Random walks on small world networks

We study the mixing time of random walks on small-world networks modelled as follows: starting with the 2-dimensional periodic grid, each pair of vertices {𝑢, 𝑣 } with distance 𝑑 > 1 is added as a “long-range" edge with probability proportional to 𝑑−𝑟, where 𝑟 ≥ 0 is a parameter of the model...

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Bibliographic Details
Main Authors: Dyer, ME, Galanis, A, Goldberg, L, Jerrum, M, Vigoda, E
Format: Journal article
Language:English
Published: Association for Computing Machinery 2020