5 citations · 6 across the 9 of their papers we have counts for
4 papers · 1 filter
Bootstrap percolation in random geometric graphs
Victor Falgas-Ravry, Amites Sarkar
Following Bradonjić and Saniee, we study a model of bootstrap percolation on the Gilbert random geometric graph on the -dimensional torus. In this model, the expected number of…
Intersections of random sets
Jacob Richey, Amites Sarkar
We consider a variant of a classical coverage process, the boolean model in . Previous efforts have focused on convergence of the unoccupied region containing the ori…
Percolation in the Secrecy Graph
Amites Sarkar, Martin Haenggi
The secrecy graph is a random geometric graph which is intended to model the connectivity of wireless networks under secrecy constraints. Directed edges in the graph are present wh…
A critical constant for the k nearest neighbour model
Paul Balister, Bela Bollobas, Amites Sarkar +1
Let P be a Poisson process of intensity one in a square S_n of area n. For a fixed integer k, join every point of P to its k nearest neighbours, creating an undirected random geome…