4 papers · 1 filter
Colorful Exponential Random Graph Models
Bhaswar B. Bhattacharya, Pierfrancesco Dionigi, Ankan Ganguly +1
In this paper, we initiate the study of colored exponential random graph models (ERGMs), a class of exponential-family models for networks with multiple types of edge relations. Us…
Large deviations for probability graphons
Pierfrancesco Dionigi, Giulio Zucal
We establish a large deviation principle (LDP) for probability graphons, which are symmetric functions from the unit square into the space of probability measures. This notion exte…
Probability graphons and P-variables: two equivalent viewpoints for dense weighted graph limits
Giulio Zucal
We develop further the graph limit theory for dense weighted graph sequences. In particular, we consider probability graphons, which have recently appeared in graph limit theory as…
Probability graphons: the right convergence point of view
Giulio Zucal
We extend the theory of probability graphons, continuum representations of edge-decorated graphs arising in graph limits theory, to the 'right convergence' point of view. First of…