A standard CLT for triangles in a class of ERGs

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.

arXiv comment12 pages

References in corpus (4)

• Estimating and understanding exponential random graph models
• Statistical Mechanics of Equilibrium and Nonequilibrium Phase Transitions: The Yang-Lee Formalism
• Applications of Stein's method for concentration inequalities
• Phase transitions in exponential random graphs