Results 111 to 120 of about 180 (135)

On Generalized Fibonacci Cubes and Unitary Transforms

Applicable Algebra in Engineering, Communication and Computing, 1997
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Karen O. Egiazarian, Jaakko Astola
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Recursive construction of hierarchical Fibonacci cubes and hierarchical extended Fibonacci cubes

Proceedings. Eighth International Conference on Parallel and Distributed Systems. ICPADS 2001, 2002
Hierarchical Fibonacci cubes and hierarchical extended Fibonacci cubes are recursively constructed. This property comes from the point of these derived networks. These nets are basically derived from Fibonacci series, which are recursive series.
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Widened Fibonacci cubes

2000
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ARAGNO, EZIAMARIA, ZAGAGLIA, NORMA
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Mutual-Visibility in Fibonacci Cubes

Hypercubes, Butterfly and other well-structured topologies represent intriguing challenges in computer network architectures, especially for parallel and distributed computations. Within such a context, mutual-visibility plays a central role for communication activities.
Alfredo Navarra, Francesco Piselli
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Cube-Complements of Fibonacci and Lucas Cubes

Journal of Interconnection Networks
The Fibonacci cube [Formula: see text] can be obtained from the hypercube [Formula: see text] by removing all vertices that contain [Formula: see text] as a substring, and the Lucas cube [Formula: see text] can be obtained from [Formula: see text] by removing all the vertices that have a circulation containing [Formula: see text].
Jianxin Wei, Yujun Yang
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On a problem on generalised Fibonacci cubes

Ars Comb., 2003
Summary: A Fibonacci string of order \(n\) is a binary string of length \(n\) with no two consecutive ones. The Fibonacci cube \(\Gamma _n\) is the subgraph of the hypercube \(Q_n\) induced by the set of Fibonacci strings of order \(n\). For positive integers \(i,n\), with \(n \geq i\), the \(i\)th extended Fibonacci cube is the vertex induced subgraph
T. Hilberdink, C. Whitehead, ZAGAGLIA, NORMA   +2 more
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On Fibonacci (p,r) -cubes

Ars Combinatoria
In this paper, it is pointed out that the definition of `Fibonacci -cube’ in many papers (denoted by ) is incorrect. The graph is not the same as the original one (denoted by ) introduced by Egiazarian and Astola. First, it is shown that and have different recursive structure. Then, it is proven that all the graphs are partial cubes. However,
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New interconnection networks: Fibonacci cube and extended Fibonacci cubes based hierarchic networks

Proceedings 15th International Conference on Information Networking, 2002
Ghose et al. (1995) developed interconnection networks which use hypercubes as the basic building blocks and Duh et al. (1995) used folded hypercubes as the basic building blocks to construct interconnection networks. We used the Fibonacci cube and extended Fibonacci cubes as the basic building blocks to construct new hierarchic interconnection ...
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Fibonacci and Lucas p-cubes

Discrete Applied Mathematics, 2022
Jianxin Wei
exaly  

Recursive fault-tolerance of Fibonacci cube in hypercubes

Discrete Mathematics, 2006
Petr Gregor
exaly