The Balanced Hypercube: A Cube-Based System for Fault-Tolerant Applications

In this paper, we present an interconnection structure, called the balanced hypercube, which is a variation of the standard hypercube with desirable properties of strong connectivity, regularity, and symmetry. The proposed structure is a special type of load balanced graph designed to tolerate processor failure. In balanced hypercubes, each processor has a backup (matching) processor that shares the same set of neighboring nodes. Therefore, tasks that run on a faulty processor can be reactivated in the backup processor to provide efficient system reconfiguration. Other properties of balanced hypercubes are examined. It is also shown that odd-dimensional balanced hypercubes have smaller diameters than that of standard hypercubes. As an application of balanced hypercubes, we show a fault-tolerant embedding of rings in balanced hypercubes.