T. Tran

activity

20162026

most citedStability of Depth and Cohen-Macaulayness of Integral Closures of Powers of Monomial Ideals

10 citations · 10 across the 3 of their papers we have counts for

collaborators

Showing math.ACShow all

4 papers · 1 filter

math.AC2023

Cohen-Macaulay oriented graphs with large girth

Le Xuan Dung, Tran Nam Trung

We classify the Cohen-Macaulay weighted oriented graphs whose underlying graphs have girth at least $5$ .

math.AC2018

Regularity, matchings and Cameron-Walker graphs

Tran Nam Trung

Let $G$ be a simple graph and let $ν (G)$ be the matching number of $G$ . It is well-known that $\reg I(G) \leqslant ν(G)+1$. In this paper we show that $\reg I(G) = ν(G)+1$ if and o…

math.AC2017★ 10 cited

Stability of Depth and Cohen-Macaulayness of Integral Closures of Powers of Monomial Ideals

Le Tuan Hoa, Tran Nam Trung

Let $I$ be a monomial ideal $I$ in a polynomial ring $R = k [x_{1}, ..., x_{r}]$ . In this paper we give an upper bound on $\overline{\dstab} (I)$ in terms of $r$ and the maximal generatin…

math.AC2016

A Characterization of Gorenstein Planar graphs

Tran Nam Trung

We prove that a planar graph is Gorenstein if and only if its independence complex is Eulerian.