Tran Nam Trung


Dr.

Department of Mathematics for Computer Sciences
Research interests: Commutative Algebra


Address
Office: Building A5, Room 101
Tel: +84 (02)4 37563474/101
Email: tntrung AT math.ac.vn

Education

PhD 2009: at Institute of Mathematics, 2009 

Research areas: Commutative Algebra, Combinatorics

 

PUBLICATIONS

List of publications in MathSciNet

 

List of recent publications
1Tran Nam Trung, On Gorenstein graphs, Journal of Algebraic Combinatorics, 54 (2021), pages 673–688, SCI-E, Scopus.
2Tran Nam Trung, Maximal independent sets and regularity of graphs, International Journal of Algebra and Computation, 31 (2021), 807-818, (SCI-E, Scopus).
3Ha 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, (SCI-E, Scopus).
4Nguyen 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, (SCI-E, Scopus)
5Le 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 (SCI-E, Scopus).
6 Hà Huy Tài, Nguyen Dang Hop, Ngo Viet Trung, Tran Nam Trung, Symbolic powers of sums of ideals, Mathematische Zeitschrift, 294 (2020), pages1499–1520, SCI(-E), Scopus.
7Tran Nam Trung, Regularity, matchings and Cameron–Walker graphs, Collectanea Mathematica 71 (2020), 83–91, (SCI-E).
8Nguyen Cong Minh, Tran Nam Trung, Regularity of symbolic powers and arboricity of matroids. Forum Mathematicum 31 (2019), 465–477., (Scopus, SCI(-E)).
9Đỗ Trọng Hoàng, Tran Nam Trung, Coverings, matchings and the number of maximal independent sets of graphs, Australasian Journal of Combinatorics, 73 (2019), 424-431, Scopus.
10Tran Nam Trung, A Characterization of Gorenstein Planar Graphs, Adv. Stud. Pure Math, 77, Math. Soc. Japan, 2018.
11Nguyen Thu Hang, Tran Nam Trung, Regularity of powers of cover ideals of unimodular hypergraphs, Journal of Algebra, 513 (2018), 159-176, SCI(-E); Scopus.
12Le 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, Scopus.
13Đỗ Trọng Hoàng, Tran Nam Trung, Buchsbaumness of the second powers of edge ideals, Journal of Algebra and Its Applications, 67 (2018), 21 pages, SCI(-E); Scopus.
14Nguyen Thu Hang, Tran Nam Trung, The behavior of depth functions of cover ideals of unimodular hypergraphs, Arkiv för Matematik, 55 (2017), 89-104,SCI(-E); Scopus.
15Thomas Hales, Mark Adams, Gertrud Bauer, Tat Dat Dang, John Harrison, Hoang Le Truong, Cezary Kaliszyk, Victor Magron, Sean Mclaughlin, Nguyen Tat Thang, Quang Truong Nguyen, Tobias Nipkow, Steven Obua, Joseph Pleso, Jason Rute, Alexey Solovyev, Ta Thi Hoai An, Tran Nam Trung, Thi Diep Trieu, Josef Urban, Ky Vu, Roland Zumkeller, A formal proof of the Kepler onjecture, Forum of Mathematics, Pi, 5 (2017) 29 pages.
16Le 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, SCI(-E); Scopus.
17Tran Nam Trung, Stability of depths of powers of edge ideals. Journal of Algebra 452 (2016), 157–187,SCI(-E); Scopus.
18Ha Huy Tài, Ngo Viet Trung, Tran Nam Trung, Depth and regularity of powers of sums of ideals. Mathematische Zeitschrift 282 (2016), 819–838, SCI(-E); Scopus.
19Le 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, SCI(-E); Scopus.
20Đỗ Trọng Hoàng, 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, SCI(-E); Scopus.
21Selvi Beyarslan, Huy Tài Hà, Tran Nam Trung, Regularity of powers of forests and cycles, Journal of Algebraic Combinatorics, 42 (2015), 1077-1095, SCI(-E); Scopus.
22Đỗ Trọng Hoàng, Nguyên Công Minh, Tran Nam Trung, Cohen–Macaulay graphs with large girth, Journal of Algebra and Its Applications, 14 (2015), 16 pages, SCI(-E), Scopus.
23Đỗ Trọng Hoàng, 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, SCI(-E); Scopus.
24Le 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, SCI(-E); Scopus.
25Tran Nam Trung, Stability of associated primes of integral closures of monomial ideals, J. Combin. Theory Series A, 116 (2009), 44-55.
26Tran Nam Trung, Regularity index of Hilbert functions of powers of ideals, Proc. Amer. Math. Soc., 137 (2009), 2169-2174.
27Le Tuan Hoa, Tran Nam Trung, Castelnuovo-Mumford regularity of sums of powers of polynomial ideals, Comm. Algebra 36 (2008), 806 - 820.
Preprints
1IMH20210807, Truong Thi Hien, Tran Nam Trung, Regularity of symbolic powers of square-free monomial ideals, preprint arXiv:2108.06750v1.
2IMH20210804, Dong Huu Mau, Tran Nam Trung, Stability of Associated Primes and Depth of Integral Closures of Powers of Edge Ideals, 2021, arXiv:2108.01830.