Routing linear permutations on Fibonacci and Lucas cubes
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
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
Image 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
The 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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A Tiling Proof of Binomial Identities related to the Lucas cube
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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Reduced Shear Modulus and Altered Lamellar Morphology of the Outer Annulus Fibrosus in Painful Intervertebral Disc Degeneration Compared With Tissue From Non-Surgical Controls. [PDF]
Bader TJ +11 more
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Automated deep learning pipeline for callosal angle quantification. [PDF]
Shirzadeh Barough S +8 more
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Robocasting of Ceramic Fischer-Koch S Scaffolds for Bone Tissue Engineering. [PDF]
Baumer V +5 more
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Thermal Conductivity in Mortar Samples with Copper Mine Tailings. [PDF]
Daza L +5 more
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Direct regulation of the voltage sensor of HCN channels by membrane lipid compartmentalization. [PDF]
Handlin LJ, Dai G.
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