Abstract
We generalize a theorem of W. Jockusch and J. Propp on quartered Aztec diamonds by enumerating the tilings of quartered Aztec rectangles. We use subgraph replacement method to transform the dual graph of a quartered Aztec rectangle to the dual graph of a quartered lozenge hexagon, and then use Lindstr¨om-Gessel-Viennot methodology to find the number of tilings of a quartered lozenge hexagon.
| Original language | English (US) |
|---|---|
| Article number | P4.46 |
| Journal | Electronic Journal of Combinatorics |
| Volume | 21 |
| Issue number | 4 |
| DOIs | |
| State | Published - Nov 20 2014 |
Bibliographical note
Publisher Copyright:© 2014, Australian National University. All rights reserved.
Keywords
- Aztec diamonds
- Domino tilings
- Perfect matchings
- Quartered Aztec diamonds