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Stabilization Bounds for Influence Propagation from a Random Initial State
We study the stabilization time of two common types of influence propagation. In majority processes, nodes in a graph want to switch to the most frequent state in their neighborhood, while in minority processes, nodes want to switch to the least frequent state in their neighborhood. We consider the sequential model of these processes, and assume that every node starts out from a uniform random state. We first show that if nodes change their state for any small improvement in the process, thendoi:10.4230/lipics.mfcs.2021.83 fatcat:di27dvew4vh3ngc4j3llscc3wi