Papers by topic:
The Strong Nine Dragon Tree Conjecture:
1) The Strong Nine Dragon Tree Conjecture is true for k <= d+1 (with Sebastian Mies). Combinatorica, Volume 43, pages 1215–1239, (2023)
2) The Pseudoforest analogue for the Strong Nine Dragon Tree Conjecture is True (with Logan Grout). Journal of Combinatorial Theory, Series B, 2020.
3) Beyond the pseudoforest strong nine dragon tree theorem (With Sebastian Mies, and Evelyne Smith-Roberge). European Journal of Combinatorics, 2025.
4)The overfull nine dragon tree conjecture is true (With Sebastian Mies) Link to paper. Innovations in Graph Theory, 2024.
5) The Strong Nine Dragon Tree Conjecture is True when d <= 2(k+1) (with Sebastian Mies) Submitted.
6) An approximate version of the Strong Nine Dragon Tree Conjecture. (With Sebastian Mies). Submitted.
Dichromatic number and (di)chi-bounded papers
7)A counterexample to a conjecture about triangle-free induced subgraphs of graphs with large chromatic number (with A. Carbonero, P. Hompe, and S. Spirkl). Journal of Combinatorial Theory Series B, 2022.
8)On heroes in digraphs with forbidden induced forests (with A. Carbonero, H. Koerts and S. Spirkl). Accepted to the European Journal of Combinatorics.
9)Digraphs with all directed cycles the same length are not dichi-bounded (With A. Carbonero, P. Hompe, and S. Spirkl). Electronic Journal of Combinatorics 2022.
10) Orientations of cycles in digraphs of high chromatic number and high minimum out-degree (with H. Koerts and S. Sprikl). Submitted.
Graph Minors
11)Local Hadwiger's Conjecture (with Lise Turner and Luke Postle). Journal of Combinatorial Theory, Series B, 2023.
12) Graph Minors and the linear reducibility of Feynman Diagrams (with Karen Yeats). Advances in Theoretical and Mathematical Physics, 2019.
13) Reconfiguration of graph minors (with Naomi Nishimura and Vijay Subramanya). Mathematical Foundations of Computer Science, 2018.
14) Subchromatic numbers of powers of graphs with excluded minors (with P. Cortes, P. Kumar, P. Ossona de Mendez, D. A. Quiroz). Discrete Mathematics 2024.
Colouring reconfiguration
15)Graph Homomorphism reconfiguration and Frozen H-colourings (with Richard Brewster, Jae-Baek Lee, Jonathan Noel, and Mark Siggers). Journal of Graph Theory, 2020.
16)Characterizing circular mixing when p/q < 4. (With R. Brewster). Journal of Graph Theory, 2022.
17)Recolouring planar graphs of girth at least five (with V. Bartier, N. Bousquet, C. Feghali, M. Heinrich, and T. Pierron). SIAM discrete math 2023.
18)A dichotomy theorem for circular colouring reconfiguration (with R. Brewster, J. Noel, and S. McGuinness). Theoretical Computer Science, 2016.
Density bounds of critical graphs:
19)A density bound for triangle free 4-critical graphs (with Evelyne Smith Roberge). Journal of Graph Theory 2022.
Four-colouring graphs on surfaces:
20)Precolouring extension in planar near-Eulerian-triangulations (with Z. Dvorak, M. Seifrtova, and R. Samal) European Journal of Combinatorics, 2024.
Colouring graphs with forbidden subgraphs
21)Cycles in Color Critical Graphs (with Doug West). Electronic Journal of Combinatorics, 2021.
Graph isomorphism:
22) Smoothed Analysis for graph isomorphism (with M. Anastos and M. Kwan.). STOC 2025.
Nowhere Zero Flows:
23) Flow-Critical Graphs (with Evelyne Smith-Roberge, Soffia arnadottir, Zdenek Dvorak, Robert Samal and Bernard Lidicky). Submitted.
Other papers:
22) Decompositions into forests of bounded length (with Rutger Campbell and Florian Hörsch). Discrete mathematics 2025.
23) Reconfiguring spanning and induced subgraphs (with T. Hanaka, T. Ito, N Nishimura, V. Subramanya, A. Suzuki, and K Vaidyanathan). Theoretical Computer Science, 2020.
A list of my coauthors I was fortunate to work with, with links to their websites (in no particular order, the number meaning the number of joint works together)
Lise Turner (1) , Zdenek Dvorak (2) , Sophie Spirkl (3) , Richard Brewster (3) , Jonathan Noel (2) , Evelyne Smith Roberge (3) , Robert Samal (2) ,
Carl Feghali (1) , Sean Mcguinness (1) , Karen Yeats (1), Daniel Quiorz (1) , Patrice Ossona de Mendez (1) , Pankaj Kumar (1) , Doug West (1) , Rutger Campbell (1) , Pedro Cortez (1) , Theo Pierron (1) , Jae-Baek Lee (1) , Sebastian Mies (4) , Naomi Nishimura (3) , Mark Siggers (1) , Florian Hörsch (1), Alvaro Carbonero (2) , Patrick Hompe (1) , Michela Seifrtova (1) , Hidde Koerts (1) , Vijay Subramanya (2),Marc Heinrich (1) , Nicolas Bousquet (1) , Valantin Bartier (1) , Takehiro Ito (1) , Logan Grout (1) , Tesshu Hanaka (1) , Akira Suzuki (1) , Krishna Vaidyanathan (1), Matthew Kwan (1), Michael Anastos (1), Soffia Arnadottir (1), Bernard Lidicky (1)