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DIAB-13-10-1 | | Publicación: |
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18-10-2013 | | Título: |
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N-dimensional Twin Torus Networks | | Detalle: |
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Torus topology is one of the most common topologies used in the largest supercomputers. It is chosen for its attractive properties related to cost, implementation or scalability. In the market, there are low–profile communication expansion cards that have a reduced number of ports that is not enough to build tori of a certain number of dimensions. For instance, by means of one four-port card per node, a 2D torus topology could be built, but not a 3D torus topology. However, two of these cards can be used per node to build a 3D torus topology (3DT torus). Although there are several ways of assigning the dimension and direction of the ports of the two cards for a 3DT torus in the previous reference, it has been proved which is the optimal port configuration. This paper extends and generalizes that previous work in order to obtain the optimal port configuration when $n$ dimensions are considered. Thus, the nDT torus topology is defined and a detailed formal analysis leads to the optimal port configuration. Moreover, some comments about routing algorithm in nDT torus are
included. | |
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