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.20928451418876648},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.20189204812049866},{"id":"https://openalex.org/C127413603","wikidata":"https://www.wikidata.org/wiki/Q11023","display_name":"Engineering","level":0,"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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"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/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/bxr135","is_oa":false,"landing_page_url":"https://doi.org/10.1093/comjnl/bxr135","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:10.1.1.993.7457","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.993.7457","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/55/6/769.full.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G3790880665","display_name":"Development of Cluster-Fault-Tolerant Routing Algorithms in Cayley Graphs","funder_award_id":"22500041","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":6,"referenced_works":["https://openalex.org/W636288051","https://openalex.org/W976211528","https://openalex.org/W1991804855","https://openalex.org/W2025519369","https://openalex.org/W2041735699","https://openalex.org/W2118354649"],"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/W2161277141"],"abstract_inverted_index":{"The":[0],"perfect":[1,56],"hierarchical":[2],"hypercube":[3],"(HHC)":[4],"interconnection":[5,36],"network":[6],"has":[7],"been":[8],"introduced":[9],"in":[10,44,55,100],"the":[11,50,70,79,84],"literature":[12],"recently.":[13],"An":[14],"HHC":[15],"can":[16,73],"connect":[17],"many":[18],"nodes":[19,66,80,85],"while":[20],"retaining":[21],"a":[22,26,32],"low":[23],"degree":[24],"and":[25,68,83],"small":[27],"diameter.":[28],"It":[29],"is":[30],"thus":[31],"suitable":[33],"topology":[34],"for":[35],"networks":[37],"of":[38,64,81,86,88],"massively":[39],"parallel":[40],"systems.":[41],"We":[42],"describe":[43],"this":[45],"paper":[46],"an":[47,59],"algorithm":[48,72],"solving":[49],"set-to-set":[51],"disjoint-path":[52],"routing":[53],"problem":[54],"HHCs.":[57],"In":[58],"HHC2m+m,":[60],"given":[61],"two":[62],"sets":[63],"m+1":[65,75],"S":[67,82],"D,":[69],"proposed":[71],"find":[74],"node-disjoint":[76],"paths":[77],"between":[78],"D":[87],"lengths":[89],"at":[90],"most":[91],"(m+1)":[92],"(2m":[93],"+":[94,96,98],"m":[95],"4)":[97],"3":[99],"O(m2":[101],"22m)":[102],"time":[103],"complexity.":[104]},"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":2},{"year":2021,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2018,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":3},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}