We analyse the jigsaw percolation process, which may be seen as a measure of whether two graphs on the same vertex set are `jointly connected'. Bollobás, Riordan, Slivken and Smith proved that when the two graphs are independent binomial random graphs, whether the jigsaw process percolates undergoes a phase transition when the product of the two probabilities is..
We investigate spatial random graphs defined on the points of a Poisson process in d-dimensional spa...
Fix d ≥ 2, and let X be either ℤd or the points of a Poisson process in ℝd of intensity 1. Given par...
Given λ > 0, p ∈ [0, 1] and a Poisson Point Process Po(λ) in R 2 with intensity λ, we consider the r...
The jigsaw percolation process on graphs was introduced by Brummitt et al. (2015) as a model of coll...
Jigsaw percolation is a model for the process of solving puzzles within a social network, which was ...
This thesis shows that the jigsaw percolation process of two independent binomial random graphs exhi...
Abstract. Jigsaw percolation is a nonlocal process that iteratively merges connected clusters in a d...
International audienceGiven a weighted graph, we introduce a partition of its vertex set such that t...
We extend the jigsaw percolation model to analyze graphs where both underlying people and p...
We study a random graph model which is a superposition of bond percolation on Z(d) with parameter p,...
Let $X$ be either $Z^d$ or the points of a Poisson process in $R^d$ of intensity 1. Given parameters...
Consider a graph G and an initial random configuration, where each node is black with probability p ...
We study the two most common types of percolation process on a sparse random graph with a given degr...
ABSTRACT: We study a random graph model which is a superposition of bond percolation on Zd with para...
Percolation is the study of connected structures in disordered networks. As edges are randomly and i...
We investigate spatial random graphs defined on the points of a Poisson process in d-dimensional spa...
Fix d ≥ 2, and let X be either ℤd or the points of a Poisson process in ℝd of intensity 1. Given par...
Given λ > 0, p ∈ [0, 1] and a Poisson Point Process Po(λ) in R 2 with intensity λ, we consider the r...
The jigsaw percolation process on graphs was introduced by Brummitt et al. (2015) as a model of coll...
Jigsaw percolation is a model for the process of solving puzzles within a social network, which was ...
This thesis shows that the jigsaw percolation process of two independent binomial random graphs exhi...
Abstract. Jigsaw percolation is a nonlocal process that iteratively merges connected clusters in a d...
International audienceGiven a weighted graph, we introduce a partition of its vertex set such that t...
We extend the jigsaw percolation model to analyze graphs where both underlying people and p...
We study a random graph model which is a superposition of bond percolation on Z(d) with parameter p,...
Let $X$ be either $Z^d$ or the points of a Poisson process in $R^d$ of intensity 1. Given parameters...
Consider a graph G and an initial random configuration, where each node is black with probability p ...
We study the two most common types of percolation process on a sparse random graph with a given degr...
ABSTRACT: We study a random graph model which is a superposition of bond percolation on Zd with para...
Percolation is the study of connected structures in disordered networks. As edges are randomly and i...
We investigate spatial random graphs defined on the points of a Poisson process in d-dimensional spa...
Fix d ≥ 2, and let X be either ℤd or the points of a Poisson process in ℝd of intensity 1. Given par...
Given λ > 0, p ∈ [0, 1] and a Poisson Point Process Po(λ) in R 2 with intensity λ, we consider the r...
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