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Rotator Graphs: An Efficient Topology for Point-to-Point Multiprocessor Networks
September 1992 (vol. 3 no. 5)
pp. 622-626
Rotator graphs, a set of directed permutation graphs, are proposed as an alternative to star and pancake graphs. Rotator graphs are defined in a way similar to the recently proposed Faber-Moore graphs. They have smaller diameter, n-1 in a graph with n factorial vertices, than either the star or pancake graphs or the k-ary n-cubes. A simple optimal routing algorithm is presented for rotator graphs. The n-rotator graphs are defined as a subset of all rotator graphs. The distribution of distances of vertices in the n-rotator graphs is presented, and the average distance between vertices is found. The n-rotator graphs are shown to be optimally fault tolerant and maximally one-step fault diagnosable. The n-rotator graphs are shown to be Hamiltonian, and an algorithm for finding a Hamiltonian circuit in the graphs is given.

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Index Terms:
Index Termstopology; point-to-point multiprocessor networks; directed permutation graphs; Faber-Moore graphs; optimal routing algorithm; rotator graphs; fault tolerant; one-step fault diagnosable; Hamiltonian circuit; directed graphs; multiprocessor interconnection networks
P.F. Corbett, "Rotator Graphs: An Efficient Topology for Point-to-Point Multiprocessor Networks," IEEE Transactions on Parallel and Distributed Systems, vol. 3, no. 5, pp. 622-626, Sept. 1992, doi:10.1109/71.159045
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