3 papers
math.AC2025
Depth of powers of integrally closed edge ideals of edge-weighted paths
Jiaxin Li, Thanh Vu, Guangjun Zhu
We compute the depth of powers of edge ideals of integrally closed edge-weighted paths.
math.AC2025
Associated primes of the second power of closed neighborhood ideals of graphs
Ha Thi Thu Hien, Thanh Vu
We study simple graphs for which the maximal homogeneous ideal is an associated prime of the second power of their closed neighborhood ideals. In particular, we show that such grap…
math.AC2024
Cochordal zero divisor graphs and Betti numbers of their edge ideals
Le Xuan Dung, Thanh Vu
We associate a sequence of positive integers, termed the type sequence, with a cochordal graph. Using this type sequence, we compute all graded Betti numbers of its edge ideal. We…