20 citations · 23 across the 4 of their papers we have counts for
7 papers
Evolving Shelah-Spencer Graphs
Richard Elwes
An \emph{evolving Shelah-Spencer process} is one by which a random graph grows, with at each time a new node incorporated and attached to each previous node with pro…
A Preferential Attachment Process Approaching the Rado Graph
Richard Elwes
We consider a simple Preferential Attachment graph process, which begins with a finite graph, and in which a new st vertex is added at each subsequent time step , and con…
Minority population in the one-dimensional Schelling model of segregation
George Barmpalias, Richard Elwes, Andy Lewis-Pye
The Schelling model of segregation looks to explain the way in which a population of agents or particles of two types may come to organise itself into large homogeneous clusters, a…
Unperturbed Schelling segregation in two or three dimensions
George Barmpalias, Richard Elwes, Andy Lewis-Pye
Schelling's model of segregation, first described in 1969, has become one of the best known models of self-organising behaviour. While Schelling's explicit concern was to understan…
Preferential Attachment Processes Approaching The Rado Multigraph
Richard Elwes
We consider a preferential attachment process in which a multigraph is built one node at a time. The number of edges added at stage , emanating from the new node, is given by so…
Tipping Points in Schelling Segregation
George Barmpalias, Richard Elwes, Andy Lewis-Pye
One of the earliest agent-based economical models, Schelling's spacial proximity model illustrated how global segregation can emerge, often unwanted, from the actions of agents of…