Results 111 to 120 of about 173 (142)

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.
Navarra, Alfredo, Piselli, Francesco
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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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Full cubes in the Fibonacci sequence

Publicationes Mathematicae Debrecen, 2022
\textit{H. London} and the reviewer [Fibonacci Q. 7, 476--481, 487 (1969; Zbl 0206.05402)] found all cubes in the Fibonacci sequence \(F_n\) by reducing this problem to solving the equations \(y^2 - 100 = x^3\) and \(y^2 + 100 = x^3\) with \(x\equiv y\equiv 0\pmod 5\) and \(x>0\), \(y>0\), and using algebraic number theory and Skolem's \(p\)-adic ...
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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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Hamiltonicity on Enhanced Extended Fibonacci Cube

2017 Second International Conference on Informatics and Computing (ICIC), 2017
Enhanced Hypercube (EQ) is a computer network interconnect topology that has many advantages. But among the many advantages, EQ has some drawbacks that is in line with the increasing network size, the number of vertices increases exponentially. Extended Fibonacci Cube {EFC) is an interconnected network topology developed to overcome weaknesses in EQ ...
Mufid Nilmada, null Ernastuti, Djati Kerami   +2 more
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On the sizes of extended Fibonacci cubes

IEEE Transactions on Parallel and Distributed Systems, 1999
Hypercube is a popular interconnection network whose size must be a power of 2. Several interconnection networks have been proposed that do not suffer this limitation. Among them the extended Fibonacci cubes are based on the same sequence of the Fibonacci cubes and share many appealing structural properties.
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Linear Recognition and Embedding of Fibonacci Cubes

Algorithmica, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Wiener Index of Extended Fibonacci Cubes

Journal of Interconnection Networks
The series of Extended Fibonacci cubes defined in terms of Fibonacci strings are classes of incomplete hypercubes. The Wiener index of a network, also known as the transmission of a network, is the sum of distances between all pairs of vertices in the network. It provides the average distance between any two nodes of the network.
R. Stalin Mary, Indra Rajasingh
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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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3D Cube‐Maze‐Like Li‐Rich Layered Cathodes Assembled from 2D Porous Nanosheets for Enhanced Cycle Stability and Rate Capability of Lithium‐Ion Batteries

Advanced Energy Materials, 2020
Yanan Chen
exaly