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math.PR2024
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…
math.PR2024
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…
physics.soc-ph2024
Exploring the space of graphs with fixed discrete curvatures
Michelle Roost, Karel Devriendt, Giulio Zucal +1
Discrete curvatures are quantities associated to the nodes and edges of a graph that reflect the local geometry around them. These curvatures have a rich mathematical theory and th…