This study proves a standard central limit theorem for triangles in exponential random graphs, implying broad statistical insights.
We prove a standard Central Limit Theorem for the (normalized) number of triangles in a class of Exponential Random Graphs derived from a slight modification of the edge-triangle model. Our main theorem covers the whole analyticity region of the free energy, and is based on a polynomial representation of the partition function.
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Magnanini et al. (2025) studied this question.
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