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