# Engineering Uniform Sampling of Graphs with a Prescribed Power-law Degree Sequence

```@article{Allendorf2022EngineeringUS,
title={Engineering Uniform Sampling of Graphs with a Prescribed Power-law Degree Sequence},
author={Daniel J Allendorf and Ulrich Meyer and Manuel Penschuck and Hung Tran and Nicholas C. Wormald},
journal={ArXiv},
year={2022},
volume={abs/2110.15015}
}```
We consider the following common network analysis problem: given a degree sequence d = (d1, . . . , dn) ∈ N return a uniform sample from the ensemble of all simple graphs with matching degrees. In practice, the problem is typically solved using Markov Chain Monte Carlo approaches, such as Edge-Switching or Curveball, even if no practical useful rigorous bounds are known on their mixing times. In contrast, Arman et al. sketch Inc-Powerlaw, a novel and much more involved algorithm capable of…

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