A method for generating a switch fabric topology, comprising constructing a first switch fabric topology, modifying the first switch fabric topology to generate a second switch fabric topology, wherein modifying the first switch fabric topology comprises isolating center stage sets of the first switch fabric topology, and replacing each of the isolated center stage sets with a single × switching element to generate the second switch fabric topology, wherein is an integer representing a radix of the switching element determined in connection with the constructing of the first switch fabric topology.