Gossiping in Minimal Time

Abstract
The gossip problem involves communicating a unique item fromeach node in a graph to every other node. We study the minimumtime required to do this under the weakest model of parallel communicationwhich allows each node to participate in just one communicationat a time as either sender or receiver. We study a number of topologiesincluding the complete graph, grids, hypercubes and rings. Definitivenew optimal time algorithms are derived for complete graphs, rings,regular grids and toroidal ...

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