Selected publications

All publications

27. J. Kim, J. Lee, H. Liu, T. Tran. Rainbow cycles in properly edge-colored graphs. Submitted, 9 pages.

26. S. Cambie, J. Kim, H. Liu, T. Tran. A proof of Frankl's conjecture on cross-union families. Submitted, 9 pages.

 

25. J. Kim, H. Liu, T. Tran. Exponential decay of intersection volume with applications on list-decodability and Gilbert-Varshamov type bound. Submitted, 24 pages.

24. K. Hendrey, B. Lund, C. Tompkins, T. Tran. Maximal 3-wise intersecting families. Submitted, 9 pages.

23. T. Tran. The smallest singular value of random combinatorial matrices. Submitted, 26 pages.

22. M. Bucic, B. Sudakov, T. Tran. Erdos-Szekeres theorem for multidimensional arrays. Journal of the European Mathematical Society (2022).

DOI: 10.4171/JEMS/1262.

21. D. Chakraborti, J. H. Kim, J. Lee, T. Tran. Majority dynamics on sparse random graphs. Random Structures & Algorithms, to appear.

20. T. Tran. Two problems in graph Ramsey theory. European Journal of Combinatorics 104 (2022), 103552.

19. M. Bucic, N. Draganic, B. Sudakov, T. Tran. Unavoidable hypergraphs. Journal of Combinatorial Theory Series B 151 (2021), 307-338

18. J. Corsten, T. Tran. Balanced supersaturation for some degenerate hypergraphsJournal of Graph Theory 97 (2021), 600-623.

17. M. Bucic, M. Kwan, A. Pokrovskiy, B. Sudakov, A. Z. Wagner, T. Tran. Nearly-linear monotone paths in edge-ordered graphsIsrael Journal of Mathematics 238 (2020), 663-685.

16. M. Kwan, S. Letzter, B. Sudakov, T. Tran. Dense induced bipartite subgraphs in triangle-free graphsCombinatorica  40 (2020), 283-305.

15. M. Kwan, B. Sudakov, T. Tran
Anticoncentration for subgraph statisticsJournal of the London Mathematical Society 99 (2019), 757-777.


14. S. Das, R. Glebov, B. Sudakov, T. Tran. Colouring set families without monochromatic k-chainsJournal of Combinatorial Theory Series A 168 (2019), 84-119.

13. M. Bednarska-Bzdega, O. Ben-Eliezer, L. Gishboliner, T. Tran. On the separation conjecture in Avoider-Enforcer gamesJournal of Combinatorial Theory Series B 138 (2019), 41-77.

 

12. J. Balogh, S. Das, H. Liu, M. Sharifzadeh, T. Tran. Structure and supersaturation for intersecting familiesElectronic Journal of Combinatorics 26(2) (2019), P2.34, 38 pages.

 

11. G. Kronenberg, C. Kusch, A. Lamaison, P. Micek, T. Tran. A note on the minimum number of edges in hypergraphs with property OEuropean Journal of Combinatorics 81 (2019), 172-177.

 

10. J. Hladky, A. Nachmias, T. Tran. The local limit of the uniform spanning tree on dense graphsJournal of Statistical Physics 173 (2018), 502-545. Special Issue on Complex Networks. 

 

9. T. Tran. On the structure of large sum-free sets of integersIsrael Journal of Mathematics 228 (2018), 249-292.

8. M. Bucic, S. Letzter, B. Sudakov, T. Tran. Minimum saturated families of setsBulletin of the London Mathematical Society 50 (2018), 725-732.

7. D. Clemens, S. Das, T. Tran. Colourings without monochromatic disjoint pairsEuropean Journal of Combinatorics 70 (2018), 99-124.

6. L. Narins, T. Tran. A Density Turán TheoremJournal of Graph Theory 85 (2017), 496-524. 

5. S. Das, T. Tran. Removal and Stability for Erdos-Ko-RadoSIAM Journal on Discrete Mathematics 30 (2016), 1102-1114.

4. D. Clemens, T. Tran. Creating cycles in Walker-Breaker gamesDiscrete Mathematics 339 (2016), 2113-2126.

3. D. Clemens, J. Ehrenmüller, Y. Person, T. Tran. Keeping Avoider's graph almost acyclicElectronic Journal of Combinatorics 22(1) (2015), P1.60, 12 pages.

2. T. Tran, G. M. Ziegler. Extremal edge polytopesElectronic Journal of Combinatorics 21(2) (2014), P2.57, 16 pages.

1. N. V. Trung, T. M. Tuan. Equality of ordinary and symbolic powers of Stanley-Reisner idealsJournal of Algebra 328 (2011), 77-93.

 

Other writings

1. Trần Mạnh Tuấn. László Lovász, đồng chủ nhân giải Abel 2021, Thông Tin Toán học (Newsletter of the Vietnamese Mathematical Society) 25.1 (2021), 11-13.

Co-authors

Jozsef BaloghMalgorzata Bednarska-Bzdega, Omri Ben-Eliezer, Matija Bucic (4), Stijn CambieDebsoumya ChakrabortiDennis Clemens (3), Shagnik Das (4), Nemanja DraganicJulia Ehrenmüller, Lior Gishboliner, Kevin HendreyJan Hladky, Jaehoon Kim (3), Jeong Han KimGal Kronenberg, Chris Kusch, Matthew Kwan (3), Ander Lamaison, Joonkyung Lee (2), Shoham Letzter (2), Hong Liu (4), Ben LundPiotr Micek, Asaf Nachmias, Lothar Narins, Yury Person, Alexey Pokrovskiy, Maryam Sharifzadeh, Benny Sudakov (7), Casey TompkinsNgo Viet Trung, Adam Zsolt Wagner, Günter M. Ziegler.