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arXiv · math/9801067

Domino tilings with barriers

James Propp·Richard Stanley
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Abstract

In this paper, we continue the study of domino-tilings of Aztec diamonds. In particular, we look at certain ways of placing ``barriers'' in the Aztec diamond, with the constraint that no domino may cross a barrier. Remarkably, the number of constrained tilings is independent of the placement of the barriers. We do not know of a combinatorial explanation of this fact; our proof uses the Jacobi-Trudi identity.

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James Propp, Richard Stanley. 1999-06-21. Domino tilings with barriers. https://arxiv.org/abs/math/9801067

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