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