Level: MSci
Title: Exponential random graphs
Supervisor:

Dr Ginestra Bianconi
Research Area: Complex Systems and Networks
Description:

In order to describe mathematically complex networks such as the Internet, social online networks, or biological networks in the cell, one possibility is to introduce Exponential Random Graphs. These graphs can be defined using the tools of information theory and statistical physics and are maximally random graphs that satisfy a certain set of constraints such as different degree of the nodes or different community structure. In this project the student will analytically investigate how it is possible to model a given network with an Exponential Random Graph.
Further Reading:

  • M.E.J. Newman, The Structure and Function of Complex Networks, SIAM Review 45 2 (2003): 167–256.

  • J. Park and M.E.J. Newman, The statistical mechanics of networks, Phys. Rev. E 70 066117 (2004).

  • K. Anand and G. Bianconi, Entropy measures for networks: Toward an information theory for complex topologies Phys. Rev. E 80 045102 (2009).
Key Modules:
Other Information:

Knowledge of probability and complex networks is a prerequisite.
Current Availability: Yes