Embeddings of binary trees in lines
โ Scribed by Krzysztof Diks
- Book ID
- 107948525
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 581 KB
- Volume
- 36
- Category
- Article
- ISSN
- 0304-3975
No coin nor oath required. For personal study only.
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In this paper, a deterministic algorithm for dynamically embedding binary trees into hypercubes is presented. Because of a known lower bound, any such algorithm must use either randomization or migration, i.e., remapping of tree vertices, to obtain an embedding of trees into hypercubes with small di
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