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On Exponential Random Graph Models with Dyadic Independence

Statistics Theory 2025-06-26 v1 Statistics Theory

Abstract

We show that the only exponential random graph model with n nodal parameters, dyads being independent, and the natural assumption of permutation-equivariant nodal parametrization is the \b{eta} model. In addition, we show that an exponential random graph model with similar assumptions but with fewer than n block parameters is the additive stochastic block model. We also provide similar results for directed networks

Cite

@article{arxiv.2506.20458,
  title  = {On Exponential Random Graph Models with Dyadic Independence},
  author = {Kayvan Sadeghi},
  journal= {arXiv preprint arXiv:2506.20458},
  year   = {2025}
}

Comments

13 pages

R2 v1 2026-07-01T03:33:04.977Z