We give an optimal algorithm that broadcasts on an n-dimensional hypercube in Theta(n/ log_{2}(n+ 1)) routing steps with wormhole, e-cube routing and all-port communication. Previously, the best algorithm of McKinley and Trefftz requires [n/2] routing steps. We also give routing algorithms that achieve tight time bounds for n leqslant 7.
Published in:
Parallel Processing, 1994. Vol. 1. ICPP 1994. International Conference on
(Volume:3
)
Date of Conference: 15-19 Aug. 1994