Faults in a network may take various forms such as hardware failures while a node or a link stops functioning, software errors, or even missing of transmitted packets. In this paper, we study the link-fault-tolerant capability of an n-dimensional hypercube (n-cube for short) with respect to path emb
Embedding of Binomial Trees in Hypercubes with Link Faults
โ Scribed by Jie Wu; Eduardo B. Fernandez; Yingqiu Luo
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 505 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0743-7315
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
Let f e (respectively, f v ) denote the number of faulty edges (respectively, vertices) of an n-dimensional hypercube Q n . In this paper, we prove that every fault-free edge of Q n for n โฅ 3 lies on a fault-free cycle of every even length from 4 to 2 n -2 f v inclusive if f e + f v โค n -2. Furtherm
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
In this paper we present a distributed algorithm for embedding binary trees in hypercubes. Starting with the root (invoked in some cube node by a host), each node is responsible for determining the addresses of its children, and for invoking the embedding algorithm for the subtree rooted at each chi
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