# 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}
}
• Published 1 April 2000
• Mathematics
• J. Algorithms
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…
148 Citations

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