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Issue No.08 - August (2010 vol.21)
pp: 1132-1142
Mary Flahive , Oregon State University, Corvallis
Bella Bose , Oregon State University, Corvallis
ABSTRACT
Earlier authors have used quotient rings of Gaussian and Eisenstein-Jacobi integers to construct interconnection networks with good topological properties. In this paper, we present a unified study of these two types of networks. Our results include decomposing the edges into disjoint Hamiltonian cycles, a simplification of the calculation of the Eisenstein-Jacobi distance, a distribution of the distances between Eisenstein-Jacobi nodes, and shortest path routing algorithms. In particular, the known Gaussian routing algorithm is simplified.
INDEX TERMS
Interconnection network, Gaussian integers, Eisenstein-Jacobi integers, routing in networks, diameter of a network.
CITATION
Mary Flahive, Bella Bose, "The Topology of Gaussian and Eisenstein-Jacobi Interconnection Networks", IEEE Transactions on Parallel & Distributed Systems, vol.21, no. 8, pp. 1132-1142, August 2010, doi:10.1109/TPDS.2009.132
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