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Exact communication costs for consensus and leader in a tree
Authors:Yefim Dinitz   Shlomo Moran  Sergio Rajsbaum  
Affiliation:a Department of Computer Science, Ben-Gurion University of the Negev, Israel;b Department of Computer Science, Technion, Israel;c Compaq Cambridge Research Laboratory, MA, USA
Abstract:We continue the study of communication costs of Consensus and Leader initiated in a previous paper. We deal with all scenarios with linear complexity in a tree topology, and prove exact (as opposed to asymptotic) tight bounds for the bit and message complexities. A particular scenario depends on whether the tree size or the size parity is known to the processors.
Keywords:Distributed computing   Consensus   Leader election   Bit complexity   Message complexity   Communication complexity
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