# On Markov Chains for Independent Sets

@article{Dyer2000OnMC, title={On Markov Chains for Independent Sets}, author={Martin E. Dyer and Catherine S. Greenhill}, journal={J. Algorithms}, year={2000}, volume={35}, pages={17-49} }

Random independent sets in graphs arise, for example, in statistical physics, in the hardcore model of a gas. In 1997, Luby and Vigoda described a rapidly mixing Markov chain for independent sets, which we refer to as the Luby?Vigoda chain. A new rapidly mixing Markov chain for independent sets is defined in this paper. Using path coupling, we obtain a polynomial upper bound for the mixing time of the new chain for a certain range of values of the parameter ?. This range is wider than the range…

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