TS. Đỗ Trọng Hoàng

Giảng viên

Email: hoang.dotrong@hust.edu.vn

Các môn học đã và đang giảng dạy

1. Giải tích
2. Đại số tuyến tính
3. Toán rời rạc
4. Toán cao cấp dành cho các nhà kinh tế
5. Calculus
6. Linear Algebra
7. Đại số máy tính (Cao học)
8. Tối ưu tổ hợp (Cao học)
9. Lý thuyết đồ thị (Cao học)

Hướng nghiên cứu

- Đại số giao hoán (Iđêan đơn thức, vành Cohen-Macaulay, và các bất biến đại số)
- Lý thuyết đồ thị (tập độc lập, ghép cặp, đa thức độc lập, đồ thị phủ tốt,...)
- Độ phức tạp tính toán

 

Bài báo khoa học (journal)

  1. D.T. Hoang, Hop D. Nguyen, and Quang Hoa Tran (2024), Asymptotic regularity of invariant chains of edge ideals, Journal of Algebraic Combinatorics, to appear (https://link.springer.com/article/10.1007/s10801-023-01284-w)
  2. T. Ashitha, T. Asir, D.T. Hoang, and M.R. Pournaki (2023), Some bounds for the regularity of the edge ideals and their powers in a certain class of graphs, Studia Scientiarum Mathematicarum Hungarica: Combinatorics, Geometry and Topology, No 4, Vol 60, page 237–248 (https://akjournals.com/view/journals/012/60/4/article-p237.xml)
  3. D.T. Hoang and M. H. Pham (2022), The size of Betti tables of edge ideal of clique corona graphs , Archiv der Mathematik, No 118, pages 577–586 (https://link.springer.com/article/10.1007/s00013-022-01724-2)
  4. T. Ashitha, T. Asir, D.T. Hoang, and M.R. Pournaki (2021), Cohen–Macaulayness of a class of graphs versus the class of their complements, Discrete Mathematics, , Vol 344, 112525. (https://www.sciencedirect.com/science/article/abs/pii/S0012365X21002387)
  5. D.T. Hoang and T. Kahle (2021), Hilbert-Poincare series of parity binomial edge ideal of complete graphs, Collectanea Mathematica, No 72, pages 471-479 (https://link.springer.com/article/10.1007/s13348-020-00294-2)
  6. D.T. Hoang, H. R. Maimani, A. Mousivand and M.R. Pournaki (2021), Cohen-Macaulayness and Gorensteiness of two circulant graphs , Journal of Algebraic Combinatorics, 53 (2021), 805-827. (https://link.springer.com/article/10.1007/s10801-020-00943-6)
  7. D.T. Hoang (2020), On the Betti numbers of edge ideal of skew Ferrers graphs, International Journal of Algebra and Computation, No 30, pages 125–139 (https://worldscientific.com/doi/10.1142/S021819671950067X)
  8. D.T. Hoang, G. Rinaldo and N. Terai (2019), Cohen-Macaulay and Serre S2 properties of the second power of squarefree monomial ideals, Mathematics (Special Issue: "Current Trends on Monomial and Binomial Ideals"), No 684, pages 1-8 (https://www.mdpi.com/journal/mathematics/special_issues/Current_Trends_Monomial_Binomial_Ideals)
  9. D.T. Hoang and T.N. Trung (2019), Coverings, matchings and the number of maximal independent sets of graphs, Australasian Journal of Combinatorics, 73(3), 424-431 (https://ajc.maths.uq.edu.au/pdf/73/ajc_v73_p424.pdf)
  10. D.T. Hoang and T.N. Trung (2018), Buchbaumness of the second powers of edge ideals , Journal of Algebra and Its Applications, No 17, 21 pages (https://www.worldscientific.com/doi/abs/10.1142/S0219498818501177)
  11. H. de Alba and D.T. Hoang (2018), On the extremal Betti numbers of binomial edge ideal of closed graphs, Mathematische Nachrichten, No 291, Vol 1, pages 28-40 (https://onlinelibrary.wiley.com/doi/abs/10.1002/mana.201700292)
  12. D.T. Hoang (2016), Cohen-Macaulayness of saturation of the second power of edge ideals, Vietnam Journal of Mathematics, No 44, Vol 4, pages 649-664 (https://link.springer.com/article/10.1007/s10013-015-0180-9)
  13. D.T. Hoang and T.N. Trung (2016), A characterization of triangle-free Gorenstein graphs and Cohen-Macaulayness of second powers of edge ideals, Journal of Algebraic Combinatorics, No 43, Vol 2, pages 325-338 (https://link.springer.com/article/10.1007/s10801-015-0631-0)
  14. D.T. Hoang, N.C. Minh and T.N. Trung (2015), Cohen-Macaulay graphs with large girth, Journal of Algebra and Its Applications, No 14, Vol 7, 16 pages (https://worldscientific.com/doi/abs/10.1142/S0219498815501121)
  15. D.T. Hoang, N.C. Minh and T.N. Trung (2013), Combinatorial characterizations of the Cohen-Macaulayness of the second symbolic power of edge ideals, Journal of Combinatorial Theory Series A, No 120, Vol 5, pages 1073-1086 (https://www.sciencedirect.com/science/article/pii/S0097316513000435)
  16. N.C. Tu, D.T. Hoang (2013), On the degree of curves vanishing at fat points with equal multiplicities, Kyushu Journal of Mathematics, No 67, Vol 1, pages 17–27 (https://www.jstage.jst.go.jp/article/kyushujm/67/1/67_017/_pdf/-char/en)