Expander graphs, isoperimetric numbers, and forwarding indices. Expanders are sparse but well connected networks. With numerous applications to modern technology, they have attracted many world leaders in mathematics and computer science. This project aims at substantial advancement on some important problems on expanders and related areas. It will put Australia at the forefront of this topical field.
Relays and robustness: achieving optimal efficiency in wireless sensor networks. Wireless sensor networks consist of coordinated sensing and relay devices that offer us new ways to observe and interact with the physical world, with direct applications to national security and environmental monitoring. We aim to develop powerful new methods to get the best performance from a planned sensor network through smart relay deployment.