Interval Routing & Layered Cross Product: Compact routing schemes for butterflies, mesh of trees and fat trees

Abstract

In this paper we propose compact routing schemes having space and time complexities comparable to a 2-Interval Routing Scheme for the class of networks decomposable as Layered Cross Product (LCP) of rooted trees. As a consequence, we are able to design a 2-Interval Routing Scheme for butterflies, meshes of trees and fat trees using a fast local routing algorithm. Finally, we show that a compact routing scheme for networks which are LCP of general graphs cannot be found by any only using shortest paths information on the factors.