School of Mathematics
,
University of Birmingham
Andrew Treglown
Preprints and publications
Preprints:
The complexity of perfect matchings and packings in dense hypergraphs
(with
Jie Han
)
A note on solution-free sets of integers (with
Robert Hancock
)
Tiling directed graphs with tournaments
(with
Andrzej Czygrinow
,
Louis DeBiasio
and
Theo Molla
)
Exact minimum codegree threshold for K^-_4-factors
(with
Jie Han
,
Allan Lo
and
Yi Zhao
)
Sharp bound on the number of maximal sum-free subsets of integers
(with
József Balogh
,
Hong Liu
and
Maryam Sharifzadeh
)
On degree sequences forcing the square of a Hamilton cycle
(with
Katherine Staden
)
On solution-free sets of integers
(with
Robert Hancock
)
Accepted papers:
Applications of graph containers in the Boolean lattice
(with
József Balogh
and
Adam Zsolt Wagner
, Random Structures and Algorithms, to appear)
Papers:
2016
Proof of the 1-factorization and Hamilton decomposition conjectures
(with
Béla Csaba
,
Daniela Kühn
,
Allan Lo
and
Deryk Osthus
, Memoirs of the American Mathematical Society 244 (2016), monograph 1154, 170 pages)
A degree sequence Hajnal-Szemerédi theorem
(J. Combinatorial Theory Series B 118 (2016) 13-43)
A note on perfect matchings in uniform hypergraphs
(with
Yi Zhao
, Electronic Journal of Combinatorics 23(1) (2016) #P1.16 14 pages)
2015
On directed versions of the Hajnal-Szemerédi theorem
(Combinatorics, Probability and Computing 24 (2015) 873-928)
The number of maximal sum-free subsets of integers
(with
József Balogh
,
Hong Liu
and
Maryam Sharifzadeh
, Proceedings of the American Mathematical Society, 143 (2015) 4713-4721)
2014
A random version of Sperner's theorem
(with
József Balogh
and
Richard Mycroft
, J. Combinatorial Theory Series A, 128 (2014) 104-110)
2013
Monochromatic triangles in three-coloured graphs
(with
James Cummings,
Daniel Král',
Florian Pfender,
Konrad Sperfeld and
Michael Young
, J. Combinatorial Theory Series B 103 (2013) 489-503)
Exact minimum degree thresholds for perfect matchings in uniform hypergraphs II
(with
Yi Zhao
, J. Combinatorial Theory Series A 120 (2013) 1463-1482)
On perfect packings in dense graphs
(with
József Balogh
and
Alexandr V. Kostochka
, Electronic Journal of Combinatorics 20(1) (2013) #P57 17 pages)
Matchings in 3-uniform hypergraphs
(with
Daniela Kühn
and
Deryk Osthus
, J. Combinatorial Theory Series B 103 (2013) 291-305)
Embedding spanning bipartite graphs of small bandwidth
(with
Fiachra Knox
, Combinatorics, Probability and Computing 22 (2013) 71-96)
2012
Exact minimum degree thresholds for perfect matchings in uniform hypergraphs
(with
Yi Zhao
, J. Combinatorial Theory Series A 119 (2012) 1500-1522)
A note on some embedding problems for oriented graphs
(Journal of Graph Theory 69 (2012) 330-336)
2010
Hamilton decompositions of regular tournaments
(with
Daniela Kühn
and
Deryk Osthus
, Proceedings of the London Mathematical Society 101 (2010) 303-335)
Hamiltonian degree sequences in digraphs
(with
Daniela Kühn
and
Deryk Osthus
, J. Combinatorial Theory Series B 100 (2010) 367-380)
2009
An Ore-type theorem for perfect packings in graphs
(with
Daniela Kühn
and
Deryk Osthus
, SIAM Journal on Discrete Mathematics 23 (2009) 1335-1355)
Conference papers:
On a degree sequence analogue of Pósa’s conjecture
(with
Katherine Staden
, Electronic Notes in Discrete Mathematics, 49 (2015) 233-241)
A sharp bound on the number of maximal sum-free sets
(with
József Balogh
,
Hong Liu
and
Maryam Sharifzadeh
, Electronic Notes in Discrete Mathematics, 49 (2015) 57-64)
Tight minimum degree conditions forcing perfect matchings in uniform hypergraphs
(with
Yi Zhao
, The Seventh European Conference on Combinatorics, Graph Theory and Applications, CRM Series Vol. 16 (2013) 33-38)
Proof of the 1-factorization and Hamilton decomposition conjectures
(with
Béla Csaba
,
Daniela Kühn
,
Allan Lo
and
Deryk Osthus
, The Seventh European Conference on Combinatorics, Graph Theory and Applications, CRM Series Vol. 16 (2013) 477-482)
Matchings in 3-uniform hypergraphs of large minimum vertex degree
(with
Daniela Kühn
and
Deryk Osthus
, Electronic Notes in Discrete Mathematics, 38 (2011) 813-818)
Degree sequences forcing Hamilton cycles in directed graphs
(with
Daniela Kühn
and
Deryk Osthus
, Electronic Notes in Discrete Mathematics 34 (2009) 347-351)
Other publications:
Embedding problems in graphs and hypergraphs
(PhD thesis)
The regularity lemma and applications to packings in graphs
(MSci thesis)