Tran Nam Trung

Contact

Scientific CV

Scientific Publications

Publications

1. 1. Do Trong Hoang, Pham My Hanh, Tran Nam Trung, The regularity and unimodality of $h-$polynomial of corona graphs, Journal of Algebra and Its ApplicationsVol. 25, No. 03, 2550343 (2026) (2026)
2. 2. Mai Phuoc Binh, Nguyen Thu Hang, Truong Thi Hien, Tran Nam Trung, Depth stability of cover ideals, Journal of Algebraic Combinatorics, Volume 63, article number 3, (2026) (2026)
3. 3. Le Xuan Dung, Tran Nam Trung, Cohen–Macaulay oriented graphs with large girth, Journal of Algebraic Combinatorics, Volume 61, article number 14, (2025) (2025)
4. 4. Ha Minh Lam, Ngo Viet Trung, Tran Nam Trung, A general formula for the index of depth stability of edge ideals, Transactions of the American Mathematical Society 377 (2024), 8633-8657 (2024)
5. 5. Nguyen Cong Minh, Tran Nam Trung, Vu Quang Thanh, Stable value of depth of symbolic powers of edge ideals of graphs, Pacific Journal of Mathematics Vol. 329 (2024), No. 1, 147–164 (2024)
6. 6. Truong Thi Hien, Tran Nam Trung, Regularity of symbolic powers of square-free monomial ideals, Arkiv for Matematik, 61 (2023), 99–121 (2023)
7. 7. Tran Nam Trung, Regularity of edge ideals, Bulletin of the Malaysian Mathematical Sciences Society 45 (2022), no. 2, 613–621 (2022)
8. 8. Tran Nam Trung, On Gorenstein graphs, Journal of Algebraic Combinatorics, 54 (2021), pages 673–688, (2021)
9. 9. Tran Nam Trung, Maximal independent sets and regularity of graphs, International Journal of Algebra and Computation, 31 (2021), 807-818, (2021)
10. 10. Ha Huy Tai, Nguyen Dang Hop, Ngo Viet Trung, Tran Nam Trung, Depth functions of powers of homogeneous ideals, Proceedings of the American Mathematical Society, 149 (2021), 1837–1844, (2021)
11. 11. Nguyen Cong Minh, Luu Ba Thang, Tran Nam Trung, The number of roots of a polynomial system, Bulletin of the Australian Mathematical Society, 103 (2021), 369 - 378, (2021)
12. 12. Le Xuan Dung, Truong Thi Hien, Nguyen Dang Hop, Tran Nam Trung, Regularity and Koszul property of symbolic powers of monomial ideals, Mathematische Zeitschrift volume 298 (2021), 1487–1522, (2021)
13. 13. Ha Huy Tai, Nguyen Dang Hop, Ngo Viet Trung, Tran Nam Trung, Symbolic powers of sums of ideals, Mathematische Zeitschrift, 294 (2020), pages1499–1520, (2020)
14. 14. Tran Nam Trung, Regularity, matchings and Cameron–Walker graphs, Collectanea Mathematica 71 (2020), 83–91 (2020)
15. 15. Nguyen Cong Minh, Tran Nam Trung, Regularity of symbolic powers and arboricity of matroids, Forum Mathematicum 31 (2019), 465–477 (2019)
16. 16. Do Trong Hoang, Tran Nam Trung, Coverings, matchings and the number of maximal independent sets of graphs, Australasian Journal of Combinatorics, 73 (2019), 424-431 (2019)
17. 17. Nguyen Thu Hang, Tran Nam Trung, Regularity of powers of cover ideals of unimodular hypergraphs, Journal of Algebra, 513 (2018), 159-176 (2018)
18. 18. Le Tuan Hoa, Tran Nam Trung, Stability of Depth and Cohen-Macaulayness of Integral Closures of Powers of Monomial Ideals, Acta Mathematica Vietnamica, 43 (2018), 67–81 (2018)
19. 19. Do Trong Hoang, Tran Nam Trung, Buchsbaumness of the second powers of edge ideals, Journal of Algebra and Its Applications, 67 (2018), 21 pages (2018)
20. 20. Nguyen Thu Hang, Tran Nam Trung, The behavior of depth functions of cover ideals of unimodular hypergraphs,, Arkiv för Matematik, 55 (2017), 89-104 (2017)
21. 21. Ta Thi Hoai An, Hoang Le Truong, Nguyen Tat Thang, Tran Nam Trung, Thomas Hales, Mark Adams, Gertrud Bauer, Dang Tat Dat, Cezary Kaliszyk, Victor Magron, Sean Mclaughlin, Nguyen Quang Truong, Tobias Nipkow, Steven Obua, Joseph Pleso, Jason Rute, Alexey Solovyev, Alexey Solovyev, Thi Diep Trieu, Josef Urban, Ky Vu, Roland Zumkeller, Forum of Mathematics, Pi, 5 (2017) 29 pages. (2017)
22. 22. Le Tuan Hoa, Kyouko Kimura, Naoki Terai, Tran Nam Trung, Stability of depths of symbolic powers of Stanley-Reisner ideals, Journal of Algebra 473 (2017), 307–323 (2017)
23. 23. Tran Nam Trung, Stability of depths of powers of edge ideals, Journal of Algebra 452 (2016), 157–187 (2016)
24. 24. Ha Huy Tai, Ngo Viet Trung, Tran Nam Trung, Depth and regularity of powers of sums of ideals, Mathematische Zeitschrift 282 (2016), 819–838 (2016)
25. 25. Le Tuan Hoa, Tran Nam Trung, Castelnuovo-Mumford regularity of symbolic powers of two-dimensional square-free monomial ideals, Journal of Commutative Algebra, 8 (2016), 77-88 (2016)
26. 26. Do Trong Hoang, Tran Nam Trung, A characterization of triangle-free Gorenstein graphs and Cohen–Macaulayness of second powers of edge ideals., Journal of Algebraic Combinatorics, 43 (2016), 325–338 (2016)
27. 27. Selvi Beyarslan, Ha Huy Tai, Tran Nam Trung, Regularity of powers of forests and cycles, Journal of Algebraic Combinatorics, 42 (2015), 1077-1095 (2015)
28. 28. Do Trong Hoang, Nguyen Cong Minh, Tran Nam Trung, Cohen–Macaulay graphs with large girth, Journal of Algebra and Its Applications, 14 (2015), 16 pages (2015)
29. 29. Do Trong Hoang, Tran Nam Trung, Nguyen Cong Minh, Combinatorial characterizations of the Cohen-Macaulayness of the second power of edge ideals, Journal of Combinatorial Theory, Series A, 120 (2013), 1073 - 1086 (2013)
30. 30. Le Tuan Hoa, Tran Nam Trung, Partial Castelnuovo-Mumford regularities reduction number of sums and intersections of monomial ideals, Mathematical Proceedings of the Cambridge Philosophical Society, 149 (2010), 229 -- 246 (2010)
31. 31. Tran Nam Trung, Stability of associated primes of integral closures of monomial ideals, Journal of Combinatorial Theory, Series A, 116 (2009), 44-55. (2009)
32. 32. Tran Nam Trung, Regularity index of Hilbert functions of powers of ideals, Proceedings of the American Mathematical Society, 137 (2009), 2169-2174 (2009)
33. 33. Le Tuan Hoa, Tran Nam Trung, Castelnuovo-Mumford regularity of sums of powers of polynomial ideals, Communications in Algebra, 36 (2008), 806 - 820 (2008)

Preprints

1. 1. Mai Phuoc Binh, Nguyen Thu Hang, Truong Thi Hien, Tran Nam Trung, Depth stability of cover ideals (2023)
2. 2. Tran Nam Trung, Stability of Associated Primes and Depth of Integral Closures of Powers of Edge Ideals, 2021, arXiv:2108.01830. (2021)

Scientific Activities

Seminar

1. Syzygies of Powers of Homogeneous Ideals
2. Associated primes of powers of edge ideals of edge-weighted trees
3. Edge ideals of oriented weighted graphs
4. Cohen-Macaulay oriented graphs with large girth