4 papers
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…
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 -minors. W…
-Young complexes and squarefree powers of -path ideals
Francesco Navarra, Ayesha Asloob Qureshi, Dharm Veer
We introduce a new class of simplicial complexes, called \emph{-Young complexes}, arising from a Young diagram and a positive integer~. We show that every -Young complex i…