321 citations · 452 across the 34 of their papers we have counts for
13 papers · 1 filter
Random networks with preferential growth and vertex death
Maria Deijfen
A dynamic model for a random network evolving in continuous time is defined where new vertices are born and existing vertices may die. The fitness of a vertex is defined as the acc…
Growing networks with preferential addition and deletion of edges
Maria Deijfen, Mathias Lindholm
A preferential attachment model for a growing network incorporating deletion of edges is studied and the expected asymptotic degree distribution is analyzed. At each time step $t=1…
Stationary random graphs with prescribed iid degrees on a spatial Poisson process
Maria Deijfen
Let be the points of a Poisson process on and a probability distribution with support on the non-negative integers. Models are formulated for gen…
Random intersection graphs with tunable degree distribution and clustering
Maria Deijfen, Willemien Kets
A random intersection graph is constructed by assigning independently to each vertex a subset of a given set and drawing an edge between two vertices if and only if their respectiv…
The pleasures and pains of studying the two-type Richardson model
Maria Deijfen, Olle Häggström
This paper provides a survey of known results and open problems for the two-type Richardson model, which is a stochastic model for competition on . In its simplest fo…
Stationary random graphs on with prescribed iid degrees and finite mean connections
Maria Deijfen, Johan Jonasson
Let be a probability distribution with support on the non-negative integers. A model is proposed for generating stationary simple graphs on with degree distributio…
Generating stationary random graphs on with prescribed i.i.d.\ degrees
Maria Deijfen, Ronald Meester
Let be a probability distribution with support on the non-negative integers. Two algorithms are described for generating a stationary random graph, with vertex set …
Generating simple random graphs with prescribed degree distribution
Tom Britton, Maria Deijfen, Anders Martin-Löf
Let be a probability distribution with support on the non-negative integers. Four methods for generating a simple undirected graph with (approximate) degree distribution ar…
Nonmonotonic coexistence regions for the two-type Richardson model
Maria Deijfen, Olle Häggström
In the two-type Richardson model on a graph , each vertex is at a given time in state , or . A flips to a (resp.\ ) at r…
Coexistence in a two-type continuum growth model
Maria Deijfen, Olle Häggström
We consider a stochastic model, describing the growth of two competing infections on . The growth takes place by way of spherical outbursts in the infected region, an…
The initial configuration is irrelevant for the possibility of mutual unbounded growth in the two-type Richardson model
Maria Deijfen, Olle Häggström
The two-type Richardson model describes the growth of two competing infections on . At time 0 two disjoint finite sets are infected with…
A stochastic model for competing growth on
Maria Deijfen, Olle Häggström, Jonathan Bagley
A stochastic model, describing the growth of two competing infections on , is introduced. The growth is driven by outbursts in the infected region, an outburst in the…
Asymptotic shape in a continuum growth model
Maria Deijfen
A continuum growth model is introduced. The state at time , , is a subset of and consists of a connected union of randomly sized Euclidean balls, which emerg…