13 citations · 23 across the 7 of their papers we have counts for
3 papers · 1 filter
Projective limits of probabilistic symmetries and their applications to random graph limits
Pim van der Hoorn, Huck Stepanyants, Dmitri Krioukov
We couple projective limits of probability measures to direct limits of their symmetry groups. We show that the direct limit group is the group of symmetries of the projective limi…
Generating maximally disassortative graphs with given degree distribution
Pim van der Hoorn, Liudmila Ostroumova Prokhorenkova, Egor Samosvat
In this paper we consider the optimization problem of generating graphs with a prescribed degree distribution, such that the correlation between the degrees of connected nodes, as…
Convergence of rank based degree-degree correlations in random directed networks
Pim van der Hoorn, Nelly Litvak
We introduce, and analyze, three measures for degree-degree dependencies, also called degree assortativity, in directed random graphs, based on Spearman's rho and Kendall's tau. We…