Abstract
In their unpublished work, Jockusch and Propp showed that a 2-enumeration of antisymmetric monotone triangles is given by a simple product formula. On the other hand, the author proved that the same formula counts the domino tilings of the quartered Aztec rectangle. In this paper, we explain this phenomenon directly by building a correspondence between the antisymmetric monotone triangles and domino tilings of the quartered Aztec rectangle.
Original language | English (US) |
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Pages (from-to) | 1512-1518 |
Number of pages | 7 |
Journal | Discrete Mathematics |
Volume | 339 |
Issue number | 5 |
DOIs | |
State | Published - May 6 2016 |
Bibliographical note
Publisher Copyright:© 2016 Elsevier B.V. All rights reserved.
Keywords
- Aztec diamonds
- Aztec rectangles
- Domino tilings
- Monotone triangles