Gossiping in Jail
Consider a set of prisoners that want to gossip with one another, and suppose that these prisoners are located at fixed locations (e.g., in jail cells) along a corridor. Each prisoner has a way to broadcast messages (e.g. by voice or contraband radio) with transmission radius R and interference radius R′ ≥ R. We study synchronous algorithms for this problem (that is, prisoners are allowed to speak at regulated intervals) including two restricted subclasses. We prove exact upper and lower bounds on the gossiping completion time for all three classes. We demonstrate that each restriction placed on the algorithm results in decreasing performance.
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