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arxiv: math/0412041 · v1 · submitted 2004-12-02 · 🧮 math.CO

A Simple Proof of the Aztec Diamond Theorem

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keywords aztecdiamondproofsimpletheorembijectiondeterminantsdomino
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Based on a bijection between domino tilings of an Aztec diamond and non-intersecting lattice paths, a simple proof of the Aztec diamond theorem is given in terms of Hankel determinants of the large and small Schr\"oder numbers.

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