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math.PR2013
Bootstrap Percolation on Periodic Trees
Milan Bradonjić, Iraj Saniee
We study bootstrap percolation with the threshold parameter and the initial probability on infinite periodic trees that are defined as follows. Each node of a tree ha…
math.PR2012
Bootstrap Percolation on Random Geometric Graphs
Milan Bradonjić, Iraj Saniee
Bootstrap percolation has been used effectively to model phenomena as diverse as emergence of magnetism in materials, spread of infection, diffusion of software viruses in computer…
math.PR2010★ 2 cited
Lack of Hyperbolicity in Asymptotic Erdös--Renyi Sparse Random Graphs
Onuttom Narayan, Iraj Saniee, Gabriel H. Tucci
In this work we prove that the giant component of the Erdös--Renyi random graph for c a constant greater than 1 (sparse regime), is not Gromov -hyperbolic for any pos…