The dynamic broadcast problem is the communication problem where source packets to be broadcast to all the other nodes are generated at each node of a parallel computer accordingto a certain random process, such as a Poisson process. The lower bounds on the average reception delay required by any oblivious dynamic broadcast algorithm in a d-dimensional hypercube are d + 1 1, when packets are generated according to a Poisson process, where is the load factor. The best previous algorithms for hypercubes only achieve d 1, average reception delay. In this paper, we propose dynamic broadcast algorithms that require optimal Od + 1 1, average reception delay in d-dimensional
Chi-Hsiang Yeh, Emmanouel A. Varvarigos, Hua Lee