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arXiv · 2410.23324

Symmetric Domino Tilings of Aztec Diamonds

Pravakar Paul·Manjil P. Saikia
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Abstract

In this paper, we give inductive sum formulas to calculate the number of diagonally symmetric, and diagonally \& anti-diagonally symmetric domino tilings of Aztec Diamonds. As a byproduct, we also find such a formula for the unrestricted case as well. Our proofs rely on a new technique for counting the number of perfect matchings of graphs, proposed by the authors recently.

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Pravakar Paul, Manjil P. Saikia. 2024-10-30. Symmetric Domino Tilings of Aztec Diamonds. https://arxiv.org/abs/2410.23324

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