On Exponential Random Graph Models with Dyadic Independence

Kayvan Sadeghi

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arXiv · 2506.20458

On Exponential Random Graph Models with Dyadic Independence

Kayvan Sadeghi

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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

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Kayvan Sadeghi. 2025-06-25. On Exponential Random Graph Models with Dyadic Independence. https://arxiv.org/abs/2506.20458

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