WIAS Preprint No. 3211, (2025)

A standard CLT for triangles in a class of ERGMs


Authors

  • Magnanini, Elena
    ORCID: 0000-0001-5430-4884
  • Passuello, Giacomo

2020 Mathematics Subject Classification

  • 60F05 05C80

Keywords

  • Central limit theorem, triangles, exponential random graphs, Yang-Lee theorem

DOI

10.20347/WIAS.PREPRINT.3211

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.

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