Enumeration of Domino Tilings of an Aztec Rectangle with boundary defects
arXiv:1605.09169 · doi:10.1016/j.aam.2017.04.002
Abstract
Helfgott and Gessel gave the number of domino tilings of an Aztec Rectangle with defects of size one on the boundary of one side. In this paper we extend this to the case of domino tilings of an Aztec Rectangle with defects on all boundary sides.
20 pages, 20 figures