My name is Leo Versteegen, and I am a departmental research fellow in combinatorics at the London School of Economics and Poltical Science. Until Summer 2024, I did my PhD under the supervision of Julia Wolf at the University of Cambridge. Directly after that, I completed a five month LMS Early Career Research Fellowship during which I was hosted by Alexey Pokrovskiy at University College London. Please get in touch for a copy of my CV.
E-Mail: {first letter of first name}+{lastname}+dot+"math"+at+"gmail"+dot+"com".
On norming systems of linear equations (2024), with S. Cho, D. Conlon, J. Lee and J. Skokan.
arXiV: 2411.18389
Around the positive graph conjecture (2024), with D. Conlon and J. Lee.
arXiV: 2404.17467
An exploration of the balance game (2024), with P. Dorbec, M. Henning and Z. Tuza.
arXiV: 2409.01796
Packing and finding paths in sparse random graphs (2024), with V. Iršič and J. Portier.
arXiV: 2409.02812
A proof of a conjecture of Erdős and Gyárfás on monochromatic path covers (2024), with A. Pokrovskiy and E. Williams.
arXiV: 2409.03623
Strongly common graphs with odd girth are cycles (2023)
arXiV: 2305.10903
Upper Bounds for Linear Graph Codes (2025)
Random Structures & Algorithms 66(1): e21263
DOI: 10.1002/rsa.21263
A note on interval colourings of graphs (2024), with M. Axenovich, A. Girão, L. Hollom, J. Portier, E. Powierski, M. Savery and Y. Tamitegama.
European Journal of Combinatorics 120: Paper No. 103956
DOI: 10.1016/j.ejc.2024.103956
On the number of minimum dominating sets and total dominating sets in forests (2024), with J. Petr and J. Portier.
Journal of Graph Theory 106(4): 976–993
DOI: 10.1002/jgt.23107
Progress towards the 1/2-Conjecture for the domination game (2024), with J. Portier.
Discrete Applied Mathematics 351: 36–43
DOI: 10.1016/j.dam.2024.03.001
Improved bounds for the dimension of divisibility (2024), with V. Souza.
European Journal of Combinatorics 118: Paper No. 103912, 11
DOI: 10.1016/j.ejc.2023.103912
A proof of the 3/5-conjecture in the domination game (2024)
European Journal of Combinatorics 122: Paper No. 104034
DOI: 10.1016/j.ejc.2024.104034
The structure of large Sum-free sets in $\mathbb{F}_p^n$ (2024)
The Quarterly Journal of Mathematics: haae042
DOI: 10.1093/qmath/haae042
A note on cops and robbers, independence number, domination number and diameter (2023), with J. Petr and J. Portier.
Discrete Mathematics 346(1): Paper No. 113175, 5
DOI: 10.1016/j.disc.2022.113175
Linear configurations containing 4-term arithmetic progressions are uncommon (2023)
Journal of Combinatorial Theory 200: 105792
DOI: 10.1016/j.jcta.2023.105792
Common and Sidorenko equations in Abelian groups (2023), with L. Versteegen.
Journal of Combinatorics 14(1): 53–67
DOI: 10.4310/joc.2023.v14.n1.a3
A faster algorithm for cops and robbers (2022), with J. Petr and J. Portier.
Discrete Applied Mathematics 320: 11–14
DOI: 10.1016/j.dam.2022.05.019
A proof of the 3/4 conjecture for the total domination game (2022), with J. Portier.
Accepted for publication in SIAM J. Discrete Math.: