2 papers
math.CO2025
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…
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 -minors. W…