Efficient dispersal of information for security, load balancing, and fault tolerance
Journal of the ACM (JACM)
k-Pairwise Cluster Fault Tolerant Routing in Hypercubes
IEEE Transactions on Computers
Node-to-set and set-to-set cluster fault tolerant routing in hypercubes
Parallel Computing
From Hall's matching theorem to optimal routing on hypercubes
Journal of Combinatorial Theory Series B
Pairwise edge disjoint shortest paths in the n-cube
Theoretical Computer Science
On Disjoint Shortest Paths Routing on the Hypercube
COCOA '09 Proceedings of the 3rd International Conference on Combinatorial Optimization and Applications
Two conditions for reducing the maximal length of node-disjoint paths in hypercubes
Theoretical Computer Science
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In parallel and distributed systems many communications take place concurrently, so the routing algorithm as well as the underlying interconnection network play a vital role in delivering all the messages efficiently. Fault tolerance and performance are often obtained by delivering the messages through node disjoint shortest paths. In this paper we present two efficient algorithms to construct, under certain conditions, pairwise node disjoint shortest paths for pairs of vertices in an n-cube in the presence of faulty nodes. The first algorithm has O(m^2) time complexity, where m is the number of input bits, and the second one takes O(m^3), but it solves more general problem instances. We also present an efficient algorithm for the extreme version of the edge disjoint shortest paths problem when n is odd.