Richard Mycroft · School of Mathematics · University of Birmingham

School of Mathematics, University of Birmingham

Richard Mycroft

Preprints and publications

Preprints:

Trees and tree-like structures in dense digraphs (with Tássio Naia), preprint.

Papers:

Classification of maximum hittings by large families (with Candida Bowtell), Graphs and Combinatorics 36 (2020), 27-39.
Hamilton l-cycles in randomly-perturbed hypergraphs (with Andrew McDowell), Electronic Journal of Combinatorics 25 (2018), P4.36.
Contagious sets in a degree-proportional bootstrap percolation process (with Frederik Garbe and Andrew McDowell), Random Structures & Algorithms 53 (2018), 638-651.
Hamilton cycles in hypergraphs below the Dirac threshold (with Frederik Garbe), Journal of Combinatorial Theory, Series A 133 (2018), 153-210.
Triangle-tilings in graphs without large independent sets (with Jozsef Balogh, Andrew McDowell and Theodore Molla ), Combinatorics, Probability and Computing 27 (2018), 449-474.

Unavoidable trees in tournaments (with Tássio Naia), Random Structures & Algorithms 53 (2018), 352-385.
An asymptotic multipartite Kühn-Osthus theorem (with Ryan Martin and Jozef Skokan), SIAM Journal of Discrete Mathematics 31 (2017), 1498-1513.
The minimum vertex degree for an almost-spanning tight cycle in a 3-uniform hypergraph (with Oliver Cooley), Discrete Mathematics 340 (2017), 1172-1179.
Tight cycles and regular slices in dense hypergraphs (with Peter Allen, Julia Böttcher and Oliver Cooley), Journal of Combinatorial Theory, Series A 149 (2017), 30-100.
Hamilton cycles in quasirandom hypergraphs (with John Lenz and Dhruv Mubayi), Random Structures & Algorithms 49 (2016), 363-378.
The complexity of the Hamilton cycle problem in hypergraphs of high minimum codegree (with Frederik Garbe), Proceedings of the 33rd STACS (2016), 38:1-13.
Packing k-partite k-uniform hypergraphs, Journal of Combinatorial Theory, Series A 138 (2016), 60-132.
A multipartite Hajnal-Szemerédi theorem (with Peter Keevash), Journal of Combinatorial Theory, Series B 114 (2015), 187-236.
Polynomial-time perfect matchings in dense hypergraphs (with Peter Keevash and Fiachra Knox), Advances in Mathematics 269 (2015), 265-334.
A geometric theory for hypergraph matching (with Peter Keevash), Memoirs of the American Mathematical Society 233 (2015), monograph 1098 (101 pages).
A random version of Sperner's theorem (with Jozsef Balogh and Andrew Treglown), Journal of Combinatorial Theory, Series A 128 (2014), 104-110.
Polynomial-time perfect matchings in dense hypergraphs (with Peter Keevash and Fiachra Knox), Proceedings of the 45th STOC (2013), 311-320.
An approximate version of Sumner's universal tournament conjecture (with Daniela Kühn and Deryk Osthus), Journal of Combinatorial Theory, Series B 101 (2011), 415-447.
A proof of Sumner's universal tournament conjecture for large tournaments (with Daniela Kühn and Deryk Osthus), Proceedings of the London Mathematical Society 102 (2011), 731-766.
Loose Hamilton cycles in hypergraphs (with Peter Keevash, Daniela Kühn and Deryk Osthus), Discrete Mathematics 311 (2011), 544-559.
Hamilton l-cycles in uniform hypergraphs (with Daniela Kühn and Deryk Osthus), Journal of Combinatorial Theory, Series A 117 (2010), 910-927.

Conference abstracts:

Spanning trees of dense directed graphs (with Tássio Naia), Electronic Notes in Theoretical Computer Science 346 (2019), 645-654.
Tight cycles in hypergraphs (with Peter Allen, Julia Bottcher and Oliver Cooley), Electronic Notes in Discrete Mathematics 49 (2015), 675-682.
Regular slices for hypergraphs (with Peter Allen, Julia Bottcher and Oliver Cooley), Electronic Notes in Discrete Mathematics 49 (2015), 691-698.
A multipartite Hajnal-Szemerédi theorem (with Peter Keevash), The Seventh European Conference on Combinatorics, Graph Theory and Applications, CRM Series Vol. 16 (2013), 141-146.
Packing k-partite k-uniform hypergraphs, Electronic Notes in Discrete Mathematics, 38 (2011), 663-668.
A proof of Sumner's universal tournament conjecture for large tournaments (with Daniela Kühn and Deryk Osthus), Electronic Notes in Discrete Mathematics 38 (2011), 687-692.