1 citations · 1 across the 4 of their papers we have counts for
10 papers
A new proof of the refined alternating sign matrix theorem
Ilse Fischer
In the early 1980s, Mills, Robbins and Rumsey conjectured, and in 1996 Zeilberger proved a simple product formula for the number of alternating sign matrices with a 1…
The number of monotone triangles with prescribed bottom row
Ilse Fischer
We show that the number of monotone triangles with prescribed bottom row (k_1,...,k_n) is given by a simple product formula which remarkably involves (shift) operators. Monotone tr…
Another refinement of the Bender-Knuth (ex-)Conjecture
Ilse Fischer
We compute the generating function of column-strict plane partitions with parts in {1,2,...,n}, at most c columns, p rows of odd length and k parts equal to n. This refines both, K…
A method for proving polynomial enumeration formulas
Ilse Fischer
We present an elementary method for proving enumeration formulas which are polynomials in certain parameters if others are fixed and factorize into distinct linear factors over Z.…
Even circuits of prescribed clockwise parity
Ilse Fischer, C. H. C. Little
We show that a graph has an orientation under which every circuit of even length is clockwise odd if and only if the graph contains no subgraph which is, after the contraction of a…
A symmetry theorem on a modified jeu de taquin
Ilse Fischer
For their bijective proof of the hook-length formula for the number of standard tableaux of a fixed shape Novelli, Pak and Stoyanovskii define a modified jeu de taquin which transf…