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Topologies of combined (2 log N-1)-stage interconnection networks

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3 Author(s)
Qing Hu ; FutureNet Technol. Inc., Monrovia, CA, USA ; Shen, X. ; Jingyu Yang

A combined (2 log N-1)-stage interconnection network (denoted by Δ⊕Δ') is constructed by concatenating two Omega-equivalent networks (Δ and Δ') with the rightmost stage of Δ and the leftmost stage of Δ' overlapped. Benes network and the (2 log N-1)-stage shuffle-exchange network are two examples of such networks. Although these two networks have received intensive studies, the research on the topology of entire class of Δ⊕Δ' networks is very limited so far. In this paper, we study the topological structure of Δ⊕Δ' networks and propose an algorithm for determining topological equivalence between two given Δ⊕Δ' networks. We also present a simplified Ω-equivalence checking algorithm as a supporting result

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Computers, IEEE Transactions on  (Volume:46 ,  Issue: 1 )