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A Simple Deterministic Distributed Low-Diameter Clustering (2210.11784v1)
Published 21 Oct 2022 in cs.DS and cs.DC
Abstract: We give a simple, local process for nodes in an undirected graph to form non-adjacent clusters that (1) have at most a polylogarithmic diameter and (2) contain at least half of all vertices. Efficient deterministic distributed clustering algorithms for computing strong-diameter network decompositions and other key tools follow immediately. Overall, our process is a direct and drastically simplified way for computing these fundamental objects.
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