A Multicast Algorithm for Hypercube Multiprocessors

Depending on different switching technologies, the multicast communication problem has been formulated as three different graph theoretical problems: the Steiner tree problem, the multicast tree problem, and the multicast path problem. Our efforts in this paper are to reduce the communication traffic of multicast in hypercube multiprocessors. We propose three heuristic algorithms for the three problem models. Our multicast path algorithm is distributed, our Steiner tree algorithm is centralized, and our multicast tree algorithm is hybrid. Compared with the previous results by simulation, each of our heuristic algorithms improves the communication traffic in the corresponding multicast problem model. 2001 Academic Press