4 papers
V-numbers of powers of cover ideals of unimodular hypergraphs
Nguyen Thu Hang, Thanh Vu
Let be a unimodular hypergraph with cover ideal . We prove that the local -numbers of are linear in for all . We further show that the global -n…
Ordered alternating paths and the depth of symbolic powers of cover ideals of graphs
Nguyen Thu Hang, Nguyen Thi Thanh Tam, Thanh Vu
Let be a simple graph with cover ideal in a polynomial ring in variables. For a matching of , we denote by the length of the longest -al…
Regularity of Powers and symbolic powers of edge ideals of cubic circulant graphs
Nguyen Thu Hang, My Hanh Pham, Thanh Vu
We compute the regularity of powers and symbolic powers of edge ideals of all cubic circulant graphs. In particular, we establish Conjecture of Minh for cubic circulant graphs.
Stability of depth functions of cover ideals of balanced hypergraphs
Nguyen Thu Hang
We prove that the depth functions of cover ideals of balanced hyper- gragh have the non-increasing property. Furthermore, we also give a bound for the index of depth stability of t…