Dr Charl RAS

Senior Lecturer

School of Mathematics and Statistics

  • Room: 141
  • Building: Peter Hall Building
  • Campus: Parkville Campus

Research Interests

  • Biological networks
  • Combinatorial optimisation
  • Discrete and computational geometry
  • Shortest network design
  • Survivable networks

Research Groups

Extra Information

My research primarily involves the use of techniques from graph theory, optimisation, and computational geometry for designing networks that are minimal under various edge-length objectives. I am interested in the design and asymptotic analysis of geometric network optimisation algorithms, including aspects such as computational complexity, fixed-parameter tractability, and NP-completeness. Some of the applications of my work are the optimisation of energy consumption in wireless ad-hoc networks, VLSI design, and phylogenetic tree construction. One of my current projects seeks to find mathematical tools and algorithms for the deployment and augmentation of optimal survivable networks. In this problem one is required to introduce a set of nodes and links into a geometric space so that the resultant network is multi-connected and is optimal with respect to some objective (for instance the sum of all edge-lengths). Finding good solutions to this problem will contribute to the economical construction of robust infrastructure and telecommunications networks, including transportation networks, utility networks, and fibre-optic networks such as the NBN.

Current Postgraduate Supervision

Name Thesis title
Patrick ANDERSEN "Coverage and connectivity in wireless sensor networks"
Chathranee ATHTHANAPOLA ARACHCHILAGE
Chathranee JAYATHILAKE

Current MSc Students

Name Project title
Alexandra SIMPSON
Aashima THUKRAL
Mark TURNER

Past MSc Students

Name Project title
Billy TANG

Subject(s) Currently Teaching

Code Subject
MAST20009 (620-231) Vector Calculus (Semester 1)

Responsibilities

  • Open Day Co-Ordinator

Committees

  • Recruitment and Publicity Committee