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
Optimal Embedding of Complete Binary Trees into Lines and Grid
โ Scribed by Ralf Heckmann; Ralf Klasing; Burkhard Monien; Walter Unger
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 179 KB
- Volume
- 49
- Category
- Article
- ISSN
- 0743-7315
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Trees are a common structure to represent the intertask communication pattern of a parallel algorithm. In this paper, we consider the embedding of a complete binary tree in a star graph with the objective of minimizing congestion and dilation. We develop two embeddings: (i) a congestion-free, dilati
We consider the problem of embedding complete binary trees into meshes with the objective of minimizing the link congestion. Gibbons and Paterson showed that a complete binary tree T p (with 2 p 0 1 nodes) can be embedded into a 2-dimensional mesh of 2 p nodes with link congestion two. Using the dim