The Cubical Ring Connected Cycles: A Fault Tolerant Parallel Computation Network
IEEE Transactions on Computers
Design and Analysis of Dynamic Redundancy Networks
IEEE Transactions on Computers
Interconnection networks for large-scale parallel processing: theory and case studies (2nd ed.)
Interconnection networks for large-scale parallel processing: theory and case studies (2nd ed.)
Designing fault-tolerant systems using automorphisms
Journal of Parallel and Distributed Computing
Introduction to parallel algorithms and architectures: array, trees, hypercubes
Introduction to parallel algorithms and architectures: array, trees, hypercubes
Distributed loop computer networks: a survey
Journal of Parallel and Distributed Computing
Comments on "Line Digraph Iterations and Connectivity Analysis of de Bruijn and Kautz Graphs"
IEEE Transactions on Computers
The cube-connected cycles: a versatile network for parallel computation
Communications of the ACM
A Versatile Ring-Connected Hypercube
IEEE Micro
IEEE Transactions on Parallel and Distributed Systems
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In this paper, we first present a 1-fault-tolerant (1-ft) hypercube model with degree 2r, the ring-connected hypercube (RCH), which has the lowest degree among all 1-ft, one spare node, r-dimensional hypercube architecture yet discovered. Then we propose a zero-time reconfiguration algorithm via an add-and-modulo automorphism. Furthermore, by introducing the equivalence from hypercubes to cube-connected cycles (CCC's) and to butterflies (BF's), we find there is also a corresponding equivalence from RCH's to cubical ring connected cycles (CRCC) and to dynamic redundancy networks (DRN's). From this fact, we find out that once a symmetric fault-tolerant structure has been discovered for one of the three models, then it can apply directly to the other hypercubic networks. Applying the technique, we find a degree 6, 1-ft Benes network. Another point is we think that the strong relationship between hypercubes, CCC's and BF's should be paid more attention, and finally from this equivalence relationship to the RCH's we propose three new bounded-degree k-ft models: k-ft CCC's, k-ft BF's, and k-ft Benes networks.