4 papers
Regular sequences of linear forms on monomial ideals
Louiza Fouli, Tài Huy Hà, Susan Morey
In this paper we establish a means of using the combinatorics associated to a general monomial ideal in a polynomial ring to find a regular sequence of linear forms on $R/I…
Vertex connectivity of chordal graphs
Tài Huy Hà, Takayuki Hibi
Let be a finite graph and the vertex connectivity of . A chordal graph is called chordal if no vertex of is adjacent to all other vertices of . Using t…
Gapfree graphs and powers of edge ideals with linear quotients
Nursel Erey, Sara Faridi, Tài Huy Hà +3
Let be the edge ideal of a gapfree graph . An open conjecture of Nevo and Peeva states that has linear resolution for . We present a promising approach t…
Resolution and Betti numbers of Vertex cover ideals
Tài Huy Hà, Takayuki Hibi
The vertex cover ideal of a finite graph is studied. We characterize when a Cohen--Macaulay vertex cover ideal has a Scarf minimal free resolution. Furthermore, b…