Richard Montgomery

Towards the ErdősGallai Cycle Decomposition Conjecture
With Matija Bucić

Trees with many leaves in tournaments
With Alistair Benford

Transversal factors and spanning trees
With Alp Müyesser and Yani Pehova
Advances in Combinatorics, 2022

Trees with few leaves in tournaments
With Alistair Benford
Journal of Combinatorial Theory, Series B, 2022

Spanning cycles in random directed graphs

Spanning trees in dense directed graphs
With Amarja Kathapurkar
Journal of Combinatorial Theory, Series B, 2022

A solution to Erdős and Hajnal's odd cycle problem
With Hong Liu
Journal of the American Mathematical Society, to appear.

C4free subgraphs with large average degree
With Alexey Pokrovskiy and Benny Sudakov
Israel Journal of Mathematics, 2021.

A proof of Ringel's Conjecture
With Alexey Pokrovskiy and Benny Sudakov
Geometric and Functional Analysis, 2021

Decompositions into isomorphic rainbow spanning trees
With Stefan Glock, Daniela Kühn, and Deryk Osthus
Journal of Combinatorial Theory, Series B, 2021

Hamiltonicity in random directed graphs is born resilient
Combinatorics, Probability and Computing, 2020

Minimalist designs
With Ben Barber, Stefan Glock, Daniela Kühn, Allan Lo and Deryk Osthus
Random Structures and Algorithms, 2020

Spanning surfaces in 3graphs
With Agelos Georgakopoulos, John Haslegrave and Bhargav Narayanan
Journal of the European Mathematical Society, 2021

Decompositions into spanning rainbow structures
With Alexey Pokrovskiy and Benny Sudakov
Proceedings of the LMS, 2019

Embedding rainbow trees with applications to graph labelling and decomposition
With Alexey Pokrovskiy and Benny Sudakov
Journal of the European Mathematical Society, 2020

Universality for bounded degree spanning trees in randomly perturbed graphs
With Julia Böttcher, Jie Han, Yoshiharu Kohayakawa, Olaf Parczyk and Yury Person
Random Structures and Algorithms, 2019

Embedding spanning bounded degree graphs in randomly perturbed graphs
With Julia Böttcher, Olaf Parczyk and Yury Person
Mathematika, 2020

Forcing large tight components in 3graphs
With Agelos Georgakopoulos and John Haslegrave
European Journal of Combinatorics, 2019

Fractional clique decompositions of dense graphs
Random Structures and Algorithms, 2018

Rainbow spanning trees in properly coloured complete
graphs
With Jósef Balogh and Hong Liu
Discrete Applied Mathematics, 2018

Hamiltonicity in random graphs is born resilient
Journal of Combinatorial Theory, Series B, 2019

Spanning trees in random graphs
Advances in Mathematics, 2019

On the decomposition threshold of a given graph
With Stefan Glock, Daniela Kühn, Allan Lo and Deryk Osthus
Journal of Combinatorial Theory, Series B, 2019

Fractional clique decompositions of dense graphs and hypergraphs
With Ben Barber, Daniela Kühn, Allan Lo and Deryk Osthus
Journal of Combinatorial Theory, Series B, 2017

Fractional clique decompositions of partite graphs
Combinatorics, Probability and Computing, 2017

A proof of Mader's conjecture on large clique subdivisions in C_4free graphs
With Hong Liu
Journal of the London Mathematical Society, 2017

Almost all friendly matrices have many obstructions
SIAM Journal on Discrete Mathematics, 2015

Logarithmicallysmall minors and topological minors
Journal of the London Mathematical Society, 2014