{"id":"https://openalex.org/W2149025218","doi":"https://doi.org/10.1109/tc.2003.1234525","title":"Edge disjoint hamiltonian cycles in k-ary n-cubes and hypercubes","display_name":"Edge disjoint hamiltonian cycles in k-ary n-cubes and hypercubes","publication_year":2003,"publication_date":"2003-10-01","ids":{"openalex":"https://openalex.org/W2149025218","doi":"https://doi.org/10.1109/tc.2003.1234525","mag":"2149025218"},"language":"en","primary_location":{"id":"doi:10.1109/tc.2003.1234525","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2003.1234525","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","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/A5111538237","display_name":"M.M. Bae","orcid":null},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"M.M. Bae","raw_affiliation_strings":["Unix Clustering Infrastructure, IBM, Corporation, Poughkeepsie, NY, USA"],"affiliations":[{"raw_affiliation_string":"Unix Clustering Infrastructure, IBM, Corporation, Poughkeepsie, NY, USA","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5108201807","display_name":"B. Bose","orcid":null},"institutions":[{"id":"https://openalex.org/I131249849","display_name":"Oregon State University","ror":"https://ror.org/00ysfqy60","country_code":"US","type":"education","lineage":["https://openalex.org/I131249849"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"B. Bose","raw_affiliation_strings":["School of Electrical Engineering and Computer Science, Oregon State University, Corvallis, OR, USA"],"affiliations":[{"raw_affiliation_string":"School of Electrical Engineering and Computer Science, Oregon State University, Corvallis, OR, USA","institution_ids":["https://openalex.org/I131249849"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5111538237"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":1.9868,"has_fulltext":false,"cited_by_count":104,"citation_normalized_percentile":{"value":0.89598429,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":100},"biblio":{"volume":"52","issue":"10","first_page":"1271","last_page":"1284"},"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":0.9965999722480774,"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/T11130","display_name":"Coding theory and cryptography","score":0.9965000152587891,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"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/hypercube","display_name":"Hypercube","score":0.8963842391967773},{"id":"https://openalex.org/keywords/gray-code","display_name":"Gray code","score":0.8477176427841187},{"id":"https://openalex.org/keywords/disjoint-sets","display_name":"Disjoint sets","score":0.7122263312339783},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.6835465431213379},{"id":"https://openalex.org/keywords/torus","display_name":"Torus","score":0.6779458522796631},{"id":"https://openalex.org/keywords/hamiltonian-path","display_name":"Hamiltonian path","score":0.6152499318122864},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5944790840148926},{"id":"https://openalex.org/keywords/binary-number","display_name":"Binary number","score":0.5288615822792053},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.49176767468452454},{"id":"https://openalex.org/keywords/binary-code","display_name":"Binary code","score":0.4165078401565552},{"id":"https://openalex.org/keywords/hamiltonian","display_name":"Hamiltonian (control theory)","score":0.4115341603755951},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.27006644010543823},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.1683080494403839},{"id":"https://openalex.org/keywords/arithmetic","display_name":"Arithmetic","score":0.1069277822971344}],"concepts":[{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8963842391967773},{"id":"https://openalex.org/C129861397","wikidata":"https://www.wikidata.org/wiki/Q332772","display_name":"Gray code","level":2,"score":0.8477176427841187},{"id":"https://openalex.org/C45340560","wikidata":"https://www.wikidata.org/wiki/Q215382","display_name":"Disjoint sets","level":2,"score":0.7122263312339783},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.6835465431213379},{"id":"https://openalex.org/C9767117","wikidata":"https://www.wikidata.org/wiki/Q12510","display_name":"Torus","level":2,"score":0.6779458522796631},{"id":"https://openalex.org/C86524685","wikidata":"https://www.wikidata.org/wiki/Q273037","display_name":"Hamiltonian path","level":3,"score":0.6152499318122864},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5944790840148926},{"id":"https://openalex.org/C48372109","wikidata":"https://www.wikidata.org/wiki/Q3913","display_name":"Binary number","level":2,"score":0.5288615822792053},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.49176767468452454},{"id":"https://openalex.org/C63435697","wikidata":"https://www.wikidata.org/wiki/Q864135","display_name":"Binary code","level":3,"score":0.4165078401565552},{"id":"https://openalex.org/C130787639","wikidata":"https://www.wikidata.org/wiki/Q5645293","display_name":"Hamiltonian (control theory)","level":2,"score":0.4115341603755951},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.27006644010543823},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.1683080494403839},{"id":"https://openalex.org/C94375191","wikidata":"https://www.wikidata.org/wiki/Q11205","display_name":"Arithmetic","level":1,"score":0.1069277822971344},{"id":"https://openalex.org/C132525143","wikidata":"https://www.wikidata.org/wiki/Q141488","display_name":"Graph","level":2,"score":0.0},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/tc.2003.1234525","is_oa":false,"landing_page_url":"https://doi.org/10.1109/tc.2003.1234525","pdf_url":null,"source":{"id":"https://openalex.org/S157670870","display_name":"IEEE Transactions on Computers","issn_l":"0018-9340","issn":["0018-9340","1557-9956","2326-3814"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319808","host_organization_name":"Institute of Electrical and Electronics Engineers","host_organization_lineage":["https://openalex.org/P4310319808"],"host_organization_lineage_names":["Institute of Electrical and Electronics Engineers"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IEEE Transactions on Computers","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":21,"referenced_works":["https://openalex.org/W226252236","https://openalex.org/W1509342228","https://openalex.org/W1574886554","https://openalex.org/W1603765807","https://openalex.org/W1917045576","https://openalex.org/W1995467644","https://openalex.org/W2034790990","https://openalex.org/W2041888647","https://openalex.org/W2089852595","https://openalex.org/W2093524567","https://openalex.org/W2095096771","https://openalex.org/W2112952911","https://openalex.org/W2113113620","https://openalex.org/W2138711634","https://openalex.org/W2149789327","https://openalex.org/W2160642345","https://openalex.org/W2263250534","https://openalex.org/W3150534153","https://openalex.org/W3169463464","https://openalex.org/W4237014591","https://openalex.org/W6608939553"],"related_works":["https://openalex.org/W2026098617","https://openalex.org/W4254910198","https://openalex.org/W2161886274","https://openalex.org/W2065591471","https://openalex.org/W1968921005","https://openalex.org/W2951903052","https://openalex.org/W1995467644","https://openalex.org/W4292420127","https://openalex.org/W2106407757","https://openalex.org/W1499562290"],"abstract_inverted_index":{"Solutions":[0],"for":[1],"decomposing":[2],"a":[3],"higher":[4],"dimensional":[5,11],"torus":[6],"to":[7,50],"edge":[8,15,52,84],"disjoint":[9,16,53,85],"lower":[10],"tori,":[12],"in":[13,32,56,88],"particular,":[14],"Hamiltonian":[17,54,86],"cycles":[18,55,87],"are":[19,36,67,90],"obtained":[20],"based":[21],"on":[22],"the":[23],"coding":[24],"theory":[25],"approach.":[26],"First,":[27],"Lee":[28,71],"distance":[29,72],"Gray":[30,65,73,82],"codes":[31,45,66,74],"Z/sub":[33],"k//sup":[34],"n/":[35],"presented":[37],"and":[38],"then":[39],"it":[40],"is":[41],"shown":[42],"how":[43],"these":[44,70,77],"can":[46],"directly":[47],"be":[48],"used":[49],"generate":[51],"k-ary":[57],"n-cubes.":[58],"Further,":[59],"some":[60],"new":[61,78],"classes":[62,79],"of":[63,80],"binary":[64,81],"designed":[68],"from":[69],"and,":[75],"using":[76],"codes,":[83],"hypercubes":[89],"generated.":[91]},"counts_by_year":[{"year":2026,"cited_by_count":4},{"year":2025,"cited_by_count":5},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":3},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":5},{"year":2019,"cited_by_count":4},{"year":2018,"cited_by_count":2},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":6},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":5}],"updated_date":"2026-04-10T15:06:20.359241","created_date":"2025-10-10T00:00:00"}