Papers by topic:
The Strong Nine Dragon Tree Conjecture:
1) The Pseudoforest analogue for the Strong Nine Dragon Tree Conjecture is True (with Logan Grout). Journal of Combinatorial Theory, Series B, 2020.
2) The Strong Nine Dragon Tree Conjecture is true for k <= d+1 (with Sebastian Mies). Combinatorica, Volume 43, pages 1215–1239, (2023)
3)The overfull nine dragon tree conjecture is true (With Sebastian Mies). Innovations in Graph Theory, Volume 1 (2024) .
4) Beyond the pseudoforest strong nine dragon tree theorem (With Sebastian Mies and Evelyne Smith-Roberge). European Journal of Combinatorics, 2025.
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 Alvaro Carbonero, Patrick Hompe, and Sophie Spirkl). Journal of Combinatorial Theory Series B, 2022.
8)Digraphs with all directed cycles the same length are not dichi-bounded (With Alvaro Carbonero, Patrick Hompe, and Sophie Spirkl). Electronic Journal of Combinatorics 2022.
9)On heroes in digraphs with forbidden induced forests (with Alvaro Carbonero, Hidde Koerts and Sophie Spirkl). European Journal of Combinatorics, Volume 125, 2025.
10) Orientations of cycles in digraphs of high chromatic number and high minimum out-degree (with Hidde Koerts and Sophie Spirkl). Submitted.
Graph Minors
11) Reconfiguration of graph minors (with Naomi Nishimura and Vijay Subramanya). Mathematical Foundations of Computer Science, 2018.
12) Graph Minors and the linear reducibility of Feynman Diagrams (with Karen Yeats). Advances in Theoretical and Mathematical Physics, 2019.
13)Local Hadwiger's Conjecture (with Lise Turner and Luke Postle). Journal of Combinatorial Theory, Series B, 2023.
14) Subchromatic numbers of powers of graphs with excluded minors (with Pedro Cortés, Pankaj Kumar, Patrice Ossona de Mendez, Daniel A. Quiroz). Discrete Mathematics 2024.
Colouring reconfiguration
15)A dichotomy theorem for circular colouring reconfiguration (with Richard Brewster, Jonathan Noel, and Sean McGuinness). Theoretical Computer Science, 2016.
16)Graph Homomorphism reconfiguration and Frozen H-colourings (with Richard Brewster, Jae-Baek Lee, Jonathan Noel, and Mark Siggers). Journal of Graph Theory, 2020.
17)Characterizing circular mixing when p/q < 4. (With Richard Brewster). Journal of Graph Theory, 2022.
18)Recolouring planar graphs of girth at least five (with Valentin Bartier, Nicola Bousquet, Carl Feghali, Marc Heinrich, and Théo Pierron). SIDMA 2023.
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 Zdeněk Dvořák, Micheala Seifrtova, and Robert Šámal). European Journal of Combinatorics, 2024.
Colouring graphs with forbidden subgraphs
21)Cycles in Color Critical Graphs (with Douglas B. West). Electronic Journal of Combinatorics, 2021.
Graph isomorphism:
22) Smoothed Analysis for graph isomorphism (with Michael Anastos and Matthew Kwan). Proceedings of STOC 2025.
Nowhere Zero Flows:
23) Flow-Critical Graphs (with Evelyne Smith-Roberge, Arnbjörg Soffía Árnadóttir, Zdeněk Dvořák, Robert Šámal and Bernard Lidický). Submitted.
Other papers:
24) Reconfiguring spanning and induced subgraphs (with Tesshu Hanaka, Takehiro Ito, Naomi Nishimura, Vijay Subramanya, Akira Suzuki, and Krishna Vaidyanathan). Theoretical Computer Science, 2020.
25) Decompositions into forests of bounded length (with Rutger Campbell and Florian Hörsch). Discrete Mathematics 2025.
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) , Zdeněk Dvořák (2) , Sophie Spirkl (3) , Richard Brewster (3) , Jonathan Noel (2) , Evelyne Smith-Roberge (3) , Robert Šámal (2) ,
Carl Feghali (1) , Sean Mcguinness (1) , Karen Yeats (1), Daniel Quiroz (1) , Patrice Ossona de Mendez (1) , Pankaj Kumar (1) , Douglas Brent West (1) , Rutger Campbell (1) , Pedro Cortés (1) , Théo Pierron (1) , Jae-Baek Lee (1) , Sebastian Mies (5) , Naomi Nishimura (3) , Mark Siggers (1) , Florian Hörsch (1), Alvaro Carbonero (2) , Patrick Hompe (1) , Michela Seifrtova (1) , Hidde Koerts (2) , 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), Arnbjörg Soffía Árnadóttir (1), Bernard Lidický (1)