{"id":"https://openalex.org/W2092271297","doi":"https://doi.org/10.1002/(sici)1097-0037(199803)31:2<105::aid-net5>3.0.co;2-l","title":"Topological properties and algorithms for two-level hypernet networks","display_name":"Topological properties and algorithms for two-level hypernet networks","publication_year":1998,"publication_date":"1998-03-01","ids":{"openalex":"https://openalex.org/W2092271297","doi":"https://doi.org/10.1002/(sici)1097-0037(199803)31:2<105::aid-net5>3.0.co;2-l","mag":"2092271297"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0037(199803)31:2<105::aid-net5>3.0.co;2-l","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199803)31:2<105::aid-net5>3.0.co;2-l","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/A5103844130","display_name":"Hui-Ling Huang","orcid":null},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":false,"raw_author_name":"Hui-Ling Huang","raw_affiliation_strings":["Department of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan","[dept. of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"[dept. of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan]","institution_ids":["https://openalex.org/I16733864"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5004968111","display_name":"Gen-Huey Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I16733864","display_name":"National Taiwan University","ror":"https://ror.org/05bqach95","country_code":"TW","type":"education","lineage":["https://openalex.org/I16733864"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Gen-Huey Chen","raw_affiliation_strings":["Department of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan","[dept. of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan]"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan","institution_ids":["https://openalex.org/I16733864"]},{"raw_affiliation_string":"[dept. of Computer Science and Information Engineering, National Taiwan University, Taipei, Taiwan]","institution_ids":["https://openalex.org/I16733864"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5004968111"],"corresponding_institution_ids":["https://openalex.org/I16733864"],"apc_list":{"value":3400,"currency":"USD","value_usd":3400},"apc_paid":null,"fwci":0.5112,"has_fulltext":false,"cited_by_count":3,"citation_normalized_percentile":{"value":0.75233448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"31","issue":"2","first_page":"105","last_page":"118"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9998999834060669,"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":0.9998999834060669,"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":0.998199999332428,"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"}},{"id":"https://openalex.org/T11522","display_name":"VLSI and FPGA Design Techniques","score":0.9950000047683716,"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/scalability","display_name":"Scalability","score":0.6964668035507202},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.680724024772644},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6245015263557434},{"id":"https://openalex.org/keywords/shortest-path-problem","display_name":"Shortest path problem","score":0.5978037118911743},{"id":"https://openalex.org/keywords/embedding","display_name":"Embedding","score":0.5756110548973083},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.5528384447097778},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.5300604701042175},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.5272734761238098},{"id":"https://openalex.org/keywords/path","display_name":"Path (computing)","score":0.49316686391830444},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.4589806795120239},{"id":"https://openalex.org/keywords/average-path-length","display_name":"Average path length","score":0.45896410942077637},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.43849706649780273},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.36842256784439087},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.31215497851371765},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.20152291655540466},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.10736283659934998},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10400795936584473},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.10201707482337952},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.0818195641040802}],"concepts":[{"id":"https://openalex.org/C48044578","wikidata":"https://www.wikidata.org/wiki/Q727490","display_name":"Scalability","level":2,"score":0.6964668035507202},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.680724024772644},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6245015263557434},{"id":"https://openalex.org/C22590252","wikidata":"https://www.wikidata.org/wiki/Q1058754","display_name":"Shortest path problem","level":3,"score":0.5978037118911743},{"id":"https://openalex.org/C41608201","wikidata":"https://www.wikidata.org/wiki/Q980509","display_name":"Embedding","level":2,"score":0.5756110548973083},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.5528384447097778},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.5300604701042175},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.5272734761238098},{"id":"https://openalex.org/C2777735758","wikidata":"https://www.wikidata.org/wiki/Q817765","display_name":"Path (computing)","level":2,"score":0.49316686391830444},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.4589806795120239},{"id":"https://openalex.org/C91886571","wikidata":"https://www.wikidata.org/wiki/Q432520","display_name":"Average path length","level":4,"score":0.45896410942077637},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.43849706649780273},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.36842256784439087},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.31215497851371765},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.20152291655540466},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.10736283659934998},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10400795936584473},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10201707482337952},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0818195641040802},{"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},{"id":"https://openalex.org/C77088390","wikidata":"https://www.wikidata.org/wiki/Q8513","display_name":"Database","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-0037(199803)31:2<105::aid-net5>3.0.co;2-l","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199803)31:2<105::aid-net5>3.0.co;2-l","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/9","display_name":"Industry, innovation and infrastructure","score":0.5099999904632568}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2495029940","https://openalex.org/W2007173733","https://openalex.org/W2087725382","https://openalex.org/W2392648935","https://openalex.org/W4322716869","https://openalex.org/W2143269753","https://openalex.org/W2279178133","https://openalex.org/W2012106299","https://openalex.org/W226105639","https://openalex.org/W2151713270"],"abstract_inverted_index":{"Although":[0],"many":[1],"networks":[2,61],"have":[3],"been":[4],"proposed":[5,50],"as":[6],"the":[7,34,73,76,91,97,106,109,135,148,153,157],"topology":[8],"of":[9,17,23,36,58,67,93,108,137,159,176],"a":[10,56,143],"large-scale":[11],"parallel":[12],"and":[13,39,53,66,83,90,113,150,173,179],"distributed":[14],"system,":[15],"most":[16,87],"them":[18],"are":[19,63,99],"neither":[20],"expansible":[21,65],"nor":[22],"equal":[24,68],"degree.":[25,69],"A":[26],"network":[27],"with":[28],"these":[29],"two":[30,74,160],"properties":[31,89],"will":[32],"gain":[33],"advantages":[35],"easy":[37],"implementation":[38],"low":[40],"cost":[41],"when":[42],"it":[43],"is":[44,104,111],"manufactured.":[45],"The":[46,102],"hypernet,":[47],"which":[48],"was":[49,120],"by":[51],"Hwang":[52],"Ghosh,":[54],"represents":[55],"family":[57],"recursively":[59],"scalable":[60],"that":[62,105],"both":[64],"In":[70,123],"addition":[71],"to":[72],"merits,":[75],"hypernet":[77,98,110,136,149,158],"has":[78],"proven":[79],"efficient":[80],"for":[81,96,147,156],"communication":[82],"computation.":[84],"But,":[85],"unfortunately,":[86],"topological":[88],"problem":[92],"shortest-path":[94,163],"routing":[95],"still":[100],"unsolved.":[101],"reason":[103],"structure":[107],"complex":[112],"asymmetric,":[114],"and,":[115],"especially,":[116],"no":[117],"mathematical":[118,145],"description":[119],"given":[121],"before.":[122],"this":[124],"paper,":[125],"considering":[126],"current":[127],"hardware":[128],"restrictions,":[129],"we":[130],"concentrate":[131],"our":[132],"effort":[133],"on":[134],"moderate":[138],"size.":[139],"We":[140],"first":[141],"give":[142],"concise":[144],"definition":[146],"then":[151],"solve":[152],"following":[154],"problems":[155],"levels:":[161],"(1)":[162],"routing,":[164],"(2)":[165],"diameter,":[166],"(3)":[167],"connectivity,":[168],"(4)":[169],"minimum-height":[170],"spanning":[171],"trees,":[172],"(5)":[174],"embedding":[175],"rings,":[177],"tori,":[178],"hypercubes.":[180],"\u00a9":[181],"1998":[182,190],"John":[183],"Wiley":[184],"&":[185],"Sons,":[186],"Inc.":[187],"Networks":[188],"31:105\u2013118,":[189]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}