Fault-tolerant Routing in Bicubes

Abstract

The bicube is derived from the hypercube, and it provides a topology for interconnection networks of parallel systems. The bicube can interconnect the same number of nodes with the same degree as the hypercube while its diameter is almost half of that of the hypercube. In addition, the bicube preserves the property of node symmetry. Hence, the bicube attracts much attention. In this paper, we focus on the bicube with faulty nodes and propose three fault-tolerant routing methods to find a fault-free path between any pair of non-faulty nodes in it.