48 citations · 174 across the 18 of their papers we have counts for
3 papers · 2 filters
Heavy-tailed configuration models at criticality
Souvik Dhara, Remco van der Hofstad, Johan S. H. van Leeuwaarden +1
We study the critical behavior of the component sizes for the configuration model when the tail of the degree distribution of a randomly chosen vertex is a regularly-varying functi…
Geometry of the vacant set left by random walk on random graphs, Wright's constants, and critical random graphs with prescribed degrees
Shankar Bhamidi, Sanchayan Sen
We provide an explicit algorithm for sampling a uniform simple connected random graph with a given degree sequence. By products of this central result include: (i) continuum scalin…
Critical window for the configuration model: finite third moment degrees
Souvik Dhara, Remco van der Hofstad, Johan S. H. van Leeuwaarden +1
We investigate the component sizes of the critical configuration model, as well as the related problem of critical percolation on a supercritical configuration model. We show that,…