28 citations · 29 across the 3 of their papers we have counts for
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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…
Diagonally and antidiagonally symmetric alternating sign matrices of odd order
Roger E. Behrend, Ilse Fischer, Matjaž Konvalinka
We study the enumeration of diagonally and antidiagonally symmetric alternating sign matrices (DASASMs) of fixed odd order by introducing a case of the six-vertex model whose confi…
Proof of two conjectures of Ciucu and Krattenthaler on the enumeration of lozenge tilings of hexagons with cut off corners
Mihai Ciucu, Ilse Fischer
In their 2002 paper, Ciucu and Krattenthaler proved several product formulas for the number of lozenge tilings of various regions obtained from a centrally symmetric hexagon on the…