Oliver Cooley  Main 
About me 
Research 
Publications 
Teaching 
Institute 
Combinatorics Group
Publications
Papers submitted for publication
 Highorder bootstrap percolation in hypergraphs , (with Julian Zalla), submitted.
 Warning Propagation: stability and subcriticality, (with Joon Lee, Jean B. Ravelomanana), submitted.
 The sparse parity matrix, (with Amin CojaOghlan, Mihyun Kang, Joon Lee, Jean B. Ravelomanana), submitted.
 Paths, cycles and sprinkling in random hypergraphs, submitted.
Journal Articles
 Loose cores and cycles in random hypergraphs (with Mihyun Kang, Julian Zalla), accepted for publication in Electronic Journal of Combinatorics.
 On a question of Vera T. Sós about size forcing of graphons (with Mihyun Kang, Oleg Pikhurko), accepted for publication in Acta Mathematica Hungarica.
 Phase transition in cohomology groups of nonuniform random simplicial complexes (with Nicola Del Giudice, Mihyun Kang, Philipp Sprüssel), Electronic Journal of Combinatorics 29 (2022), no. 3, Paper 3.27.
 Longest paths in random hypergraphs (with Frederik Garbe, Eng Keat Hng, Mihyun Kang, Nicolás SanhuezaMatamala, Julian Zalla), SIAM J. Discrete Math. 354 (2021), pp. 24302458.
 Large induced matchings in random graphs (with Nemanja Draganić, Mihyun Kang, Benny Sudakov), SIAM J. Discrete Math. 35 (2021), no. 1, 267280.
 Subcritical random hypergraphs, highorder components, and hypertrees (with Wenjie Fang, Nicola Del Giudice, Mihyun Kang), SIAM J. Discrete Math., 34 (2020), no. 4, 20332062.
 Multicoloured jigsaw percolation on random graphs (with Abraham Gutiérrez), Journal of Combinatorics, 11 (2020), no. 4, 603624.
 Vanishing of cohomology groups of random simplicial complexes (with Nicola del Giudice, Mihyun Kang, Philipp Sprüssel), Random Structures and Algorithms, 56 (2020), 461500.
 The sharp threshold for jigsaw percolation in random graphs (with Tobias Kapetanopoulos, Tamás Makai), Advances in Applied Probability, 51(2) (2019), 378407.
 The size of the giant component in random hypergraphs: a short proof (with Mihyun Kang, Christoph Koch), Electronic Journal of Combinatorics 26 (2019), no. 3, Paper 3.6, 17 pp.
 Core forging and local limit theorems for the kcore of random graphs (with Amin CojaOghlan, Mihyun Kang, Kathrin Skubch), Journal of Combinatorial Theory, Series B 137 (2019), 178231.
 The size of the giant component in random hypergraphs (with Mihyun Kang, Christoph Koch), Random Structures and Algorithms 53 (2018), 238288.
 Largest components in random hypergraphs (with Mihyun Kang, Yury Person), Combinatorics, Probability and Computing 27 (2018), no. 5, 741762.
 Jigsaw percolation on random hypergraphs (with Béla Bollobás, Mihyun Kang, Christoph Koch), Journal of Applied Probability 54 (2017), 12611277.
 The minimum bisection in the planted bisection model (with Amin CojaOghlan, Mihyun Kang, Kathrin Skubch), Theory of Computing, 13 (2017), 122.
 How does the core sit inside the mantle? (with Amin CojaOghlan, Mihyun Kang, Kathrin Skubch), Random Structures and Algorithms, 51 (2017), 459482.
 The minimum vertex degree for an almostspanning tight cycle in a 3uniform hypergraph (with Richard Mycroft), Discrete Math. 340 (2017), no. 6, 11721179.
 Tight cycles and regular slices in dense hypergraphs (with Peter Allen, Julia Böttcher, Richard Mycroft), Journal of Combinatorial Theory, Series A 149 (2017), 30100.
 Threshold and hitting time for highorder connectedness in random hypergraphs (with Mihyun Kang, Christoph Koch), Electron. J. Combin. 23 (2016), no. 2, Paper 2.48, 14 pp.
 The LoeblKomlósSós conjecture for large dense graphs, Discrete Math. 309 (2009), no. 21, 61906228.
 Embeddings and Ramsey numbers of sparse kuniform hypergraphs (with Nikolaos Fountoulakis, Daniela Kühn, Deryk Osthus), Combinatorica 29 (2009), 263297.
 3uniform hypergraphs of bounded degree have linear Ramsey numbers (with Nikolaos Fountoulakis, Daniela Kühn, Deryk Osthus), J. Combinatorial Theory Series B 98 (2008), 484505.
 Perfect packings with complete graphs minus an edge (with Daniela Kühn, Deryk Osthus), European J. Combinatorics 28 (2007), 21432155.
Publications in peerreviewed conference proceedings
 The sparse parity matrix (with Amin CojaOghlan, Mihyun Kang, Joon Lee, Jean Bernoulli Ravelomanana), in Proceedings of the 2022 Annual ACMSIAM Symposium on Discrete Algorithms (SODA).
 On a question of Vera T. Sós about size forcing of graphons (extended abstract) (with Mihyun Kang, Oleg Pikhurko), In Proceedings of the European Conference on Combinatorics, Graph Theory and Applications (EuroComb 2021), CRM Research Perspectives, Springer.
 Loose Cores and Cycles in Random Hypergraphs (extended abstract) (with Mihyun Kang, Julian Zalla), In Proceedings of the European Conference on Combinatorics, Graph Theory and Applications (EuroComb 2021), CRM Research Perspectives, Springer.
 Cohomology groups of nonuniform random simplicial complexes (with Nicola Del Giudice, Mihyun Kang, Philipp Sprüssel), Acta Math. Univ. Comenian. (N.S.) 88 (2019), no. 3, 553560. (Eurocomb 2019).
 Subcritical random hypergraphs, highorder components, and hypertrees (with Wenjie Fang, Nicola Del Giudice, Mihyun Kang), 2019 Proceedings of the Sixteenth Workshop on Analytic Algorithmics and Combinatorics (ANALCO), 111118, SIAM, Philadelphia, PA, 2019.
 Vanishing of cohomology groups of random simplicial complexes (with Nicola Del Giudice, Mihyun Kang, Philipp Sprüssel), Proceedings of the 27th International Conference on Probabilistic, Combinatorial and Asymptotic Methods for the Analysis of Algorithms (AofA 2018), pp. 7:17:14.
 Homological connectedness of random hypergraphs (with Penny Haxell, Mihyun Kang, Philipp Sprüssel), Proceedings of the European Conference on Combinatorics, Graph Theory and Applications (EuroComb 2017), Electronic Notes in Discrete Mathematics 61 (2017), 279285.
 Regular slices for hypergraphs (with Peter Allen, Julia Böttcher, Richard Mycroft), Proceedings of the European Conference on Combinatorics, Graph Theory and Applications (Eurocomb 2015), Electronic
Notes in Discrete Mathematics 49, 691698.
 Tight Cycles in Hypergraphs (with Peter Allen, Julia Böttcher, Richard Mycroft), Proceedings of the European Conference on Combinatorics, Graph Theory and Applications (Eurocomb 2015), Electronic
Notes in Discrete Mathematics 49, 675682.
 Evolution of highorder connected components in random hypergraphs (with Mihyun Kang, Christoph Koch), Proceedings of the European Conference on Combinatorics, Graph Theory and Applications (EuroComb 2015), Electronic Notes in Discrete Mathematics (2015), 569575.
 How does the core sit inside the mantle? (with Amin CojaOghlan, Mihyun Kang, Kathrin Skubch), Proceedings of the European Conference on Combinatorics, Graph Theory and Applications (EuroComb 2015), Electronic Notes in Discrete Mathematics (2015), 489496.
 The minimum bisection in the planted bisection model (with Amin CojaOghlan, Mihyun Kang, Kathrin Skubch), Proceedings of the 19th International Workshop on Randomization and Computation (RANDOM 2015), Leibniz International Proceedings in Informatics (LIPIcs), 710725, 2015.
 Minimum degree conditions for large subgraphs (with Peter Allen, Julia Böttcher, Jan Hladký), Proceedings of the European Conference on Combinatorics, Graph Theory and Applications (EuroComb 2009), Electronic Notes in Discrete Mathematics
34, 7479.
 LoeblKomlósSós conjecture: dense case (with Jan Hladký, Diana Piguet), Proceedings of the European Conference on Combinatorics, Graph Theory and Applications (EuroComb 2009), Electronic Notes in Discrete Mathematics
34, 609613.
