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COMBINATORICS
2000
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13 years 4 months ago
Large Dihedral Symmetry of the Set of Alternating Sign Matrices
We prove a conjecture of Cohn and Propp, which refines a conjecture of Bosley and Fidkowski about the symmetry of the set of alternating sign matrices (ASMs). We examine data aris...
Benjamin Wieland
ARSCOM
2008
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13 years 4 months ago
Proper Partitions of a Polygon and k-Catalan Numbers
Let P be a polygon whose vertices have been colored (labeled) cyclically with the numbers 1, 2, . . . , c. Motivated by conjectures of Propp, we are led to consider partitions of ...
Bruce E. Sagan