Routing between Subcubes in a Hypercube

Abstract

As hypercube sizes and node capabilities increase, applications such as database processing and task management which utilize parallelism within a task and between tasks are becoming important. These applications require a new routing paradigm, where data (or programs) residing an a subcube are transferred to another subcube. In this paper, we describe and analyze an algorithm for routing data from the nodes of a k-dimension subcube to the nodes of any other kdimension subcube in the hypercube. We show that the algorithm enables data transfer between the iwo subcubes to be performed optimally in the current generatie:% direct-connect hypercubes. Also, the algorithm is very simple and can be executed in @(n) steps, where n is the dimension of the hypercube.