Enumeration of tilings of quartered Aztec rectangles

Authors

Tri Lai, University of Minnesota Minneapolis,Follow

Date of this Version

11-27-2014

Citation

2014 Authors

Comments

the electronic journal of combinatorics 21(4) (2014), #P4.46

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.