Approximate Counting, Uniform Generation and Rapidly Mixing Markov Chains

@inproceedings{Sinclair1987ApproximateCU,
  title={Approximate Counting, Uniform Generation and Rapidly Mixing Markov Chains},
  author={Alistair Sinclair and Mark Jerrum},
  booktitle={WG},
  year={1987}
}
The paper studies effective approximate solutions to combinatorial counting and uniform generation problems. Using a technique based on the simulation of ergodic Markov chains, it is shown that, for self-reducible structures, almost uniform generation is possible in polynomial time provided only that randomised approximate counting to within some arbitrary polynomial factor is possible in polynomial time. It follows that, for self-reducible structures, polynomial time randomised algorithms for… 

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