Embedding complete binary trees in product graphs
โ Scribed by Kemal Efe; Adrienne L. Broadwater; Antonio Fernandez
- Book ID
- 110386202
- Publisher
- Springer US
- Year
- 2000
- Tongue
- English
- Weight
- 111 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1018-4864
No coin nor oath required. For personal study only.
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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
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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