3 papers
math.CO2026
The number and structure of connected graphs with a fixed degree sequence
Sasha Bell, Serte Donderwinkel, Remco van der Hofstad
We study connected graphs with a fixed degree sequence, in the sparse setting where the number of edges grows linearly in the number of vertices. Using the relation to the configur…
math.PR2025
Heavy repulsion of clusters in Bernoulli percolation
Sasha Bell, Tasmin Chu, Owen Rodgers +2
We study Bernoulli percolation on (non)unimodular quasi-transitive graphs and prove that, almost surely, for any two heavy clusters and , the set of vertices in wi…
math.PR2025
Revisiting scaling limits for critical inhomogeneous random graphs with finite third moments
Louigi Addario-Berry, Sasha Bell, Prabhanka Deka +4
We consider the rank-1 inhomogeneous random graph in the Brownian regime in the critical window. Aldous studied the weights of the components, and showed that this ordered sequence…