Marius Vladoiu

activity

20062025

most citedMinimal Generating Sets of Lattice Ideals

9 citations · 18 across the 14 of their papers we have counts for

collaborators

Showing 2013 · math.ACShow all

4 papers · 2 filters

math.AC2013

Markov complexity of monomial curves

Hara Charalambous, Apostolos Thoma, Marius Vladoiu

Let $A = {a_{1}, \dots, a_{n}} \subset N^{m}$ . We give an algebraic characterization of the universal Markov basis of the toric ideal $I_{A}$ . We show…

math.AC2013

Monomial ideals with primary components given by powers of monomial prime ideals

Jürgen Herzog, Marius Vladoiu

We characterize monomial ideals which are intersections of monomial prime ideals and study classes of ideals with this property, among them polymatroidal ideals.

math.AC2013★ 1 cited

Markov bases and generalized Lawrence liftings

Hara Charalambous, Apostolos Thoma, Marius Vladoiu

Minimal Markov bases of configurations of integer vectors correspond to minimal binomial generating sets of the assocciated lattice ideal. We give necessary and sufficient conditio…

math.AC2013★ 9 cited

Minimal Generating Sets of Lattice Ideals

Hara Charalambous, Apostolos Thoma, Marius Vladoiu

Let $L \subset Z^{n}$ be a lattice and $I_{L} = ⟨ x^{u} - x^{v} : u - v \in L ⟩$ be the corresponding lattice ideal in $k [x_{1}, \dots, x_{n}]$ , where $…