I work in the Discrete Mathematics Research Group of the School of Mathematical Sciences at Monash University in Melbourne, Australia. I am also co-Director of the Mathematical Research Institute MATRIX.
My research interests lie in discrete mathematics and theoretical computer science, especially structural graph theory, extremal graph theory, geometric graph theory, graph colouring, graph drawing, and combinatorial geometry. Here are a few of my favourite open problems.
News and Events
- Satellite Conference and Minisymposium, 25th Birthday Celebration of the Electronic Journal of Combinatorics, CanaDAM, Vancouver, May 2019
- 7th Annual Workshop on Geometry and Graphs, Bellairs Research Institute, March 2019
- Australasian Conference on Combinatorial Mathematics and Combinatorial Computing (41ACCMCC), Rotorua, New Zealand, December 2018
- New paper A golden ratio inequality on vertex degrees of graphs with Fiachra Knox and Bojan Mohar, August 2018
- New paper Defective and clustered colouring of sparse graphs with my student Kevin Hendrey, June 2018
- SIAM Conference on Discrete Mathematics (DM18), June 2018
- 2018 Barbados Graph Theory Workshop, April 2018
- New paper Better bounds for poset dimension and boxicity with Alex Scott, April 2018
- Completed dynamic survey Defective and clustered graph colouring, April 2018
- Joined the Steering Committee of the Free Journal Network, February 2018
- New paper Seymour's conjecture on 2-connected graphs of large pathwidth with Tony Huynh, Gwenaël Joret and Piotr Micek, January 2018