The time delay of a long-distance call can be determined by multiplying a small

Question

The time delay of a long-distance call can be determined by multiplying a small fixed constant by the number of communication links on the telephone network between the caller and callee. Suppose the telephone network of a company named RT&T is a free tree. The engineers of RT&T want to compute the maximum possible time delay that may be experienced in a long-distance call. Given a free tree T, the diameter of T is the length of a longest path between two nodes of T. Give an efficient algorithm for computing the diameter of T.

Explanation / Answer

We can compute the diameter of the tree T by a pruning procedure, starting at the leaves (external nodes).

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