Domino Shuffling on Novak Half-Hexagons and Aztec Half-Diamonds
We explore the connections between the well-studied Aztec Diamond graphs and a new family of graphs called the Half-Hexagons, discovered by Jonathan Novak. In particular, both families of graphs have very simple domino shuffling algorithms, which turn out to be intimately related. This connection al...
| Published in: | The Electronic Journal of Combinatorics |
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| Main Authors: | , |
| Format: | Article in Journal/Newspaper |
| Language: | English |
| Published: |
The Electronic Journal of Combinatorics
2011
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| Subjects: | |
| Online Access: | https://www.combinatorics.org/ojs/index.php/eljc/article/view/v18i1p181 https://doi.org/10.37236/668 |
| Summary: | We explore the connections between the well-studied Aztec Diamond graphs and a new family of graphs called the Half-Hexagons, discovered by Jonathan Novak. In particular, both families of graphs have very simple domino shuffling algorithms, which turn out to be intimately related. This connection allows us to prove an "arctic parabola" theorem for the Half-Hexagons as a corollary of the Arctic Circle theorem for the Aztec Diamond. |
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