Ching-Tien Ho Ching-Tien Ho, Ming-Yang Kao Ming-Yang Kao
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Optimal Broadcast in All-Port Wormhole-Routed Hypercubes
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.