A standard CLT for triangles in a class of ERGMs

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.

Publication Details

Journal
Weierstraß-Institut für Angewandte Analysis und Stochastik
Published
2025-01-01
DOI
https://doi.org/10.20347/wias.preprint.3211
Primary Topic
Markov Chains and Monte Carlo Methods
Type
article
Field-Weighted Citation Impact
0.00
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article

A standard CLT for triangles in a class of ERGMs

Weierstraß-Institut für Angewandte Analysis und Stochastik
Markov Chains and Monte Carlo Methods
article

A standard CLT for triangles in a class of ERGMs

article en

Abstract

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.

Weierstraß-Institut für Angewandte Analysis und Stochastik
Affordable and clean energy
Openalex Percentile: Top 48%
Markov Chains and Monte Carlo Methods
DOIOpen Access PDFOpenAlex
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A standard CLT for triangles in a class of ERGMs · Weierstraß-Institut für Angewandte Analysis und Stochastik (2025) | TGRS Research Map | TGRS