## Publications

- (with S. Jowett, J. Oxley, C. Semple, and G. Whittle) What is a 4-connected matroid?

Submitted. - (with A. Munaro, D. Paulusma, and S. Yang) Comparing width parameters on graph classes.

Submitted. - The excluded minors for GF(5)-representable matroids on ten elements.

Submitted [code]. - (with R. Pendavingh) Computing excluded minors for classes of matroids representable over partial fields.

Submitted [code].

- (with J. J. Oostveen, S. Pandey, D. Paulusma, and E. J. van Leeuwen) Computing subset vertex covers in H-free graphs.

Proceedings of FCT 2023. LNCS 14292, 88-102 [doi].

- (with J. Oxley, C. Semple, and G. Whittle) The excluded minors for 2- and 3-regular matroids.

*Journal of Combinatorial Theory, Series B***163**(2023) 133-218 [doi].

- (with J. Oxley, C. Semple, and G. Whittle) Excluded minors are almost fragile II: essential elements.

*Journal of Combinatorial Theory, Series B***163**(2023) 272-307 [doi].

- (with K. Grace) Generalized spikes with circuits and cocircuits of different cardinalities.

*Advances in Applied Mathematics***151**(2023), 102578 [doi].

- (with C. Semple and G. Toft) Cyclic matroids.
*SIAM Journal on Discrete Mathematics***37**(2023), 1212-1236 [doi].

- (with F. Bonomo-Braberman, A. Munaro and D. Paulusma) Solving problems on generalized convex graphs via mim-width.

Proceedings of WADS 2021. LNCS 12808, 200-214 [doi].

*Journal of Computer and System Sciences***140**(2024), 103493 [doi]. - (with M. Johnson and D. Paulusma) Computing weighted subset odd cycle transversals in H-free graphs.

Proceedings of WADS 2021. LNCS 12808, 229-242 [doi].

*Journal of Computer and System Sciences***128**(2022), 71-85 [doi]. - (with B. Bergougnoux, É. Bonnet, and O. Kwon) Close relatives of Feedback Vertex Set without single-exponential algorithms parameterized by treewidth.

Proceedings of IPEC 2020. LIPIcs 180, 3:1-3:17 [doi].

- (with J. Horsfield, A. Munaro, and D. Paulusma) List
*k*-colouring*P*-free graphs: a mim-width perspective._{t}*Information Processing Letters***173**(2022), 106168 [doi].

- (with A. Munaro, G. Paesani, and D. Paulusma) Bounding the mim-width of hereditary graph classes.

Proceedings of IPEC 2020. LIPIcs 180, 6:1-6:18 [doi].

*Journal of Graph Theory***99**(2022), 117-151 [doi]. - (with M. Johnson, G. Paesani, and D. Paulusma) Computing subset transversals in H-free graphs.

Proceedings of WG 2020. LNCS 12301, 187-199 [doi].

*Theoretical Computer Science***902**(2022), 76-92 [doi].

- (with H. L. Bodlaender, M. Johnson, G. Paesani, D. Paulusma, and E. J. van Leeuwen) Steiner trees for hereditary graph classes.

Proceedings of LATIN 2020. LNCS 12118, 613-624 [doi].

*Theoretical Computer Science***867**(2021), 30-39 [doi].

- (with A. Agrawal, A. Biswas, É. Bonnet, R. Curticapean, D. Marx, T. Miltzow, V. Raman, and S. Saurabh) Parameterized streaming algorithms for Min-Ones-d-SAT.

Proceedings of FSTTCS 2019. LIPIcs 150, 8:1-8:20 [doi]

- (with B. Clark, J. Oxley, C. Semple, and G. Whittle) Excluded minors are almost fragile.
*Journal of Combinatorial Theory, Series B***140**(2020), 263-322 [doi].

- (with D. Chun, T. Fife, and C. Semple) Matroids with a cyclic arrangement of circuits and cocircuits.
*European Journal of Combinatorics***81**(2019), 195-209 [doi].

- (with R. Campbell, D. Chun, K. Grace, and G. Whittle) On a generalization of spikes.
*SIAM Journal on Discrete Mathematics***33**(2019), 358-372 [doi].

- (with G. Whittle and A. Williams) N-detachable pairs in 3-connected matroids III: the theorem.
*Journal of Combinatorial Theory, Series B***153**(2022), 223-290 [doi]. - (with G. Whittle and A. Williams) N-detachable pairs in 3-connected matroids II: life in X.
*Journal of Combinatorial Theory, Series B***149**(2021), 222-271 [doi].

- (with G. Whittle and A. Williams) N-detachable pairs in 3-connected matroids I: unveiling X.
*Journal of Combinatorial Theory, Series B***141**(2020), 295-342 [doi].

- (with É. Bonnet, O. Kwon, and D. Marx) Generalized feedback vertex set problems on bounded-treewidth graphs: chordality is the key to single-exponential parameterized algorithms.

Proceedings of IPEC 2017. LIPIcs 89, 7:1-7:13 [doi].*Algorithmica***81**(2019), 3890-3935 [doi].

- (with É. Bonnet, O. Kwon, and D. Marx) Parameterized vertex deletion problems for hereditary graph classes with a block property.

Proceedings of WG 2016. LNCS 9941, 233-244 [doi].

- (with J. Bensmail) Orienting edges to fight fire in graphs.
*Australasian Journal of Combinatorics***71**(2018), 21-42 [link]. - (with P. Aboulker, F. Havet, D. Marx, and N. Trotignon) Coloring graphs with constraints on connectivity.
*Journal of Graph Theory***85**(2017), 814-838 [doi]. - (with C. Semple) An algorithm for constructing a k-tree for a k-connected matroid.
*Annals of Combinatorics***19**(2015), 29-78 [doi]. - (with C. Semple) A Splitter Theorem relative to a fixed basis.
*Annals of Combinatorics***18**(2014), 1-20 [doi].

### Unpublished

- Aspects of Matroid Connectivity.

Ph.D. Thesis (2014), University of Canterbury. - The Tutte Polynomial.

Honours Project (2010), University of Canterbury.