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Rotator graphs: an efficient topology for point-to-point multiprocessor networks

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1 Author(s)
P. F. Corbett ; IBM Thomas J. Watson Res. Center, Yorktown Heights, NY, USA

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

Published in:

IEEE Transactions on Parallel and Distributed Systems  (Volume:3 ,  Issue: 5 )