The Mixing Time of the Newman-Watts Small-World Model
@article{AddarioBerry2015TheMT, title={The Mixing Time of the Newman-Watts Small-World Model}, author={L. Addario-Berry and T. Lei}, journal={Advances in Applied Probability}, year={2015}, volume={47}, pages={37 - 56} }
‘Small worlds’ are large systems in which any given node has only a few connections to other points, but possessing the property that all pairs of points are connected by a short path, typically logarithmic in the number of nodes. The use of random walks for sampling a uniform element from a large state space is by now a classical technique; to prove that such a technique works for a given network, a bound on the mixing time is required. However, little detailed information is known about the… CONTINUE READING
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