{"id":"https://openalex.org/W3189945563","doi":"https://doi.org/10.1142/s0129054121500271","title":"Alternate Lucas Cubes","display_name":"Alternate Lucas Cubes","publication_year":2021,"publication_date":"2021-08-04","ids":{"openalex":"https://openalex.org/W3189945563","doi":"https://doi.org/10.1142/s0129054121500271","mag":"3189945563"},"language":"en","primary_location":{"id":"doi:10.1142/s0129054121500271","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054121500271","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/A5026125535","display_name":"\u00d6mer E\u011fecio\u01e7lu","orcid":"https://orcid.org/0000-0002-6070-761X"},"institutions":[{"id":"https://openalex.org/I154570441","display_name":"University of California, Santa Barbara","ror":"https://ror.org/02t274463","country_code":"US","type":"education","lineage":["https://openalex.org/I154570441"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"\u00d6mer E\u011fecio\u011flu","raw_affiliation_strings":["Department of Computer Science, University of California Santa Barbara, Santa Barbara, California 93106, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of California Santa Barbara, Santa Barbara, California 93106, USA","institution_ids":["https://openalex.org/I154570441"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5069522603","display_name":"Elif Sayg\u0131","orcid":"https://orcid.org/0000-0001-8811-4747"},"institutions":[{"id":"https://openalex.org/I66514158","display_name":"Hacettepe University","ror":"https://ror.org/04kwvgz42","country_code":"TR","type":"education","lineage":["https://openalex.org/I66514158"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Elif Sayg\u0131","raw_affiliation_strings":["Department of Mathematics and Science Education, Hacettepe University, Ankara, 06800, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics and Science Education, Hacettepe University, Ankara, 06800, Turkey","institution_ids":["https://openalex.org/I66514158"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5049961412","display_name":"Z\u00fclf\u00fckar Sayg\u0131","orcid":"https://orcid.org/0000-0002-7575-3272"},"institutions":[{"id":"https://openalex.org/I13236232","display_name":"TOBB University of Economics and Technology","ror":"https://ror.org/03ewx7v96","country_code":"TR","type":"education","lineage":["https://openalex.org/I13236232"]}],"countries":["TR"],"is_corresponding":false,"raw_author_name":"Z\u00fclf\u00fckar Sayg\u0131","raw_affiliation_strings":["Department of Mathematics, TOBB University of Economics and Technology, Ankara, 06560, Turkey"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, TOBB University of Economics and Technology, Ankara, 06560, Turkey","institution_ids":["https://openalex.org/I13236232"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5026125535"],"corresponding_institution_ids":["https://openalex.org/I154570441"],"apc_list":null,"apc_paid":null,"fwci":0.6372,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.71012937,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"32","issue":"07","first_page":"871","last_page":"899"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10829","display_name":"Interconnection Networks and Systems","score":0.9991999864578247,"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":0.9991999864578247,"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/T10074","display_name":"Carbon Nanotubes in Composites","score":0.9950000047683716,"subfield":{"id":"https://openalex.org/subfields/2505","display_name":"Materials Chemistry"},"field":{"id":"https://openalex.org/fields/25","display_name":"Materials Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11476","display_name":"Graph theory and applications","score":0.980400025844574,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/hypercube","display_name":"Hypercube","score":0.8828935623168945},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.7538138628005981},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7266411781311035},{"id":"https://openalex.org/keywords/fibonacci-number","display_name":"Fibonacci number","score":0.620475172996521},{"id":"https://openalex.org/keywords/lucas-number","display_name":"Lucas number","score":0.6203314661979675},{"id":"https://openalex.org/keywords/fibonacci-polynomials","display_name":"Fibonacci polynomials","score":0.5644344687461853},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.5045980215072632},{"id":"https://openalex.org/keywords/cube","display_name":"Cube (algebra)","score":0.4912347197532654},{"id":"https://openalex.org/keywords/classical-orthogonal-polynomials","display_name":"Classical orthogonal polynomials","score":0.1103440523147583},{"id":"https://openalex.org/keywords/orthogonal-polynomials","display_name":"Orthogonal polynomials","score":0.09597837924957275}],"concepts":[{"id":"https://openalex.org/C50820777","wikidata":"https://www.wikidata.org/wiki/Q213723","display_name":"Hypercube","level":2,"score":0.8828935623168945},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.7538138628005981},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7266411781311035},{"id":"https://openalex.org/C173734053","wikidata":"https://www.wikidata.org/wiki/Q47577","display_name":"Fibonacci number","level":2,"score":0.620475172996521},{"id":"https://openalex.org/C3634175","wikidata":"https://www.wikidata.org/wiki/Q2503280","display_name":"Lucas number","level":3,"score":0.6203314661979675},{"id":"https://openalex.org/C79117305","wikidata":"https://www.wikidata.org/wiki/Q974295","display_name":"Fibonacci polynomials","level":4,"score":0.5644344687461853},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.5045980215072632},{"id":"https://openalex.org/C53051483","wikidata":"https://www.wikidata.org/wiki/Q861555","display_name":"Cube (algebra)","level":2,"score":0.4912347197532654},{"id":"https://openalex.org/C21736991","wikidata":"https://www.wikidata.org/wiki/Q17006917","display_name":"Classical orthogonal polynomials","level":3,"score":0.1103440523147583},{"id":"https://openalex.org/C10628310","wikidata":"https://www.wikidata.org/wiki/Q619458","display_name":"Orthogonal polynomials","level":2,"score":0.09597837924957275}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0129054121500271","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0129054121500271","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":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1992529621","https://openalex.org/W2025474229","https://openalex.org/W2037148158","https://openalex.org/W2064575259","https://openalex.org/W2090597927","https://openalex.org/W2107609363","https://openalex.org/W2121464909","https://openalex.org/W2166773527","https://openalex.org/W2486330094","https://openalex.org/W2591771963","https://openalex.org/W2616109297","https://openalex.org/W2792358813","https://openalex.org/W2807787038","https://openalex.org/W2907267410","https://openalex.org/W3017587843","https://openalex.org/W3044331077","https://openalex.org/W3081370032"],"related_works":["https://openalex.org/W2793885898","https://openalex.org/W2242545088","https://openalex.org/W2602439292","https://openalex.org/W886058393","https://openalex.org/W2964154866","https://openalex.org/W49739194","https://openalex.org/W1967854601","https://openalex.org/W4309907056","https://openalex.org/W2064575259","https://openalex.org/W3189945563"],"abstract_inverted_index":{"We":[0,130],"introduce":[1],"alternate":[2,44,70],"Lucas":[3,18,45,56,68,71],"cubes,":[4,69],"a":[5,30],"new":[6],"family":[7,138],"of":[8,25,43,55,58,86,102,105,111,119,136,139],"graphs":[9],"designed":[10],"as":[11,62,114,116,151],"an":[12],"alternative":[13],"for":[14,38,144],"the":[15,36,92,96,100,109,112,117,133,142,152,156],"well":[16,61,115],"known":[17],"cubes.":[19,40],"These":[20],"interconnection":[21],"networks":[22],"are":[23,47,53],"subgraphs":[24],"Fibonacci":[26,39,65],"cubes":[27,46,66,72],"and":[28,67,77,126,146,155],"have":[29,73],"useful":[31],"fundamental":[32,93],"decomposition":[33,94],"similar":[34],"to":[35],"one":[37],"The":[41],"vertices":[42,106],"constructed":[48],"from":[49],"binary":[50],"strings":[51],"that":[52],"encodings":[54],"representation":[57],"integers.":[59],"As":[60],"ordinary":[63],"hypercubes,":[64,121],"several":[74],"interesting":[75],"structural":[76],"enumerative":[78],"properties.":[79,88],"In":[80],"this":[81,137],"paper":[82],"we":[83,90],"study":[84],"some":[85],"these":[87],"Specifically,":[89],"give":[91],"giving":[95],"recursive":[97],"structure,":[98],"determine":[99,141],"number":[101,104],"edges,":[103],"by":[107],"weight,":[108],"distribution":[110],"degrees;":[113],"properties":[118,149],"induced":[120],"[Formula:":[122],"see":[123],"text]-cube":[124],"polynomials":[125,135],"maximal":[127],"hypercube":[128],"polynomials.":[129],"also":[131],"obtain":[132],"irregularity":[134],"graphs,":[140],"conditions":[143],"Hamiltonicity,":[145],"calculate":[147],"metric":[148],"such":[150],"radius,":[153],"diameter,":[154],"center.":[157]},"counts_by_year":[{"year":2025,"cited_by_count":3},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":1}],"updated_date":"2026-03-27T05:58:40.876381","created_date":"2025-10-10T00:00:00"}