48 citations · 161 across the 20 of their papers we have counts for
5 papers · 1 filter
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…
Corrected mean-field model for random sequential adsorption on random geometric graphs
Souvik Dhara, Johan S. H. van Leeuwaarden, Debankur Mukherjee
A notorious problem in mathematics and physics is to create a solvable model for random sequential adsorption of non-overlapping congruent spheres in the -dimensional Euclidean…
Phase transitions of extremal cuts for the configuration model
Souvik Dhara, Debankur Mukherjee, Subhabrata Sen
The -section width and the Max-Cut for the configuration model are shown to exhibit phase transitions according to the values of certain parameters of the asymptotic degree dist…
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,…
Generalized random sequential adsorption on Erdős-Rényi random graphs
Souvik Dhara, Johan S. H. van Leeuwaarden, Debankur Mukherjee
We investigate Random Sequential Adsorption (RSA) on a random graph via the following greedy algorithm: Order the vertices at random, and sequentially declare each vertex eithe…