We investigate T, (Qd), the time required to broadcast m \geq 1 messages in a d-dimensional hypercube under the telephone model. We give exact values for Tm(Qd) for m \leq 2d-1 and for m \geq 2d + 1. For 2d-1- + 1\leq m \leq 2d, we produce an upper bound which is 1 larger than the lower bound. One consequence of our results is to disprove a lower bound due to Farley [3].
Citation:
A. Liestman, T. Shermer, M. Suderman, "Broadcasting Multiple Messages in Hypercubes (preliminary version)," ispan, pp.274, 2000 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '00), 2000