• Corpus ID: 246823747

Fast and perfect sampling of subgraphs and polymer systems

@article{Blanca2022FastAP,
  title={Fast and perfect sampling of subgraphs and polymer systems},
  author={Antonio Blanca and Sarah Cannon and Will Perkins},
  journal={ArXiv},
  year={2022},
  volume={abs/2202.05907}
}
We give an efficient perfect sampling algorithm for weighted, connected induced subgraphs (or graphlets ) of rooted, bounded degree graphs. Our algorithm utilizes a vertex-percolation process with a carefully chosen rejection filter and works under a percolation subcriticality condition. We show that this condition is optimal in the sense that the task of (approximately) sampling weighted rooted graphlets becomes impossible in finite expected time for infinite graphs and intractable for finite graphs… 
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