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pro vyhledávání: '"Hien, Truong Thi"'
Autor:
Hien, Truong Thi
Let $G_\omega$ be an edge-weighted graph whose underlying graph is $G$. In this paper, we enlarge the class of Cohen-Macaulay edge-weighted graphs $G_\omega$ by classifying completely them when the graph $G$ has girth $5$ or greater.
Externí odkaz:
http://arxiv.org/abs/2309.05056
Let $I$ be the edge ideal of a Cohen-Macaulay tree of dimension $d$ over a polynomial ring $S = \mathrm{k}[x_1,\ldots,x_{d},y_1,\ldots,y_d]$. We prove that for all $t \ge 1$, $$\operatorname{depth} (S/I^t) = \operatorname{max} \{d -t + 1, 1 \}.$$
Externí odkaz:
http://arxiv.org/abs/2309.05011
Publikováno v:
Journal of Applied Physics 133, 204402 (2023)
Quantum diamond magnetometers using lock-in detection have successfully detected weak bio-magnetic fields from neurons, a live mammalian muscle, and a live mouse heart. This opens up the possibility of quantum diamond magnetometers visualizing micros
Externí odkaz:
http://arxiv.org/abs/2301.05853
Let R = K[x1,...,xr] be a polynomial ring over a field K. Let G be a graph with vertex set {1,...,r} and let J be the cover ideal of G. We give a sharp bound for the stability index of symbolic depth function sdstab(J). In the case G is bipartite, it
Externí odkaz:
http://arxiv.org/abs/2210.09528
Autor:
Hien, Truong Thi, Trung, Tran Nam
We study the regularity of symbolic powers of square-free monomial ideals. We prove that if $I = I_\Delta$ is the Stanley-Reisner ideal of a simplicial complex $\Delta$, then $\reg(I^{(n)}) \leqslant \delta(n-1) +b$ for all $n\geqslant 1$, where $\de
Externí odkaz:
http://arxiv.org/abs/2108.06750
Akademický článek
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Let $I$ be a homogeneous ideal in a polynomial ring over a field. Let $I^{(n)}$ be the $n$-th symbolic power of $I$. Motivated by results about ordinary powers of $I$, we study the asymptotic behavior of the regularity function $\text{reg}~ (I^{(n)})
Externí odkaz:
http://arxiv.org/abs/1903.09026
Publikováno v:
In Materials Characterization October 2021 180
Autor:
Majumder, Sutripto, Quang, Nguyen Duc, Hien, Truong Thi, Chinh, Nguyen Duc, Hung, Nguyen Manh, Yang, Haneul, Kim, Chunjoong, Kim, Dojin
Publikováno v:
In Applied Surface Science 30 April 2021 546
Autor:
Hung, Nguyen Manh, Hieu, Nguyen Minh, Chinh, Nguyen Duc, Hien, Truong Thi, Quang, Nguyen Duc, Majumder, Sutripto, Choi, GyuSeok, Kim, Chunjoong *, Kim, Dojin *
Publikováno v:
In Sensors and Actuators: B. Chemical 15 June 2020 313