Publications

Preprints

  • On minimal Ramsey graphs and Ramsey equivalence in multiple colours. With D. Clemens and D. Reding, arXiv.
  • Asymptotic enumeration of graphs by degree sequence, and the degree sequence of a random graph. With N. Wormald, arXiv.

Publications

  • Caterpillars in Erdős-Hajnal. With M.Pilipczuk, P. Seymour and S. Spirkl, Journal of Combinatorial Theory Series B (2018), https://doi.org/10.1016/j.jctb.2018.09.002. pdf
  • Excluding hooks and their complements. With K. Choromanski, D. Falik, V. Patel and M. Pilipczuk, Electronic Journal of Combinatorics 25 (3) (2018), #P3.27. arXiv, EJC.
  • Ramsey equivalence of K_n and K_n+K_{n-1} . With T. F. Bloom, Electronic Journal of Combinatorics 25 (3) (2018), #P3.4. arXiv, EJC.
  • First order convergence of matroids. With F. Kardoš, D. Král' and L. Mach, European Journal of Combinatorics 59 (2017), 150–168. arXiv.
  • A non-trivial upper bound on the threshold bias of the Oriented-cycle game. With D. Clemens, Journal of Combinatorial Theory Series B 122 (2017), 21-54. arXiv.
    • An extended abstract appeared in The Seventh European Conference on Combinatorics, Graph Theory and Applications, 16 (2013), 359-363.
  • On the minimum degree of minimal Ramsey graphs for multiple colours. With J. Fox, A. Grinshpun, Y. Person and T. Szabó, Journal of Combinatorial Theory Series B 120 (2016), 64-82. arXiv.
  • Building spanning trees quickly in Maker-Breaker games. With D. Clemens, A. Ferber, R. Glebov and D. Hefetz, SIAM J. Discrete Math., 29(3) (2015), 1683–1705. SIDMA (pdf)
  • On the Concentration of the Domination Number of the Random Graph. With R. Glebov and T. Szabó, SIAM J. Discrete Math., 29(3) (2015), 1186–1206. SIDMA (pdf).
  • The Random Graph Intuition for the Tournament Game. With D. Clemens and H. Gebauer, Combinatorics, Probability and Computing, 25 (2016), 76-88. CPC. arXiv.
  • What is Ramsey-equivalent to a clique? With J. Fox, A. Grinshpun, Y. Person and T. Szabó, Journal of Combinatorial Theory Series B 109 (2014), 120-133. arXiv.
  • Fast Strategies In Maker–Breaker Games Played on Random Boards. With D. Clemens, A. Ferber and M. Krivelevich, Combinatorics, Probability and Computing, 21 (2012), 897-915. CPC. arXiv.