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A combined (2logN -1)-stage interconnection network (denoted by ∆ ⊕ ∆') is constructed by concatenating two Omegaequivalent networks (∆ and ∆') with the rightmost stage of ∆ and the leftmost stage of ∆' overlapped. Benes network and the (2logN -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 ∆ ⊕ ∆' networks is very limited so far. In this paper, we study thedoi:10.1109/12.559812 fatcat:jff43rwm6zfbzb2sxkaa4kte2m