A Fault-Tolerant Routing Strategy for Fibonacci-Class Cubes

Fibonacci Cubes (FCs), together with the enhanced and extended forms, are a family of interconnection topologies formed by diluting links from binary hypercube. While they scale up more slowly, they provide more choices of network size. Despite sparser connectivity, they allow efficient emulation of many other topologies. However, there is no existing fault-tolerant routing strategy for FCs or other node/link diluted cubes. In this paper, we propose a unified fault-tolerant routing strategy for all Fibonacci-class Cubes, tolerating as many faulty components as network node availability. The algorithm is livelock free and generates deadlock-free routes, whose length is bounded linearly to network dimensionality. As a component, a generic approach to avoiding immediate cycles is designed which is applicable to a wide range of inter-connection networks, with computational and spatial complexity at O(1) and O(n log n) respectively. Finally, the performance of the algorithm is presented and analyzed through software simulation, showing its feasibility.