English

Detectability thresholds of general modular graphs

Social and Information Networks 2017-01-11 v2 Physics and Society

Abstract

We investigate the detectability thresholds of various modular structures in the stochastic block model. Our analysis reveals how the detectability threshold is related to the details of the modular pattern, including the hierarchy of the clusters. We show that certain planted structures are impossible to infer regardless of their fuzziness.

Cite

@article{arxiv.1608.08908,
  title  = {Detectability thresholds of general modular graphs},
  author = {Tatsuro Kawamoto and Yoshiyuki Kabashima},
  journal= {arXiv preprint arXiv:1608.08908},
  year   = {2017}
}

Comments

5 pages, 3 figures

R2 v1 2026-06-22T15:36:42.972Z