4 papers
math.AC2026
V-numbers of symbolic powers of cover ideals of graphs
Thanh Vu
Let be a simple graph with cover ideal in a polynomial ring with variables. We prove that the local -number of the symbolic powers is linear…
math.AC2026
Projective dimension of powers of cover ideal of Ferrers graphs
Do Trong Hoang, Thanh Vu
Let be a partition with . Denote by the cover ideal in the polynomial ring \( S = k[x_1, \ldots, x_n, y_1, \ldots, y_m] \) associated to…
math.AC2026
Critical subgraphs and the regularity of symbolic powers of cover ideals of graphs
Nguyen Thu Hang, Thanh Vu
Let be a simple graph. We demonstrate a method for using -admissible subgraphs of to determine the regularity of the -th symbolic power of the cover ideal of . As…
math.AC2026
Associated primes of powers of closed neighborhood ideals and diameters of graphs
Ha Thi Thu Hien, Thanh Vu
Let be a simple connected graph and an integer. We prove that if the maximal homogeneous ideal is an associated prime of the th power of the closed neighborhood id…