{"id":"https://openalex.org/W2905192983","doi":"https://doi.org/10.1109/memcod.2018.8556886","title":"Optimal Self-Routing Split Modules for Radix-based Interconnection Networks","display_name":"Optimal Self-Routing Split Modules for Radix-based Interconnection Networks","publication_year":2018,"publication_date":"2018-10-01","ids":{"openalex":"https://openalex.org/W2905192983","doi":"https://doi.org/10.1109/memcod.2018.8556886","mag":"2905192983"},"language":"en","primary_location":{"id":"doi:10.1109/memcod.2018.8556886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/memcod.2018.8556886","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 16th ACM/IEEE International Conference on Formal Methods and Models for System Design (MEMOCODE)","raw_type":"proceedings-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/A5112023409","display_name":"Tripti Jain","orcid":null},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"Tripti Jain","raw_affiliation_strings":["Department of Computer Science, TU Kaiserslautern, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, TU Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5081184867","display_name":"Klaus Schneider","orcid":"https://orcid.org/0000-0002-1305-7132"},"institutions":[{"id":"https://openalex.org/I153267046","display_name":"University of Kaiserslautern","ror":"https://ror.org/04zrf7b53","country_code":"DE","type":"education","lineage":["https://openalex.org/I153267046"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Klaus Schneider","raw_affiliation_strings":["Department of Computer Science, TU Kaiserslautern, Germany"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, TU Kaiserslautern, Germany","institution_ids":["https://openalex.org/I153267046"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5112023409"],"corresponding_institution_ids":["https://openalex.org/I153267046"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.17807662,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"1","last_page":"10"},"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/T11005","display_name":"Radiation Effects in Electronics","score":0.9958999752998352,"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"}},{"id":"https://openalex.org/T10018","display_name":"Advancements in Battery Materials","score":0.994700014591217,"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/computer-science","display_name":"Computer science","score":0.7302135825157166},{"id":"https://openalex.org/keywords/sorting-network","display_name":"Sorting network","score":0.7036616206169128},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6464745998382568},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.5997335314750671},{"id":"https://openalex.org/keywords/static-routing","display_name":"Static routing","score":0.5951435565948486},{"id":"https://openalex.org/keywords/interconnection","display_name":"Interconnection","score":0.5574785470962524},{"id":"https://openalex.org/keywords/routing-table","display_name":"Routing table","score":0.5334128737449646},{"id":"https://openalex.org/keywords/link-state-routing-protocol","display_name":"Link-state routing protocol","score":0.521875262260437},{"id":"https://openalex.org/keywords/sorting","display_name":"Sorting","score":0.5074862837791443},{"id":"https://openalex.org/keywords/multipath-routing","display_name":"Multipath routing","score":0.48015183210372925},{"id":"https://openalex.org/keywords/partition","display_name":"Partition (number theory)","score":0.4172724187374115},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.35181698203086853},{"id":"https://openalex.org/keywords/distributed-computing","display_name":"Distributed computing","score":0.33464062213897705},{"id":"https://openalex.org/keywords/parallel-computing","display_name":"Parallel computing","score":0.33298003673553467},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.31892892718315125},{"id":"https://openalex.org/keywords/routing-protocol","display_name":"Routing protocol","score":0.30818986892700195},{"id":"https://openalex.org/keywords/sorting-algorithm","display_name":"Sorting algorithm","score":0.25930988788604736},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.2117929458618164}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.7302135825157166},{"id":"https://openalex.org/C64540648","wikidata":"https://www.wikidata.org/wiki/Q646477","display_name":"Sorting network","level":4,"score":0.7036616206169128},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6464745998382568},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.5997335314750671},{"id":"https://openalex.org/C204948658","wikidata":"https://www.wikidata.org/wiki/Q1119410","display_name":"Static routing","level":4,"score":0.5951435565948486},{"id":"https://openalex.org/C123745756","wikidata":"https://www.wikidata.org/wiki/Q1665949","display_name":"Interconnection","level":2,"score":0.5574785470962524},{"id":"https://openalex.org/C184896649","wikidata":"https://www.wikidata.org/wiki/Q290066","display_name":"Routing table","level":4,"score":0.5334128737449646},{"id":"https://openalex.org/C89305328","wikidata":"https://www.wikidata.org/wiki/Q1755411","display_name":"Link-state routing protocol","level":4,"score":0.521875262260437},{"id":"https://openalex.org/C111696304","wikidata":"https://www.wikidata.org/wiki/Q2303697","display_name":"Sorting","level":2,"score":0.5074862837791443},{"id":"https://openalex.org/C76522221","wikidata":"https://www.wikidata.org/wiki/Q5035396","display_name":"Multipath routing","level":5,"score":0.48015183210372925},{"id":"https://openalex.org/C42812","wikidata":"https://www.wikidata.org/wiki/Q1082910","display_name":"Partition (number theory)","level":2,"score":0.4172724187374115},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.35181698203086853},{"id":"https://openalex.org/C120314980","wikidata":"https://www.wikidata.org/wiki/Q180634","display_name":"Distributed computing","level":1,"score":0.33464062213897705},{"id":"https://openalex.org/C173608175","wikidata":"https://www.wikidata.org/wiki/Q232661","display_name":"Parallel computing","level":1,"score":0.33298003673553467},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.31892892718315125},{"id":"https://openalex.org/C104954878","wikidata":"https://www.wikidata.org/wiki/Q1648707","display_name":"Routing protocol","level":3,"score":0.30818986892700195},{"id":"https://openalex.org/C108094655","wikidata":"https://www.wikidata.org/wiki/Q181593","display_name":"Sorting algorithm","level":3,"score":0.25930988788604736},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.2117929458618164},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/memcod.2018.8556886","is_oa":false,"landing_page_url":"https://doi.org/10.1109/memcod.2018.8556886","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2018 16th ACM/IEEE International Conference on Formal Methods and Models for System Design (MEMOCODE)","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":63,"referenced_works":["https://openalex.org/W61634951","https://openalex.org/W73629738","https://openalex.org/W1493505562","https://openalex.org/W1501077214","https://openalex.org/W1505491724","https://openalex.org/W1517585663","https://openalex.org/W1531368310","https://openalex.org/W1564514837","https://openalex.org/W1587590810","https://openalex.org/W1662328649","https://openalex.org/W1698340567","https://openalex.org/W1726079515","https://openalex.org/W1805500839","https://openalex.org/W1887311811","https://openalex.org/W1974784305","https://openalex.org/W1976479454","https://openalex.org/W1977571888","https://openalex.org/W1978164133","https://openalex.org/W1990267351","https://openalex.org/W2011849452","https://openalex.org/W2030922506","https://openalex.org/W2034955722","https://openalex.org/W2043266636","https://openalex.org/W2044548351","https://openalex.org/W2063292248","https://openalex.org/W2066458832","https://openalex.org/W2067081749","https://openalex.org/W2082385702","https://openalex.org/W2085319748","https://openalex.org/W2096313289","https://openalex.org/W2114870379","https://openalex.org/W2117520458","https://openalex.org/W2120228177","https://openalex.org/W2135947017","https://openalex.org/W2141389982","https://openalex.org/W2147229907","https://openalex.org/W2152278102","https://openalex.org/W2154369388","https://openalex.org/W2164309468","https://openalex.org/W2208979138","https://openalex.org/W2398066697","https://openalex.org/W2561244296","https://openalex.org/W2584482282","https://openalex.org/W2732697010","https://openalex.org/W2766664107","https://openalex.org/W2787229706","https://openalex.org/W2795699330","https://openalex.org/W2889362447","https://openalex.org/W2966464633","https://openalex.org/W3103995256","https://openalex.org/W3145128584","https://openalex.org/W3198160809","https://openalex.org/W4206794571","https://openalex.org/W4210727445","https://openalex.org/W6602513662","https://openalex.org/W6631859865","https://openalex.org/W6637495428","https://openalex.org/W6639411852","https://openalex.org/W6661324142","https://openalex.org/W6667200710","https://openalex.org/W6680874277","https://openalex.org/W6682455496","https://openalex.org/W6766429575"],"related_works":["https://openalex.org/W3127002380","https://openalex.org/W2607223747","https://openalex.org/W2082566976","https://openalex.org/W1563839700","https://openalex.org/W2154440508","https://openalex.org/W2613682624","https://openalex.org/W2369989480","https://openalex.org/W3163333513","https://openalex.org/W2361465121","https://openalex.org/W2748154437"],"abstract_inverted_index":{"Radix-based":[0],"interconnection":[1],"networks":[2,27,34,43,69,104],"recursively":[3],"partition":[4],"the":[5,9,73,101,108,127],"messages":[6],"according":[7],"to":[8,86,129],"most":[10],"significant":[11],"bits":[12],"of":[13,148],"their":[14],"target":[15],"addresses.":[16],"The":[17],"required":[18,57],"split":[19,76,90,117,123,143],"modules":[20,91,144],"are":[21,35,70,105],"usually":[22],"implemented":[23],"by":[24,29],"binary":[25],"sorting":[26,33,59,68,93,103],"or":[28],"permutation":[30,42],"networks.":[31,60,94],"While":[32],"self-routing,":[36],"it":[37],"can":[38,112],"be":[39,45],"proven":[40],"that":[41,48,67,98],"cannot":[44],"self-routing":[46,75,89,116,122,142],"so":[47],"they":[49],"require":[50],"additional":[51],"configuration":[52],"logic":[53],"which":[54],"is":[55],"not":[56,72],"for":[58,107,145],"In":[61,78],"this":[62],"paper,":[63],"we":[64,80,96,111,125,136],"point":[65],"out":[66],"however":[71],"best":[74,102],"modules.":[77,118],"particular,":[79],"first":[81],"use":[82],"our":[83],"previous":[84],"work":[85],"construct":[87],"better":[88,115],"from":[92],"Second,":[95],"show":[97],"even":[99],"if":[100],"used":[106],"latter":[109],"construction,":[110],"still":[113],"find":[114],"To":[119],"determine":[120],"optimal":[121],"modules,":[124],"reduce":[126],"problem":[128],"an":[130],"equivalent":[131],"model-checking":[132],"problem.":[133],"Using":[134],"this,":[135],"derive":[137],"provably":[138],"optimal-depth":[139],"and":[140],"optimal-size":[141],"small":[146],"numbers":[147],"inputs.":[149]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
