{"id":"https://openalex.org/W1991216722","doi":"https://doi.org/10.1002/net.3230230421","title":"Construction of large\u2010size interconnection networks with high performance","display_name":"Construction of large\u2010size interconnection networks with high performance","publication_year":1993,"publication_date":"1993-07-01","ids":{"openalex":"https://openalex.org/W1991216722","doi":"https://doi.org/10.1002/net.3230230421","mag":"1991216722"},"language":"en","primary_location":{"id":"doi:10.1002/net.3230230421","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230230421","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/A5070128994","display_name":"Hong Shen","orcid":"https://orcid.org/0000-0002-3663-6591"},"institutions":[{"id":"https://openalex.org/I130217899","display_name":"\u00c5bo Akademi University","ror":"https://ror.org/029pk6x14","country_code":"FI","type":"education","lineage":["https://openalex.org/I130217899"]}],"countries":["FI"],"is_corresponding":true,"raw_author_name":"Hong Shen","raw_affiliation_strings":["Department of Computer Science, A\u030abo Akademi University, Lemminka\u0308isenkatu 14, SF-20520 Turku, Finland","Department of Computer Science, \u00c5bo Akademi University, Lemmink\u00e4isenkatu 14, SF\u201020520 Turku, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, A\u030abo Akademi University, Lemminka\u0308isenkatu 14, SF-20520 Turku, Finland","institution_ids":["https://openalex.org/I130217899"]},{"raw_affiliation_string":"Department of Computer Science, \u00c5bo Akademi University, Lemmink\u00e4isenkatu 14, SF\u201020520 Turku, Finland","institution_ids":["https://openalex.org/I130217899"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5113974050","display_name":"Ralph\u2010Johan Back","orcid":null},"institutions":[{"id":"https://openalex.org/I130217899","display_name":"\u00c5bo Akademi University","ror":"https://ror.org/029pk6x14","country_code":"FI","type":"education","lineage":["https://openalex.org/I130217899"]}],"countries":["FI"],"is_corresponding":false,"raw_author_name":"Ralph\u2010Johan Back","raw_affiliation_strings":["Department of Computer Science, A\u030abo Akademi University, Lemminka\u0308isenkatu 14, SF-20520 Turku, Finland","Department of Computer Science, \u00c5bo Akademi University, Lemmink\u00e4isenkatu 14, SF\u201020520 Turku, Finland"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, A\u030abo Akademi University, Lemminka\u0308isenkatu 14, SF-20520 Turku, Finland","institution_ids":["https://openalex.org/I130217899"]},{"raw_affiliation_string":"Department of Computer Science, \u00c5bo Akademi University, Lemmink\u00e4isenkatu 14, SF\u201020520 Turku, Finland","institution_ids":["https://openalex.org/I130217899"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5070128994"],"corresponding_institution_ids":["https://openalex.org/I130217899"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.17570616,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"23","issue":"4","first_page":"399","last_page":"414"},"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/T10179","display_name":"Supercapacitor Materials and Fabrication","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2504","display_name":"Electronic, Optical and Magnetic Materials"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10083","display_name":"Graphene research and applications","score":0.9855999946594238,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.7892024517059326},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6854537129402161},{"id":"https://openalex.org/keywords/binary-logarithm","display_name":"Binary logarithm","score":0.6172612309455872},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.6073941588401794},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4826853275299072},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4728805422782898},{"id":"https://openalex.org/keywords/frame","display_name":"Frame (networking)","score":0.4638988971710205},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4638946056365967},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4495925307273865},{"id":"https://openalex.org/keywords/basis","display_name":"Basis (linear algebra)","score":0.41852471232414246},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.40865445137023926},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.38762739300727844},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.37874001264572144},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36835354566574097},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.09792309999465942}],"concepts":[{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.7892024517059326},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6854537129402161},{"id":"https://openalex.org/C63553672","wikidata":"https://www.wikidata.org/wiki/Q581168","display_name":"Binary logarithm","level":2,"score":0.6172612309455872},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.6073941588401794},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4826853275299072},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4728805422782898},{"id":"https://openalex.org/C126042441","wikidata":"https://www.wikidata.org/wiki/Q1324888","display_name":"Frame (networking)","level":2,"score":0.4638988971710205},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4638946056365967},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4495925307273865},{"id":"https://openalex.org/C12426560","wikidata":"https://www.wikidata.org/wiki/Q189569","display_name":"Basis (linear algebra)","level":2,"score":0.41852471232414246},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.40865445137023926},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.38762739300727844},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.37874001264572144},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36835354566574097},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.09792309999465942},{"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/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","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/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/net.3230230421","is_oa":false,"landing_page_url":"https://doi.org/10.1002/net.3230230421","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":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W1495591881","https://openalex.org/W1589943916","https://openalex.org/W1983371431","https://openalex.org/W1996531475","https://openalex.org/W2085013213","https://openalex.org/W2085319748","https://openalex.org/W2119733312","https://openalex.org/W2158365276"],"related_works":["https://openalex.org/W2408672689","https://openalex.org/W2164804258","https://openalex.org/W228919569","https://openalex.org/W1524302211","https://openalex.org/W2179700442","https://openalex.org/W2131847912","https://openalex.org/W2121806818","https://openalex.org/W2115084062","https://openalex.org/W2161277141","https://openalex.org/W2123417578"],"abstract_inverted_index":{"Abstract":[0],"This":[1,183],"paper":[2,184],"proposes":[3],"a":[4,29,32,39,54,68,74,80,200,214,221,235,256,276,285],"new":[5],"method,":[6,106],"recursive":[7],"expansion":[8],"(RE),":[9],"for":[10,188,259],"systematically":[11],"constructing":[12,190,199],"interconnection":[13,100],"networks":[14,78,132,163,194,260],"of":[15,25,41,56,58,70,76,82,96,104,202,213,216,223,307,311,319,327,329],"arbitrary":[16,191],"large":[17,192],"size":[18,85,193,203,224],"with":[19,49,67,133,195],"high":[20,173,196],"performance.":[21,197],"On":[22],"the":[23,34,47,59,65,77,83,105,107,114,117,124,211,232,308,312,317,320,325,333],"basis":[24,212],"two":[26],"small\u2010size":[27],"networks,":[28],"frame":[30,48,66,215,309],"and":[31,61,98,116,145,179,220,227,283,302,310,322],"unit,":[33,313],"RE":[35,166,209,263,330],"method":[36,129],"works":[37],"in":[38,46,64],"manner":[40],"recursively":[42],"replacing":[43],"each":[44,62,281],"node":[45,282],"an":[50,186],"expanded":[51],"network":[52,81,111,121,201],"containing":[53],"set":[55,69],"copies":[57],"unit":[60,222],"edge":[63],"interunit":[71],"connections":[72],"connecting":[73],"pair":[75],"until":[79],"desired":[84],"has":[86,234,284],"been":[87],"obtained.":[88],"By":[89],"RE,":[90],"we":[91],"can":[92,130,269],"construct":[93,332],"various":[94],"kinds":[95],"large\u2010size":[97],"low\u2010cost":[99],"networks.":[101],"Two":[102],"applications":[103],"\u210b\ufe01":[108,118],"\u03a3":[109,119],"r":[110,120,205,207,249,253,297,323],"based":[112,122],"on":[113,123,210],"torus":[115],"hypercube,":[125],"show":[126],"that":[127],"our":[128],"produce":[131],"cost":[134],"O((log":[135],"3/2":[136,139],"n":[137,141,148,151,156,204,225,242],")/(log":[138],"log":[140,149,150,155],"))":[142],"(degree":[143,153],"O(1))":[144],"O":[146],"(log":[147],")":[152,294],"O(log":[154],")).":[157],"In":[158],"addition":[159],"to":[160,331],"low":[161],"cost,":[162],"constructed":[164,261],"by":[165,262,337],"also":[167],"possess":[168],"other":[169],"properties":[170],"such":[171],"as":[172],"constructability,":[174],"good":[175],"extendability,":[176],"symmetric":[177],"topology,":[178],"efficient":[180],"message":[181,272],"routing.":[182],"describes":[185],"algorithm,":[187],"automatically":[189],"For":[198],"through":[206],"phases":[208,328],"degree":[217,228,318],"d":[218,229,239,246,295,314],"f":[219,240,293,296,304,315],"u":[226,230,243,247,290,301],",":[231],"algorithm":[233,258,268],"time":[236,286],"complexity":[237,287],"O((max{(":[238],"/":[241,248],"),":[244,298],"(":[245],")})":[250],"rn":[251],"2":[252],").":[254],"Finally,":[255],"routing":[257,267,273,278],"is":[264,316,324],"presented.":[265],"The":[266],"realize":[270],"point\u2010to\u2010point":[271],"without":[274],"using":[275],"global":[277],"table":[279],"at":[280],"O((":[288],"k":[289,292,300,303],"+":[291],"where":[299],"are":[305],"diameters":[306],"frame,":[321],"number":[326],"network.":[334],"\u00a9":[335],"1993":[336],"John":[338],"Wiley":[339],"&":[340],"Sons,":[341],"Inc.":[342]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}