Symmetric Domino Tilings of Aztec Diamonds

Symmetric Domino Tilings of Aztec Diamonds

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 count...

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Veröffentlicht in:arXiv.org 2024-10
Hauptverfasser: Pravakar, Paul, Saikia, Manjil P
Format: Artikel
Sprache:eng
Schlagworte:
Diamonds
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Zusammenfassung: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.
ISSN:2331-8422