6 citations · 8 across the 6 of their papers we have counts for
8 papers
On the closed neighborhood ideal of the square of broom and double broom graphs
Anda Olteanu, Oana Olteanu
Classes of squarefree monomial ideals were intensively studied being an important connection between two main areas in mathematics: commutative algebra and combinatorics. Many alge…
On the closed neighborhood ideal of the square of the path graph
Anda Olteanu, Oana Olteanu
We consider the closed neighborhood ideal of square of the path graph and study some of its algebraic and homological invariants. We compute the height, the projective dimension an…
The monomial ideal of independent sets associated to a graph
Oana Olteanu
Independent sets play a key role into the study of graphs and important problems arising in graph theory reduce to them. We define the monomial ideal of independent sets associated…
Powers of edge ideals
Carmela Ferro, Mariella Murgia, Oana Olteanu
We compute the Betti numbers for all the powers of initial and final lexsegment edge ideals. For the powers of the edge ideal of an anti-path, we prove that they have linear qu…
Invariants of some classes of monomial ideals
Oana Olteanu
In this thesis we are interested in describing some homological invariants of certain classes of monomial ideals. We will pay attention to the squarefree and non-squarefree lexsegm…
Classes of sequentially Cohen-Macaulay squarefree monomial ideals
Oana Olteanu
We compute the minimal primary decomposition for completely squarefree lexsegment ideals. We show that critical squarefree monomial ideals are sequentially Cohen-Macaulay. As an ap…