Discipline: 
Mathematics
Status: 
Available
Level: 
PhD Project
Level: 
Masters Project
Supervisor(s): 
Dr Thomas Taimre

In many social networks, selection of friends on the basis of social status is very common. Similarly, websites may link to more popular websites in the hope of gaining more traffic. Simple models of these phenomena, where the benefits of connection vary according to some metric (for example popularity) currently exist both in growing networks (Britton et al 2011) and static form (Konig and Battiston 2009).

In this project, you will investigate similar simple yet powerful models for weighted networks.  Probability and stochastic process background is ideal.