Jorge Neves

activity

20202024

collaborators

3 papers

math.AC2024

On the minimal generating sets of the Eulerian ideal

Jorge Neves, Gonçalo Varejão

We study the minimal homogeneous generating sets of the Eulerian ideal associated with a simple graph and its maximal generating degree. We show that the Eulerian ideal is a lattic…

math.AC2022

Degree and regularity of Eulerian ideals of hypergraphs

J. Neves, G. Varejão

We define the Eulerian ideal of a $k$ -uniform hypergraph and study its degree and Castelnuovo--Mumford regularity. The main tool is a Gröbner basis of the ideal obtained combinator…

math.CO2020

Eulerian ideals

Jorge Neves

Let $G$ be a simple graph and $I (X_{G}) = φ^{- 1} (x_{i}^{2} - x_{j}^{2} : i, j \in V_{G})$ , where $φ : K [E_{G}] \to K [V_{G}]$ is the homomorphism that sends an edge to the product of its vertices. The…