接近最优的树嵌入到斐波那契立方体中

Bin Gong, S. Zheng
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引用次数: 7

摘要

斐波那契立方体网络最近被提出作为超立方体网络的替代方案。本文考虑了用斐波那契立方体模拟树和x树结构的问题。这些问题可以被描述为网络嵌入。在路由和嵌入结果的可用性方面,超立方体和斐波那契立方体之间存在很大的差距。我们给出了接近最优的嵌入结果,这表明斐波那契立方体几乎可以像超立方体一样有效地模拟树和x树,尽管斐波那契立方体是一个比超立方体更稀疏的网络。
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Near-optimal embeddings of trees into Fibonacci cubes
The Fibonacci cube network was proposed recently as an alternative to the hypercube network. In this paper, we consider the problems of simulating tree and X-tree structures by the Fibonacci cube. Such problems can be characterized as network embedding. There is a big gap between the hypercube and the Fibonacci cube with respect to the availability of routing and embedding results. We present near-optimal embedding results, which show that the Fibonacci cube can simulate trees and X-trees almost as efficiently as the hypercube, even though the Fibonacci cube is a network much sparser than the hypercube.
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