On the zeroes of hypergraph independence polynomials

@article{Galvin2022OnTZ,
  title={On the zeroes of hypergraph independence polynomials},
  author={David J. Galvin and Gweneth McKinley and Will Perkins and Michail Sarantis and Prasad Tetali},
  journal={ArXiv},
  year={2022},
  volume={abs/2211.00464}
}
We study the locations of complex zeroes of independence polynomials of bounded degree hypergraphs. For graphs, this is a long-studied subject with applications to statistical physics, algorithms, and combinatorics. Results on zero-free regions for bounded-degree graphs include Shearer’s result on the optimal zero-free disk, along with several recent results on other zero-free regions. Much less is known for hypergraphs. We make some steps towards an understanding of zero-free regions for… 

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