Embedding K-ary Complete Trees into Hypercubes
β Scribed by X.J. Shen; Q. Hu; W.F. Liang
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 529 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0743-7315
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
It is folklore that the double-rooted complete binary tree is a spanning tree of the hypercube of the same size. Unfortunately, the usual construction of an embedding of a double-rooted complete binary tree into a hypercube does not provide any hint on how this embedding can be extended if each leaf
Let \(H_{n}\) be the \(n\)-dimensional boolean hypercube with \(2^{n}\) vertices labeled \(\left\{0,1, \ldots 2^{n}-1\right\}\), with an edge between two vertices whenever their Hamming distance is 1. We describe a spanning tree \(T_{n}\) of \(H_{n}\) with the following properties. \(T_{n}\) is comp
In the next section we present basic definitions and notations where the criterion of optimality is defined and related to the concept of ''normal'' algorithms. In Section 3 we present an optimal embedding method that balances the processor loads. In Section 4 we present a nonoptimal embedding metho