Publications

Preprints

• Graph factors and powers of Hamilton cycles in the budget-constrained random graph process (preprint)
  with Frederik Garbe, Tássio Naia and Zak Smith

• On the local resilience of random geometric graphs with respect to connectivity and long cycles (preprint)
  with Lyuben Lichev and Alexandra Wesolek

• Path decompositions of random directed graphs (preprint)
  with Viresh Patel and Fabian Stroh

Journal papers

• Exponential odd-distance sets under the Manhattan metric (preprint)
  with Emma Hogan, Freddie Illingworth, Lukas Michel, Julien Portier and Jun Yan
  Electronic Journal of Combinatorics (to appear)

• How many random edges make an almost-Dirac graph Hamiltonian? (preprint)
  with Richarlotte V. Razafindravola
  Electronic Journal of Combinatorics (to appear)

• Dirac's theorem for graphs of bounded bandwidth (preprint)
  with Pranshu Gupta, Domenico Mergoni Cecchelli, Olaf Parczyk and Amedeo Sgueglia
  Electronic Journal of Combinatorics (to appear)

• Seymour's second neighbourhood conjecture: random graphs and reductions (preprint) (doi)
  with António Girão, Bertille Granet and Gal Kronenberg
  Random Structures & Algorithms 66 (2025), e21251

• Sharp threshold for embedding balanced spanning trees in random geometric graphs (preprint) (doi)
  with Lyuben Lichev, Dieter Mitsche and Alexandra Wesolek
  Journal of Graph Theory 107 (2024), 107–125

• Long running times for hypergraph bootstrap percolation (preprint) (doi)
  with Barnabás Janzer, Gal Kronenberg and Joanna Lada
  European Journal of Combinatorics 115 (2024), paper nr. 103783

• Speeding up random walk mixing by starting from a uniform vertex (preprint) (doi)
  with Patrick Morris, Guillem Perarnau and Oriol Serra
  Electronic Journal of Probability 29 (2024), article no. 26

• Powers of Hamilton cycles in dense graphs perturbed by a random geometric graph (preprint) (doi)
  with Joseph Hyde
  European Journal of Combinatorics 121 (2024), paper nr. 103848

• Spanning F-cycles in random graphs (preprint) (doi)
  with Yury Person
  Combinatorics, Probability and Computing 32 (2023), 833–850

• Hamiltonicity of graphs perturbed by a random geometric graph (preprint) (doi)
  Journal of Graph Theory 103 (2023), 12–22

• Hamiltonicity of graphs perturbed by a random regular graph (preprint) (doi)
  with António Girão
  Random Structures & Algorithms 62 (2023), 857–886

• Hamiltonicity of random subgraphs of the hypercube (preprint) (doi)
  with Padraig Condon, António Girão, Daniela Kühn and Deryk Osthus
  Memoirs of the AMS 304.1534 (2024), 132

• Dirac's theorem for random regular graphs (preprint) (doi)
  with Padraig Condon, António Girão, Daniela Kühn and Deryk Osthus
  Combinatorics, Probability and Computing 30 (2021), 17–36

• Resilient degree sequences with respect to Hamilton cycles and matchings in random graphs (preprint) (doi)
  with Padraig Condon, Jaehoon Kim, Daniela Kühn and Deryk Osthus
  Electronic Journal of Combinatorics 26 (2019), P4.54

• Edge correlations in random regular hypergraphs and applications to subgraph testing (preprint) (doi)
  with Felix Joos, Daniela Kühn and Deryk Osthus
  SIAM Journal on Discrete Mathematics 33 (2019), 1837–1863

• Explicit bounds for growth of sets in non-abelian groups (doi)
  Reports@SCM 3 (2017), 17–26

Refereed conference publications

• Sharp threshold for embedding balanced spanning trees in random geometric graphs (doi)
  with Lyuben Lichev, Dieter Mitsche and Alexandra Wesolek
  Proceedings of the 12th European Conference on Combinatorics, Graph Theory and Applications (Eurocomb’23), 433–440

• An analogue of Chvátal's Hamiltonicity theorem for randomly perturbed graphs (doi)
  with Alexander Allin
  Discrete Mathematics Days 2022, 31–36

• Powers of Hamilton cycles in graphs perturbed by a random geometric graph (doi)
  with Joseph Hyde
  Discrete Mathematics Days 2022, 128–133

• Hamiltonicity of randomly perturbed graphs (doi)
  with António Girão
  Extended Abstracts EuroComb 2021, 38–44. Trends in Mathematics, vol. 14 (2021)

• Path decompositions of random directed graphs (doi)
  with Viresh Patel and Fabian Stroh
  Extended Abstracts EuroComb 2021, 702–706. Trends in Mathematics, vol. 14 (2021)

• Hamiltonicity of random subgraphs of the hypercube (doi)
  with Padraig Condon, António Girão, Daniela Kühn and Deryk Osthus
  Proceedings of the 2021 ACM-SIAM Symposium on Discrete Algorithms (SODA) (2021), 889–898

• Resilience with respect to Hamiltonicity in random graphs (journal version)
  with Padraig Condon, António Girão, Jaehoon Kim, Daniela Kühn and Deryk Osthus
  Acta Mathematica Universitatis Comenianae 88 (2019), 547–551 (Eurocomb 2019)

• Entropy versions of additive inequalities (doi)
  with Oriol Serra
  Electronic Notes in Discrete Mathematics 68 (2018), 179–184

Dissemination

• Buscando triángulos en grafos muy grandes: un ejemplo de property testing (journal version, in Spanish)
  TEMat 3 (2019), 87–100

• Conjecture and proof (journal)
  with José Luis Díaz-Barrero
  Arhimede Mathematical Journal 4.2 (2017), 106–117

• Progresiones aritméticas de colores (journal version, in Spanish)
  TEMat 1 (2017), 25–30

• Problemas directos e inversos en combinatoria aditiva: las desigualdades de Plünnecke (journal version, in Spanish)
  TEMat 1 (2017), 79–89

• On two problems on random walks (journal)
  Arhimede Mathematical Journal 2.2 (2015), 75–96