Francesco Navarra

collaborators

8 papers

math.AC2026

On the Linearity of Squarefree Powers of Edge Ideals

Francesco Navarra, Ayesha Asloob Qureshi, Naoki Terai

Let $G$ be a graph and $I (G)$ its edge ideal. The $p$ -th squarefree power $I (G)^{[p]}$ is the monomial ideal generated by squarefree monomials corresponding to the matchings of siz…

math.AC2026

An algebraic study of ideals of weak graph homomorphisms

Francesco Navarra, Ayesha Asloob Qureshi, Seyed Amin Seyed Fakhari

Let $G$ and $H$ 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 $I_{G \to H}$ .…

math.AC2026

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 $2$ -minor ideals are complete intersections. More precisely, given a collection…

math.AC2025

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 $2$ -minors, in terms of the so-called admissible sets and associated lattice…

math.CO2025

Palindromic switching rook polynomials and domino-stable collections of cells

Francesco Navarra, Ayesha Asloob Qureshi, Giancarlo Rinaldo

Let $P$ be a finite collection of cells. Two non-attacking rook configurations on $P$ are switching-equivalent if one can be obtained from the other by a sequen…

math.AC2025

Recent Advances in the Theory of Polyomino Ideals

Francesco Navarra, Ayesha Asloob Qureshi

Polyomino ideals, defined as the ideals generated by the inner $2$ -minors of a polyomino, are a class of binomial ideals whose algebraic properties are closely related to the combi…

math.AC2025

Switching rook polynomial of collections of cells

Francesco Navarra, Ayesha Asloob Qureshi, Giancarlo Rinaldo

We explore the novel connection between rook placements on collections of cells, also known as pruned chessboards, and the algebraic properties of ideals generated by $2$ -minors. W…

math.AC2025

$t$ -Young complexes and squarefree powers of $t$ -path ideals

Francesco Navarra, Ayesha Asloob Qureshi, Dharm Veer

We introduce a new class of simplicial complexes, called \emph{ $t$ -Young complexes}, arising from Young diagrams and a positive integer~ $t$ . We show that every $t$ -Young complex is…

On the Linearity of Squarefree Powers of Edge Ideals

An algebraic study of ideals of weak graph homomorphisms

The Complete Intersection property for binomial ideals of collections of cells

Minimal primes and radicality of ideals generated by adjacent 2-minors

Palindromic switching rook polynomials and domino-stable collections of cells

Recent Advances in the Theory of Polyomino Ideals

Switching rook polynomial of collections of cells

t-Young complexes and squarefree powers of t-path ideals

$t$ -Young complexes and squarefree powers of $t$ -path ideals