2-Enumerations of Halved Alternating Sign Matrices

Theresia Eisenkölbl

Abstract

We compute 2-enumerations of certain halved alternating sign matrices. In one case the enumeration equals the number of perfect matchings of a halved Aztec diamond. In the other case the enumeration equals the number of perfect matchings of a halved fortress graph. Our results prove three conjectures by Jim Propp. (11 pages)

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