11 papers
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…
On the rook polynomial of grid polyominoes
Rodica Dinu, Francesco Navarra
Grid polyominoes form a class of thin polyominoes with one or more holes arranged in a grid-like pattern in the plane. In this paper, we prove that the rook polynomial of grid poly…
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…
Switching Rook Polynomials of Collections of Cells: Palindromicity and Domino-Stability
Francesco Navarra, Ayesha Asloob Qureshi, Giancarlo Rinaldo
The rook polynomial is a generating function that enumerates the number of ways to place rooks, with no two in the same row or column, on a collection of cells regarded as a pruned…