3 papers
math.AC2024
A new iterative algorithm for comprehensive Grobner systems
Anna Maria Bigatti, Elisa Palezzato, Michele Torielli
A Comprehensive Grobner system for a parametric ideal I in K(A)[X] represents the collection of all Grobner bases of the ideals I' in K[X] obtained as the values of the parameters…
math.AG2023
Lefschetz properties and the Jacobian algebra of 3-dimensional hyperplane arrangements
Simone Marchesi, Elisa Palezzato, Michele Torielli
In this article, we study the weak and strong Lefschetz of higher dimensional quotients and dimension 1 almost complete intersections. We then apply the obtained results to the stu…
math.CO2023
Total outer-connected domination number of middle graphs
Farshad Kazemnejad, Behnaz Pahlavsay, Elisa Palezzato +1
In this paper, we study the total outer-connected domination number of the middle graph of a simple graph and we obtain tight bounds for this number in terms of the order of the mi…