New classes of degree sequences with fast mixing swap Markov chain sampling

@article{Erds2018NewCO,
  title={New classes of degree sequences with fast mixing swap Markov chain sampling},
  author={P{\'e}ter L. Erd{\"o}s and Istv{\'a}n Mikl{\'o}s and Zolt{\'a}n Toroczkai},
  journal={Combinatorics, Probability & Computing},
  year={2018},
  volume={27},
  pages={186-207}
}
In network modeling of complex systems one is often required to sample random realizations of networks that obey a given set of constraints, often in form of graph measures. A much studied class of problems targets uniform sampling of simple graphs with given degree sequence or also with given degree correlations expressed in the form of a joint degree matrix. One approach is to use Markov chains based on edge switches (swaps) that preserve the constraints, are irreducible (ergodic) and fast… CONTINUE READING
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References

Publications referenced by this paper.
Showing 1-10 of 52 references

I

  • P. L. Erdős
  • Miklós and Z. Toroczkai A decomposition based…
  • 2015
Highly Influential
9 Excerpts

Canonical decomposition of a graph

  • R. Tyshkevich
  • (in Russian) Doklady Akademii Nauk BSSR XXIV 8
  • 1980
Highly Influential
4 Excerpts

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