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arXiv · 1710.00873

A note on perfect simulation for exponential random graph models

Andressa Cerqueira·Aurélien Garivier·Florencia Leonardi
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Abstract

In this paper we propose a perfect simulation algorithm for the Exponential Random Graph Model, based on the Coupling From The Past method of Propp & Wilson (1996). We use a Glauber dynamics to construct the Markov Chain and we prove the monotonicity of the ERGM for a subset of the parametric space. We also obtain an upper bound on the running time of the algorithm that depends on the mixing time of the Markov chain.

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Andressa Cerqueira, Aurélien Garivier, Florencia Leonardi. 2017-10-02. A note on perfect simulation for exponential random graph models. https://arxiv.org/abs/1710.00873

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