paper

2-enumerations of halved alternating sign matrices

arXiv:math/0106038

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, AmS-LaTeX, uses TeXDraw

2-enumerations of halved alternating sign matrices · wovepaper