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20072026
most citedGenerating simple random graphs with prescribed degree distribution

321 citations · 452 across the 34 of their papers we have counts for

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Showing 2015 · math.PRShow all

12 papers · 2 filters

math.PR2015

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…

math.PR2015

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…

math.PR2015

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…

math.PR2015

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…

math.PR2015

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…

math.PR2015

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 …