{"id":"https://openalex.org/W2060150937","doi":"https://doi.org/10.1137/s0895480194275175","title":"Congestion-free Optimal Routings of Hypercube Automorphisms","display_name":"Congestion-free Optimal Routings of Hypercube Automorphisms","publication_year":1997,"publication_date":"1997-05-01","ids":{"openalex":"https://openalex.org/W2060150937","doi":"https://doi.org/10.1137/s0895480194275175","mag":"2060150937"},"language":"en","primary_location":{"id":"doi:10.1137/s0895480194275175","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480194275175","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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/A5069330395","display_name":"Mark Ramras","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Mark Ramras","raw_affiliation_strings":[],"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5069330395"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.5024,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.65374357,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"10","issue":"2","first_page":"201","last_page":"208"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9983999729156494,"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"}},"topics":[{"id":"https://openalex.org/T10374","display_name":"Advanced Graph Theory Research","score":0.9983999729156494,"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/T10829","display_name":"Interconnection Networks and Systems","score":0.9977999925613403,"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/T11797","display_name":"graph theory and CDMA systems","score":0.9944999814033508,"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":0.7469675540924072},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6999742984771729},{"id":"https://openalex.org/keywords/automorphism","display_name":"Automorphism","score":0.6760355234146118},{"id":"https://openalex.org/keywords/routing","display_name":"Routing (electronic design automation)","score":0.6425413489341736},{"id":"https://openalex.org/keywords/permutation","display_name":"Permutation (music)","score":0.6268576979637146},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.48277464509010315},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.45402321219444275},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3728458881378174},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.24008962512016296},{"id":"https://openalex.org/keywords/computer-network","display_name":"Computer network","score":0.10613152384757996}],"concepts":[{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.7469675540924072},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6999742984771729},{"id":"https://openalex.org/C118712358","wikidata":"https://www.wikidata.org/wiki/Q782566","display_name":"Automorphism","level":2,"score":0.6760355234146118},{"id":"https://openalex.org/C74172769","wikidata":"https://www.wikidata.org/wiki/Q1446839","display_name":"Routing (electronic design automation)","level":2,"score":0.6425413489341736},{"id":"https://openalex.org/C21308566","wikidata":"https://www.wikidata.org/wiki/Q7169365","display_name":"Permutation (music)","level":2,"score":0.6268576979637146},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.48277464509010315},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.45402321219444275},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3728458881378174},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.24008962512016296},{"id":"https://openalex.org/C31258907","wikidata":"https://www.wikidata.org/wiki/Q1301371","display_name":"Computer network","level":1,"score":0.10613152384757996},{"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/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1137/s0895480194275175","is_oa":false,"landing_page_url":"https://doi.org/10.1137/s0895480194275175","pdf_url":null,"source":{"id":"https://openalex.org/S117679221","display_name":"SIAM Journal on Discrete Mathematics","issn_l":"0895-4801","issn":["0895-4801","1095-7146"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320508","host_organization_name":"Society for Industrial and Applied Mathematics","host_organization_lineage":["https://openalex.org/P4310320508"],"host_organization_lineage_names":["Society for Industrial and Applied Mathematics"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"SIAM Journal on Discrete Mathematics","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":7,"referenced_works":["https://openalex.org/W1851212222","https://openalex.org/W1982291599","https://openalex.org/W1992023264","https://openalex.org/W2088744235","https://openalex.org/W2164853966","https://openalex.org/W2169273991","https://openalex.org/W4241840173"],"related_works":["https://openalex.org/W4286907761","https://openalex.org/W2916710807","https://openalex.org/W2413588304","https://openalex.org/W2774705104","https://openalex.org/W2009411567","https://openalex.org/W2077931840","https://openalex.org/W4300632729","https://openalex.org/W2962886551","https://openalex.org/W2024158969","https://openalex.org/W2952032625"],"abstract_inverted_index":{"We":[0],"present":[1],"an":[2],"off-line":[3],"method":[4,27],"for":[5],"routing":[6,18,33],"a":[7,47,50],"hypercube":[8],"automorphism":[9],"$\\pi$":[10,42],"in":[11],"the":[12,20,32,38,44],"minimum":[13],"number":[14],"of":[15,23,41,46],"steps.":[16],"The":[17],"has":[19],"added":[21],"virtue":[22],"being":[24],"congestion-free.":[25],"Our":[26],"is":[28,34],"purely":[29],"algebraic,":[30],"and":[31,49],"obtained":[35],"easily":[36],"from":[37],"standard":[39],"representation":[40],"as":[43],"product":[45],"complementation":[48],"bit":[51],"permutation.":[52]},"counts_by_year":[{"year":2014,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}