Preprint: Three Theorems on Negami's Planar Cover Conjecture, with Dickson Y. B. Annor and Yuri Nikolayevsky, (2024).
K1222 has no n-fold planar cover for n<14, with Dickson Y. B. Annor and Yuri Nikolayevsky, to appear in Graphs and Combinatorics.
An exact algorithm for the Euclidean k-Steiner tree problem, with Marcus Brazil, Michael Hendriksen, Jae Lee, Charl Ras and Doreen Thomas, Comput. Geom. 121 (2024), paper no. 102099.
A note on the number of regions in a line arrangement, with Dickson Y. B. Annor, Australas. J. Combin. 85(3) (2023), 308-312.
Intersecting longest paths in chordal graphs, with Daniel J. Harvey, Discrete Math 346 (4), (2023).
arXiv only: Overlaid oriented Voronoi diagrams and the 1-Steiner tree problem, with Charl Ras and Marcus Volz, (2020).
Three-colouring three-dimensional uniform hypergraphs, with Ahmad Biniaz, Prosenjit Bose and Jean Cardinal. In Proceedings of the 31st Canadian Conference in Computational Geometry (CCCG'19), pages 23–28, (2019).
Bichromatic lines in the plane, SIAM J. Discrete Math. 31, (2017), no. 2, 857-864. Here is the code used to check for small counterexamples.
Ramsey-type theorems for lines in 3-space, with Jean Cardinal and Noam Solomon, Discrete Math. Theor. Comput. Sci. 18 (2016), no. 3.
Thoughts on Barnette's Conjecture, with Helmut Alt, Jens M. Schmidt and David R. Wood, Australas. J. Combin. 64(2) (2016), 354-365.
Empty pentagons in point sets with collinearities, with János Barát, Vida Dujmović, Gwenaël Joret, Ludmila Scharf, Daria Schymura, Pavel Valtr and David R. Wood, SIAM J. Discrete Math. 29 (2015), no. 1, 198-209.
Progress on Dirac's conjecture, with David R. Wood, Electron. J. Combin. 21 (2014), no. 2, Paper 12.
Which point sets admit a k-angulation?, with Jens M. Schmidt and David R. Wood, J. Comput. Geom. 5 (2014), no. 1.
On the general position subset selection problem, with David R. Wood, SIAM J. Discrete Math. 27 (2013), no. 4, 1727-1733.
On the connectivity of visibility graphs, with Attila Pór, Pavel Valtr and David R. Wood, Discrete Comput. Geom. 48 (2012), no. 3, 669-681.
Unit distance graphs with ambiguous chromatic number, Electron. J. Combin. 16 (2009), no. 1, Note 31.
A dense distance 1 excluding set in R3, with D. Coulson, Austral. Math. Soc. Gaz. 34 (2007), no. 2, 97-102.
My PhD thesis (2014) is available here.