7 citations · 8 across the 29 of their papers we have counts for
10 papers · 1 filter
Associated primes and v-numbers of integral closures of powers of edge ideals
Trung Chau, Tai Huy Ha, Thanh Vu
Let be the edge ideal of a finite simple graph . We investigate the relationship between the associated primes and -numbers of powers and their integral clos…
Weak and strong Lefschetz properties for vertex cover Artinian algebras associated to graphs
Trung Chau, Tran Quang Hoa, Dang Thi Kieu Uyen
Let be a finite simple graph and let be the Artinian algebra associated with its cover ideal. We prove that has the WLP when , where den…
Comparing v-numbers of symbolic and ordinary powers of squarefree monomial ideals
Trung Chau, Tài Huy Hà, A. V. Jayanthan +1
Let be a squarefree monomial ideal, and let denote the maximum degree of a minimal generator of . We prove that \[ v(I^t)\le v(I^{(t)})+(t-1)(d-1) \] for all , wh…
Multiplicity of negative one of independence polynomials of graphs
Om Prakash Bhardwaj, Trung Chau, Sayeed Ikram +3
We initiate the study of the multiplicity of negative one of independence polynomials of graphs. In this article, we simply refer to this as the \emph{multiplicity} of a graph. As…
Golod ideals in combinatorial commutative algebra
Benjamin Briggs, Trung Chau, Alessandro De Stefani
In this article we study the Golod property of standard graded algebras. We show that determinantal ideals, binomial edge ideals, and permanental ideals are Golod if and only if th…
The v-numbers of permanental ideals
Trung Chau, A. V. Jayanthan
In this article, we compute the $\vv$-number of permanental ideals of generic, generic symmetric, and generic Hankel matrices.
On Legendrian Thurston-Bennequin-symmetrical graphs
Trung Chau, Tanushree Shah
This article reviews the development of Legendrian graph theory in the standard contact 3-sphere (). We provide a generalized criterion under which the total Thurston…
On licci squarefree monomial ideals
Om Prakash Bhardwaj, Trung Chau, Omkar Javadekar
We study the licci property for several classes of squarefree monomial ideals arising from graphs and related combinatorial structures. We characterize licci bi-Cohen-Macaulay squa…
Realizable (reg, deg h)-Pairs for Cover Ideals via Independence Polynomials
Jennifer Biermann, Trung Chau, Selvi Kara +4
Let be a finite simple graph on vertices and set , with edge ideal and cover ideal . We give an explicit description of the -polynom…
Symbolic powers and integral closures via extremal ideals
Trung Chau, Art Duval, Sara Faridi +3
This paper demonstrates that extremal ideals can be used to great effect to compute integral closures of powers and symbolic powers of square-free monomial ideals. We show that the…