Efficient Communication by Phone Calls

Abstract
We are given the question: how many phone calls are needed for n people to pool all their information in a succession of k‐person party line phone calls? The question was proposed by Erdös for the special case K = 2. We prove here the result that [n − 2/K − 1] + [n − 1 /k] + 1 calls are required if 1 ≤ nk2, while 2[n − 2/k − 1] are required for n > k2.

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