# A Bayesian model for sparse graphs with flexible degree distribution and overlapping community structure

@article{Lee2019ABM, title={A Bayesian model for sparse graphs with flexible degree distribution and overlapping community structure}, author={Juho Lee and Lancelot F. James and Seungjin Choi and François Caron}, journal={ArXiv}, year={2019}, volume={abs/1810.01778} }

We consider a non-projective class of inhomogeneous random graph models with interpretable parameters and a number of interesting asymptotic properties. Using the results of Bollobas et al. [2007], we show that i) the class of models is sparse and ii) depending on the choice of the parameters, the model is either scale-free, with power-law exponent greater than 2, or with an asymptotic degree distribution which is power-law with exponential cut-off. We propose an extension of the model that can…

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