The power of two choices for random walks

We apply the power-of-two-choices paradigm to a random walk on a graph: rather than moving to a uniform random neighbour at each step, a controller is allowed to choose from two independent uniform random neighbours. We prove that this allows the controller to significantly accelerate the hitting an...

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Bibliographic Details
Main Authors: Georgakopoulos, A, Haslegrave, J, Sauerwald, T, Sylvester, J
Format: Journal article
Language:English
Published: Cambridge University Press 2021