9 papers · 1 filter
On the Linearity of Squarefree Powers of Edge Ideals
Francesco Navarra, Ayesha Asloob Qureshi, Naoki Terai
Let be a graph and its edge ideal. The -th squarefree power is the monomial ideal generated by squarefree monomials corresponding to the matchings of siz…
An algebraic study of ideals of weak graph homomorphisms
Francesco Navarra, Ayesha Asloob Qureshi, Seyed Amin Seyed Fakhari
Let and be finite simple graphs and assume that either both are undirected or both are directed. We introduce and study the ideal of weak graph homomorphisms .…
The Complete Intersection property for binomial ideals of collections of cells
Rodica Dinu, Francesco Navarra
In this paper, we provide a combinatorial characterization of those collections of cells whose inner -minor ideals are complete intersections. More precisely, given a collection…
Minimal primes and radicality of ideals generated by adjacent 2-minors
Takayuki Hibi, Francesco Navarra, Ayesha Asloob Qureshi +1
In this paper, we provide a complete description of the minimal primes of ideals generated by adjacent -minors, in terms of the so-called admissible sets and associated lattice…
On squarefree powers of simplicial trees
Elshani Kamberi, Francesco Navarra, Ayesha Asloob Qureshi
In this article, we study the squarefree powers of facet ideals associated with simplicial trees. Specifically, we examine the linearity of their minimal free resolution and their…
Recent Advances in the Theory of Polyomino Ideals
Francesco Navarra, Ayesha Asloob Qureshi
Polyomino ideals, defined as the ideals generated by the inner -minors of a polyomino, are a class of binomial ideals whose algebraic properties are closely related to the combi…