Least common ancestor networks

Abstract
Least common ancestor networks (LCANs) are introduced and shown to be a class of networks that include fat-trees, baseline networks, SW-banyans and the router networks of the TRAC 1.1 and 2.0, and the CM-5. Some LCAN properties are stated and the permutation routing capabilities of an important subclass are analyzed. Simulation results for three permutation classes verify the accuracy of an iterative solution for a randomized routing strategy.