Oblivious Gossiping on Tori

Abstract

Near-optimal gossiping algorithms are given for two-dimensional and higher dimensional tori, assuming the full-port store-and-forward communication model. For two-dimensional tori, a previous algorithm achieved optimality in an intricate way, with an adaptive routing pattern. In contrast, the processing units in our algorithm forward the received packets always in the same way. We thus achieve almost the same performance with patterns that might be hardwired.