Does a deterministic algorithm exist for this case give a, Data Structure & Algorithms

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Does a deterministic algorithm exist for this case give a

Consider the election problem for anonymous trees of un known size, where communication is by asynchronous message passing.

(1) Give a randomized algorithm that is partially correct, process-term inates with probability one, and has an expected message complexity of O(N) messages. (Actually, an expected message complexity of N + 1 messages is achievable.)

(2) Does a deterministic algorithm exist for this case?

Text Book: Introduction to Distributed Algorithms By Gerard Tel.

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