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math.CO2024
Determinant evaluations inspired by Di Francesco's determinant for twenty-vertex configurations
Christoph Koutschan, Christian Krattenthaler, Michael Schlosser
In his work on the twenty vertex model, Di Francesco [Electron. J. Combin. 28(4) (2021), Paper No. 4.38] found a determinant formula for the number of configurations in a specific…
math.CO2023★ 1 cited
Diagonally symmetric alternating sign matrices
Roger E. Behrend, Ilse Fischer, Christoph Koutschan
The enumeration of diagonally symmetric alternating sign matrices (DSASMs) is studied, and a Pfaffian formula is obtained for the number of DSASMs of any fixed size, where the entr…