{"id":"https://openalex.org/W1991196756","doi":"https://doi.org/10.1002/(sici)1097-0037(199601)27:1<53::aid-net5>3.0.co;2-d","title":"Components and graph automorphisms of standard 2 \ufffd 2-switch banyan networks","display_name":"Components and graph automorphisms of standard 2 \ufffd 2-switch banyan networks","publication_year":1996,"publication_date":"1996-01-01","ids":{"openalex":"https://openalex.org/W1991196756","doi":"https://doi.org/10.1002/(sici)1097-0037(199601)27:1<53::aid-net5>3.0.co;2-d","mag":"1991196756"},"language":"en","primary_location":{"id":"doi:10.1002/(sici)1097-0037(199601)27:1<53::aid-net5>3.0.co;2-d","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199601)27:1<53::aid-net5>3.0.co;2-d","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/A5014951227","display_name":"E. Hotzel","orcid":null},"institutions":[{"id":"https://openalex.org/I143379178","display_name":"FZI Research Center for Information Technology","ror":"https://ror.org/04kdh6x72","country_code":"DE","type":"nonprofit","lineage":["https://openalex.org/I143379178"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"E. Hotzel","raw_affiliation_strings":["GMD\u2014German National Research Center for Information Technology, Postfach 1316, 53731 St. Augustin 1, Germany"],"affiliations":[{"raw_affiliation_string":"GMD\u2014German National Research Center for Information Technology, Postfach 1316, 53731 St. Augustin 1, Germany","institution_ids":["https://openalex.org/I143379178"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5014951227"],"corresponding_institution_ids":["https://openalex.org/I143379178"],"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":0.15499864,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"27","issue":"1","first_page":"53","last_page":"71"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9907000064849854,"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":0.9907000064849854,"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/T11737","display_name":"Advanced Materials and Mechanics","score":0.9182999730110168,"subfield":{"id":"https://openalex.org/subfields/2210","display_name":"Mechanical 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/banyan","display_name":"Banyan","score":0.9557477235794067},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.7053331136703491},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6086976528167725},{"id":"https://openalex.org/keywords/crossbar-switch","display_name":"Crossbar switch","score":0.5384599566459656},{"id":"https://openalex.org/keywords/graph","display_name":"Graph","score":0.47398319840431213},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4571714997291565},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.45374733209609985},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4412826597690582},{"id":"https://openalex.org/keywords/omega","display_name":"Omega","score":0.4342241883277893},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.4168928563594818},{"id":"https://openalex.org/keywords/topology","display_name":"Topology (electrical circuits)","score":0.39782121777534485},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3782937824726105},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.25471365451812744},{"id":"https://openalex.org/keywords/telecommunications","display_name":"Telecommunications","score":0.14003309607505798},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09486767649650574}],"concepts":[{"id":"https://openalex.org/C2780435913","wikidata":"https://www.wikidata.org/wiki/Q465570","display_name":"Banyan","level":2,"score":0.9557477235794067},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.7053331136703491},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6086976528167725},{"id":"https://openalex.org/C29984679","wikidata":"https://www.wikidata.org/wiki/Q1929149","display_name":"Crossbar switch","level":2,"score":0.5384599566459656},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.47398319840431213},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4571714997291565},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.45374733209609985},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4412826597690582},{"id":"https://openalex.org/C2779557605","wikidata":"https://www.wikidata.org/wiki/Q9890","display_name":"Omega","level":2,"score":0.4342241883277893},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.4168928563594818},{"id":"https://openalex.org/C184720557","wikidata":"https://www.wikidata.org/wiki/Q7825049","display_name":"Topology (electrical circuits)","level":2,"score":0.39782121777534485},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3782937824726105},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.25471365451812744},{"id":"https://openalex.org/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.14003309607505798},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09486767649650574},{"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/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1002/(sici)1097-0037(199601)27:1<53::aid-net5>3.0.co;2-d","is_oa":false,"landing_page_url":"https://doi.org/10.1002/(sici)1097-0037(199601)27:1<53::aid-net5>3.0.co;2-d","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2099719587","https://openalex.org/W2098462628","https://openalex.org/W1987749257","https://openalex.org/W2137189834","https://openalex.org/W1480349629","https://openalex.org/W137867661","https://openalex.org/W2011918548","https://openalex.org/W2228130850","https://openalex.org/W2171201372","https://openalex.org/W2148203197"],"abstract_inverted_index":{"The":[0,120,130],"standard":[1,134],"networks":[2,135],"of":[3,10,43,49,58,79,82,87,93,107,113,115,122,132],"this":[4,83],"paper":[5,84],"are":[6,85,126],"the":[7,23,47,50,56,59,80,91,94,99,105,116,123,133],"Omega":[8,60],"network":[9,19],"Lawrie":[11],"and":[12,17,70,72,76,102],"its":[13],"various":[14],"equivalent":[15],"counterparts":[16],"another":[18],"which":[20,45],"corresponds":[21],"to":[22,137],"inverse":[24],"CC-banyan":[25],"(or":[26],"restricted":[27],"data":[28],"manipulator)":[29],"but":[30],"is":[31,111],"also":[32],"built":[33],"from":[34,98],"2":[35],"\u00d7":[36],"2-crossbar":[37],"switches.":[38],"We":[39],"present":[40],"several":[41],"characterizations":[42],"graphs":[44,125],"determine":[46],"linkage":[48],"switches":[51],"in":[52],"these":[53,142],"networks.":[54],"For":[55],"graph":[57],"network,":[61],"such":[62],"a":[63],"characterization":[64],"has":[65],"been":[66],"given":[67],"by":[68,73,90,141],"Kruskal":[69],"Snir":[71],"Bermond,":[74],"Fourneau,":[75],"Jean-Marie.":[77],"Some":[78],"results":[81],"variants":[86],"or":[88],"inspired":[89],"findings":[92],"latter":[95],"authors.":[96],"Apart":[97],"banyan":[100],"property":[101],"conditions":[103],"on":[104],"components":[106],"certain":[108],"subgraphs,":[109],"use":[110],"made":[112],"variations":[114],"familiar":[117],"buddy":[118],"property.":[119],"automorphisms":[121],"aforementioned":[124],"determined":[127,140],"as":[128],"well.":[129],"structure":[131],"appears":[136],"be":[138],"largely":[139],"mappings.":[143],"\u00a9":[144],"1996":[145],"John":[146],"Wiley":[147],"&":[148],"Sons,":[149],"Inc.":[150]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}