CompSci2NetSci: building the next generation of evolving complex networks

Primary supervisor

Additional information

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Other projects with the same supervisor

Funding

  • Competition Funded Project (European/UK Students Only)
This research project is one of a number of projects at this institution. It is in competition for funding with one or more of these projects. Usually the project which receives the best applicant will be awarded the funding. The funding is available to citizens of a number of European countries (including the UK). In most cases this will include all EU nationals. However full funding may not be available to all applicants and you should read the full department and project details for further information.

Project description

A complex network can be interpreted from the graph theory perspective as a large number of interacting and interdependent systems (nodes) coupled in a non-trivial and non-regular way (links). Typically, the nodes' dynamics are not considered, or just simplified. The tendency has been to use mathematical measurements to describe the topological properties of the network (especially, related to size, density and connectivity). This approach is more statistical than behavioural, and consequently has important limitations in the analysis of collective emergent dynamical properties, and network evolution and adaptation.

The main goal of this research is to propose a new generation of complex network models to analyse the pattern in different evolving and adaptive dynamical processes, in which the topology is directly dependent on the dynamics of the nodes. Pre-existing models of complex networks are not appropriate for this purpose. Furthermore, they fail to effectively reproduce a key aspect of complex networks: switching/discontinuous dynamical processes and modularly varying goals. This project will solve this by combining hybrid automaton models and control engineering paradigms. A hybrid automaton is a computational-oriented model for hybrid systems. Essentially this is a finite state machine that considers a dynamical subsystem in each discrete state.

The framework proposed here is general and applicable to a broad class of physical, biological and engineering systems. Depending on the student's interests, different application domains can be explored. This research would be part of the project DYVERSE (DYnamical-driven VERification of Systems with Energy considerations).

Person specification

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Essential

Applicants will be required to evidence the following skills and qualifications.

  • This project requires mathematical engagement and ability substantially greater than for a typical Computer Science PhD. Give evidence for appropriate competence, as relevant to the project description.
  • You must be capable of performing at a very high level.
  • You must have a self-driven interest in uncovering and solving unknown problems and be able to work hard and creatively without constant supervision.

Desirable

Applicants will be required to evidence the following skills and qualifications.

  • You will possess determination (which is often more important than qualifications) although you'll need a good amount of both.
  • You will have good time management.

General

Applicants will be required to address the following.

  • Discuss your final year Undergraduate project work - and if appropriate your MSc project work.
  • How well does your previous study prepare you for undertaking Postgraduate Research?
  • Comment on your transcript/predicted degree marks, outlining both strong and weak points.
  • Why do you believe you are suitable for doing Postgraduate Research?
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