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math.AC2019
Joins, Ears and Castelnuovo-Mumford regularity
Jorge Neves, Maria Vaz Pinto, Rafael H. Villarreal
We introduce a new class of polynomial ideals associated to a simple graph, . Let be the polynomial ring on the edges of and the polynomial ring on the ver…
math.AC2018
Regularity of the vanishing ideal over a bipartite nested ear decomposition
Jorge Neves
We study the Castelnuovo-Mumford regularity of the vanishing ideal over a bipartite graph endowed with a decomposition of its edge set. We prove that, under certain conditions, the…
math.AC2016
Regularity of the vanishing ideal over a parallel composition of paths
Antonio Macchia, Jorge Neves, Maria Vaz Pinto +1
Let G be a graph obtained by taking r>=2 paths and identifying all first vertices and identifying all the last vertices. We compute the Castelnuovo--Mumford regularity of the quoti…