Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.11851/6007
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Eğecioğlu, Ömer | - |
dc.contributor.author | Saygı, Elif | - |
dc.contributor.author | Saygı, Zülfükar | - |
dc.date.accessioned | 2021-09-11T15:21:23Z | - |
dc.date.available | 2021-09-11T15:21:23Z | - |
dc.date.issued | 2021 | en_US |
dc.identifier.issn | 2651-477X | - |
dc.identifier.uri | https://search.trdizin.gov.tr/yayin/detay/494732 | - |
dc.identifier.uri | https://doi.org/10.15672/hujms.750244 | - |
dc.identifier.uri | https://hdl.handle.net/20.500.11851/6007 | - |
dc.description.abstract | Fibonacci cubes and Lucas cubes have been studied as alternatives for the classical hy-percube topology for interconnection networks. These families of graphs have interesting graph theoretic and enumerative properties. Among the many generalization of Fibonacci cubes are k-Fibonacci cubes, which have the same number of vertices as Fibonacci cubes, but the edge sets determined by a parameter k. In this work, we consider k-Lucas cubes, which are obtained as subgraphs of k-Fibonacci cubes in the same way that Lucas cubes are obtained from Fibonacci cubes. We obtain a useful decomposition property of k-Lucas cubes which allows for the calculation of basic graph theoretic properties of this class: the number of edges, the average degree of a vertex, the number of hypercubes they contain, the diameter and the radius. © 2021, Hacettepe University. All rights reserved. | en_US |
dc.description.sponsorship | 117R032 | en_US |
dc.language.iso | en | en_US |
dc.publisher | Hacettepe University | en_US |
dc.relation.ispartof | Hacettepe Journal of Mathematics and Statistics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Fibonacci cube | en_US |
dc.subject | Fibonacci number | en_US |
dc.subject | Hypercube | en_US |
dc.subject | K-Fibonacci cube | en_US |
dc.subject | Lucas cube | en_US |
dc.subject | Lucas number | en_US |
dc.title | The Structure of K-Lucas Cubes | en_US |
dc.type | Article | en_US |
dc.department | Faculties, Faculty of Science and Literature, Department of Mathematics | en_US |
dc.department | Fakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü | tr_TR |
dc.identifier.volume | 50 | en_US |
dc.identifier.issue | 3 | en_US |
dc.identifier.startpage | 754 | en_US |
dc.identifier.endpage | 769 | en_US |
dc.identifier.wos | WOS:000693856500014 | en_US |
dc.identifier.scopus | 2-s2.0-85111072388 | en_US |
dc.institutionauthor | Saygı, Zülfükar | - |
dc.identifier.doi | 10.15672/hujms.750244 | - |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.scopusquality | Q3 | - |
dc.identifier.trdizinid | 494732 | en_US |
item.openairetype | Article | - |
item.languageiso639-1 | en | - |
item.grantfulltext | none | - |
item.fulltext | No Fulltext | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
crisitem.author.dept | 07.03. Department of Mathematics | - |
Appears in Collections: | Matematik Bölümü / Department of Mathematics Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection TR Dizin İndeksli Yayınlar / TR Dizin Indexed Publications Collection WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection |
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