List of publications

Preprints

• A. Z. Wagner, Constructions in combinatorics via neural networks. Code available here.
• J. Balogh, R. I. Garcia, L. Li and A. Z. Wagner, Intersecting families of sets are typically trivial
• B. Sudakov, I. Tomon and A. Z. Wagner, Infinite Sperner's theorem
• B. Sudakov, I. Tomon and A. Z. Wagner, Uniform chain decompositions and applications
• J. Long and A. Z. Wagner. The performance guarantee of randomized perfect voting trees

To Appear

• P. Keevash, I. Leader, J. Long and A. Z. Wagner. The extremal number of Venn diagrams, to appear in Proceedings of the American Mathematical Society.
• R. Nenadov, M. Sawhney, B. Sudakov and A. Z. Wagner. Bounded Degree Spanners of the Hypercube, to appear in Electronic Journal of Combinatorics.

2020

• M. Bucic, M. Kwan, A. Pokrovskiy, B. Sudakov, T. Tran and A. Z. Wagner. Nearly-linear monotone paths in edge-ordered graphs Israel Journal of Mathematics 238.2 (2020): 663-685.
• A. Z. Wagner. Refuting conjectures in extremal combinatorics via linear programming Journal of Combinatorial Theory, Series A 169 (2020): 105-130.
• R. Nenadov, B. Sudakov and A. Z. Wagner. Completion and deficiency problems Journal of Combinatorial Theory, Series B 145 (2020): 214-240.
• J. Balogh, F. C. Klemen, J. Skokan and A. Z. Wagner. The Ramsey Number of Fano Plane Versus Tight Path Electronic Journal of Combinatorics (2020): 1-60.
• J. Balogh, S. Petrickova and A. Z. Wagner, Families in posets minimizing the number of comparable pairs Journal of Graph Theory 95.4 (2020): 655-676.

2019

• J. Long and A. Z Wagner. The largest projective cube-free subsets of Z_{2^n} European Journal of Combinatorics 81 (2019): 156-171.
• M. Bucic, B. Lidicky, J. Long and A. Z. Wagner. Partition problems in high dimensional boxes, Journal of Combinatorial Theory, Series A 166 (2019): 315-336.
• C. Palmer, M. Tait, C. Timmons and A. Z. Wagner. Turan numbers for Berge-hypergraphs and related extremal problems, Discrete Mathematics 342.6 (2019): 1553-1563.
• A. Z. Wagner. A note on some conjectures about combinatorial models for RNA secondary structures, arXiV preprint.
• J. Balogh, M. Lavrov, G. Shakan and A. Z. Wagner. Monochromatic Hilbert cubes and arithmetic progressions Electronic Journal of Combinatorics 26.2 (2019): 2-22

2018

• J. Balogh, A. Treglown and A. Z. Wagner. Tilings in randomly perturbed dense graphs, Combinatorics, Probability and Computing (2018): 1-18.
• J. Balogh and A. Z. Wagner. Kleitman's conjecture about families of given size minimizing the number of k-chains, Advances in Mathematics 330 (2018): 229-252.
• J. Balogh, T. Meszaros and A. Z. Wagner. Two results about the hypercube, Discrete Applied Mathematics 247 (2018): 322-326.

2017 and older

• J. Balogh, S. Eberhard, B. Narayanan, A. Treglown and A. Z. Wagner. An improved lower bound for Folkman's Theorem, Bul. of the London Math. Soc., Vol. 49/4, 2017, 745-747.
• A. Z. Wagner. Large subgraphs in rainbow-triangle free colorings, Journal of Graph Theory, Volume 86, Issue 2, October 2017 Pages 141-148.
• J. Balogh and A. Z. Wagner. On the number of union-free families, Israel Journal of Mathematics 219.1 (2017): 431-448.
• J. Balogh, A. Treglown and A. Z. Wagner. Applications of Graph Containers in the Boolean Lattice, Random Structures & Algorithms 49.4 (2016): 845-872.
• J. Balogh and A. Z. Wagner. Further applications of the Container Method, Recent Trends in Combinatorics. Springer International Publishing, 2016. 191-213.
• Z. A. Wagner. Cops and Robbers on diameter two graphs, Discrete Mathematics 338.3 (2015): 107-109.
• Z. A. Wagner. Pursuit on Graphs, Master's thesis, Cambridge (Note: there is a mistake in section 5, the proof given is wrong, but fixable using this paper)