3 papers
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…
math.CO2023
There is no going back: Properties of the non-backtracking Laplacian
Raffaella Mulas, Dong Zhang, Giulio Zucal
We prove new properties of the non-backtracking graph and the non-backtracking Laplacian for graphs. In particular, among other results, we prove that two simple graphs are isomorp…