Calculation on the Bisection Width of H-Torus Topology
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Abstract:
Two methods are presented to calculate the lower bound and upper bound on the bisection width of H-Torus topology. These two methods can also be applied to the 2D Torus topology. A method is presented to calculate the exact bisection width for H-Torus too. But this method has unacceptable complexity and can only be accepted with small scale. It is shown that H-Torus topology has larger bisection width. Regarding precision, the lower bound and upper bound introduced in this paper are greatly improved. This result strongly supports the design of scalable routers.
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