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The Structure of Optimal and Near Optimal Target Sets in Consensus Models
[report]

2014
unpublished

We consider the problem of identifying a subset of nodes in a network that will enable the fastest spread of information in a decentralized environment.In a model of communication based on a random walk on an undirected graph, the optimal set over all sets of the same or smaller cardinality minimizes the sum of the mean first arrival times to the set by walkers starting at nodes outside the set. The problem originates from the study of the spread of information or consensus in a network and was

doi:10.6028/nist.sp.500-303
fatcat:bbzue3lbujblhl2dbizjcvn6r4