Achieving Fault-Tolerant Multicast in Injured Wormhole-Routed Tori and Meshes Based on Euler Path Construction

Recently, wormhole routers with multi-destination capability have been proposed to support fast multicast in a multi-computer network. To avoid communication deadlock, existing results have proposed to construct a Hamilton path, Euler path, trip, or their variants, in the network, perhaps with some degree of support of virtual channels 1, 14, 15, 18, 23]. In this paper, we identify that a network which is itself Eulerian or is Eulerian after some links are removed, can enjoy the multi-destination capability without support of virtual channels. From this definition , we then develop several techniques to achieve fault-tolerant multicast in a torus/mesh of any dimension with regular fault patterns (such as single node, block, L-shape, T-shape, +-shape, U-shape, and H-shape) and even irregular fault patterns. The result improves over existing results on the requirement of support of virtual channels and fault-tolerant capability. Simulation results on tori are presented.