Fault-tolerant meshes and hypercubes with minimal numbers of spares

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Fault-Tolerant Meshes and Hypercubes with Minimal Numbers of Spares

Many parallel computers consist of processors connected in the form of a d-dimensional mesh or hypercube. Twoand three-dimensional meshes have been shown to be efficient in manipulating images and dense matrices, whereas hypercubes have been shown to be well suited to divide-andconquer algorithms requiring global communication. However, even a single faulty processor or communication link can s...

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Fault-tolerant meshes with minimal numbers of spares

This paper presents several techniques for adding fault-tolerance t o distributed memory parallel computers. More formally, given a target graph with n nodes, we create a fault-tolerant graph with n + k nodes such that given any set of k or fewer faulty nodes, the remaining graph is guaranteed to contain the target graph as a fault-free subgraph. As a result, any algorithm designed for the targ...

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For a given N-vertex graph. H, a graph G obtained from H by adding t vertices a,nd some edges is called a t-FT (t-fault-toleran,t) graph. for H if even after deletin.g any t vertices from G, the remaining graph contains H as a subgraph. For an N-vertex hypercube QN, a t-FT graph with an, optimal number O(tN +t2) of added edges and maximum degree of O(N + t), and a, t-FT graph zuith O(tN log N) ...

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ژورنال

عنوان ژورنال: IEEE Transactions on Computers

سال: 1993

ISSN: 0018-9340

DOI: 10.1109/12.241598