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arxiv: 1605.09169 · v1 · pith:253NHPRXnew · submitted 2016-05-30 · 🧮 math.CO

Enumeration of Domino Tilings of an Aztec Rectangle with boundary defects

classification 🧮 math.CO
keywords aztecboundarydefectsdominorectangletilingscaseenumeration
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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.

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