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Title: The structure of k-lucas cubes
Authors: Eğecioğlu, Ömer
Saygı, Elif
Saygı, Zülfükar
Keywords: Fibonacci cube
Fibonacci number
K-Fibonacci cube
Lucas cube
Lucas number
Issue Date: 2021
Publisher: Hacettepe University
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.
ISSN: 2651-477X
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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