3 papers
math.PR2025
Temporal connectivity of Random Geometric Graphs
Anna Brandenberger, Serte Donderwinkel, Céline Kerriou +2
A temporal random geometric graph is a random geometric graph in which all edges are endowed with a uniformly random time-stamp, representing the time of interaction between vertic…
math.PR2024
Tight universal bounds on the height times the width of random trees
Serte Donderwinkel, Robin Khanfir
We obtain assumption-free, non-asymptotic, uniform bounds on the product of the height and the width of uniformly random trees with a given degree sequence, conditioned Bienaymé tr…
math.PR2021
Universality for the directed configuration model: metric space convergence of the strongly connected components at criticality
Serte Donderwinkel, Zheneng Xie
We consider the strongly connected components (SCCs) of a uniform directed graph on vertices with i.i.d. in- and out-degree pairs distributed as , with $\mathbb E[D^…