Generalized Fibonacci and Lucas cubes arising from powers of paths and cycles
Discrete Mathematics, 2016 19 pages.
P. Codara, O.M. D’Antona
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Results on the domination number and the total domination number of Lucas cubes
Ars Mathematica Contemporanea, 2020 Summary: Lucas cubes are the special subgraphs of Fibonacci cubes. For small dimensions, their domination numbers are obtained by direct search or integer linear programming. For larger dimensions some bounds on these numbers are given. In this work, we present the exact values of total domination number of small dimensional Lucas cubes and present ...
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Routing linear permutations on Fibonacci and Lucas cubes
, 2012 In recent years there has been much interest in certain subcubes of hypercubes, namely Fibonacci cubes and Lucas cubes (and their generalized versions). In this article we consider online routing of linear permutations on these cubes. The model of routing we use regards edges as bi-directional, and we do not allow queues of length greater than one ...
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Embeddings of Linear Arrays, Rings and 2-D Meshes on Extended Lucas Cube Networks
, 2011 A Fibonacci string is a length n binary string containing no two consecutive 1s. Fibonacci cubes (FC), Extended Fibonacci cubes (ELC) and Lucas cubes (LC) are subgraphs of hypercube defined in terms of Fibonacci strings. All these cubes were introduced in the last ten years as models for interconnection networks and shown that their network topology ...
Ernastuti, Vajnovzki, Vincent
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Secure Image Encryption via Rubik’s Cube-Based Lucas Q-Matrix Scrambling Algorithm
IETE Journal of ResearchImage encryption (IE) is a critical technique for confirming the security and privacy of visual data in various applications. In recent days, the development of encryption algorithms continues to advance but data protection remains a computational challenge.
Arthi, P., Bhuvaneswari, K. Selva
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Distance cube polynomials of Fibonacci and Lucas-run graphs
Discrete Applied MathematicsThe Fibonacci-run graphs R n are a familly of an induced subgraph of hypercubes introduced by Egecioglu and Iršič in 2021. A cyclic version of R n , the Lucas-run graph R l n , was also recently proposed (Jianxin Wei, 2024). We prove that the generating function previously given for the polynomial D Rn (x, q) which counts the number of hypercubes at a ...
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Full scale, microscopically resolved tomographies of sandstone and carbonate rocks augmented by experimental porosity and permeability values. [PDF]
Sci Data, 2023 Esteves Ferreira M +11 more
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A Tiling Proof of Binomial Identities related to the Lucas cube
, 2014 Using a cube tiling of $\mathbb{R}^n$ constructed by Lagarias and Shor a tiling proof of three well-known binomial identities related to the Lucas cube is given.
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Ecodatacube.eu: analysis-ready open environmental data cube for Europe. [PDF]
PeerJ, 2023 Witjes M +4 more
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In situ high-resolution cryo-EM reconstructions from CEMOVIS. [PDF]
IUCrJElferich J +6 more
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