@article{hwang2023estimation,
  title={On the estimation of the number of communities for sparse networks},
  author={Hwang, Neil and Xu, Jiarui and Chatterjee, Shirshendu and Bhattacharyya, Sharmodeep},
  journal={Journal of the American Statistical Association},
  pages={1--16},
  year={2023},
  month = aug,
  publisher={Taylor \& Francis},
  ISSN = {1537-274X},
  doi = {10.1080/01621459.2023.2223793},
  URL = {https://doi.org/10.1080/01621459.2023.2223793},
  keywords={community number estimation; degree-corrected block model; sparse networks; spectral   clustering; stochastic block model; the Bethe Hessian operator}
}