{"id":"https://openalex.org/W2154286377","doi":"https://doi.org/10.1142/s0129054103001637","title":"LINEAR LAYOUT OF GENERALIZED HYPERCUBES","display_name":"LINEAR LAYOUT OF GENERALIZED HYPERCUBES","publication_year":2003,"publication_date":"2003-02-01","ids":{"openalex":"https://openalex.org/W2154286377","doi":"https://doi.org/10.1142/s0129054103001637","mag":"2154286377"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054103001637","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054103001637","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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/A5086055038","display_name":"Koji Nakano","orcid":"https://orcid.org/0000-0002-2040-4032"},"institutions":[{"id":"https://openalex.org/I177738480","display_name":"Japan Advanced Institute of Science and Technology","ror":"https://ror.org/03frj4r98","country_code":"JP","type":"education","lineage":["https://openalex.org/I177738480"]}],"countries":["JP"],"is_corresponding":true,"raw_author_name":"KOJI NAKANO","raw_affiliation_strings":["School of Information Science, Japan Advanced Institute of Science and Technology, Tatsunokuchi, Ishikawa 923-1292, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Information Science, Japan Advanced Institute of Science and Technology, Tatsunokuchi, Ishikawa 923-1292, Japan","institution_ids":["https://openalex.org/I177738480"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5086055038"],"corresponding_institution_ids":["https://openalex.org/I177738480"],"apc_list":null,"apc_paid":null,"fwci":0.2462,"has_fulltext":false,"cited_by_count":17,"citation_normalized_percentile":{"value":0.67148428,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"14","issue":"01","first_page":"137","last_page":"156"},"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/T11797","display_name":"graph theory and CDMA systems","score":0.9972000122070312,"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/T10374","display_name":"Advanced Graph Theory Research","score":0.9955999851226807,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7538653612136841},{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.7310441136360168},{"id":"https://openalex.org/keywords/clique","display_name":"Clique","score":0.6884117722511292},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6649071574211121},{"id":"https://openalex.org/keywords/bisection","display_name":"Bisection","score":0.46681782603263855},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.4518600404262543},{"id":"https://openalex.org/keywords/enhanced-data-rates-for-gsm-evolution","display_name":"Enhanced Data Rates for GSM Evolution","score":0.43073582649230957},{"id":"https://openalex.org/keywords/node","display_name":"Node (physics)","score":0.4257241487503052},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.14435085654258728},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07657894492149353},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.0646480917930603}],"concepts":[{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7538653612136841},{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.7310441136360168},{"id":"https://openalex.org/C2777035058","wikidata":"https://www.wikidata.org/wiki/Q1662634","display_name":"Clique","level":2,"score":0.6884117722511292},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6649071574211121},{"id":"https://openalex.org/C31599958","wikidata":"https://www.wikidata.org/wiki/Q3128632","display_name":"Bisection","level":2,"score":0.46681782603263855},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.4518600404262543},{"id":"https://openalex.org/C162307627","wikidata":"https://www.wikidata.org/wiki/Q204833","display_name":"Enhanced Data Rates for GSM Evolution","level":2,"score":0.43073582649230957},{"id":"https://openalex.org/C62611344","wikidata":"https://www.wikidata.org/wiki/Q1062658","display_name":"Node (physics)","level":2,"score":0.4257241487503052},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.14435085654258728},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07657894492149353},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0646480917930603},{"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/C76155785","wikidata":"https://www.wikidata.org/wiki/Q418","display_name":"Telecommunications","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054103001637","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054103001637","pdf_url":null,"source":{"id":"https://openalex.org/S68047077","display_name":"International Journal of Foundations of Computer Science","issn_l":"0129-0541","issn":["0129-0541","1793-6373"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Foundations of Computer Science","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":15,"referenced_works":["https://openalex.org/W1531679293","https://openalex.org/W1581872756","https://openalex.org/W1967958850","https://openalex.org/W1983901430","https://openalex.org/W2036942179","https://openalex.org/W2063054346","https://openalex.org/W2066568745","https://openalex.org/W2073107529","https://openalex.org/W2084742485","https://openalex.org/W2097755092","https://openalex.org/W2118004951","https://openalex.org/W2159008239","https://openalex.org/W2165021839","https://openalex.org/W3048202464","https://openalex.org/W4285718364"],"related_works":["https://openalex.org/W2916710807","https://openalex.org/W4286907761","https://openalex.org/W2413588304","https://openalex.org/W3205447645","https://openalex.org/W2009411567","https://openalex.org/W2774705104","https://openalex.org/W2371629703","https://openalex.org/W2097769911","https://openalex.org/W2386918026","https://openalex.org/W3512143"],"abstract_inverted_index":{"This":[0],"paper":[1,158],"deals":[2],"with":[3,142],"two":[4,46,93],"kinds":[5],"of":[6,60,104,118,138,156,165,175,193,205,211,227,237,247,251,259,268],"generalized":[7],"hypercubes:":[8],"a":[9,17,190],"d-dimensional":[10,18,25,71],"c-ary":[11,19,26,58,72,102,129],"clique":[12,27,130],"[Formula:":[13,21,28,74,131,139,166,170,186,194,199,212,238,252,269],"see":[14,22,29,75,132,140,167,171,187,195,200,213,239,253,270],"text]":[15,30,76,133,141,168,172,188,254],"and":[16,45,54,66,92,98,110,114,169,233,255,263],"array":[20,73],"text].":[23,240,271],"A":[24,70],"has":[31,78],"nodes":[32,47,79,94,143],"labeled":[33,80,144],"by":[34,50,64,81,108,145],"c":[35,41,82,88],"d":[36,42,83,89],"integers":[37,84,146],"from":[38,85,147],"0":[39,86,148],"to":[40,87,149,160],"-":[43,90,151],"1":[44],"are":[48,95],"connected":[49,96],"an":[51,127],"edge":[52,235,266],"if":[53,56,97,100],"only":[55,67,99,111],"the":[57,101,115,119,135,202,224,228,244,248,260,264],"representations":[59,103],"their":[61,105,176],"labels":[62,106],"differ":[63,107],"one":[65,68,109,112],"digit.":[69],"also":[77,242],"1,":[91],"digit":[113,123],"absolute":[116],"value":[117,246],"difference":[120],"in":[121,173],"that":[122,185,197],"is":[124,134,159,189],"1.":[125,152],"Further,":[126],"n-node":[128,209],"induced":[136],"subgraph":[137,192],"n":[150,216],"The":[153],"main":[154],"contribution":[155],"this":[157,180,220],"clarify":[161],"several":[162],"topological":[163],"properties":[164],"terms":[174],"linear":[177],"layouts.":[178],"For":[179],"purpose,":[181],"we":[182,222],"first":[183],"prove":[184],"maximum":[191],"text],":[196,214],"is,":[198],"text]has":[201],"largest":[203],"number":[204],"edges":[206],"over":[207],"all":[208],"subgraphs":[210],"whenever":[215],"\u2264":[217],"m.":[218],"Using":[219],"fact,":[221],"show":[223,243],"exact":[225,245],"values":[226,258],"bisection":[229,249],"width,":[230,232],"cut":[231,261],"total":[234,265],"length":[236,267],"We":[241],"width":[250,262],"nearly":[256],"tight":[257]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":3},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}