%0 Journal Article
%T Enumeration of tilings of quartered Aztec rectangles
%A Tri Lai
%J Mathematics
%D 2014
%I arXiv
%X 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\"{o}m-Gessel-Viennot methodology to find the number of tilings of a quartered lozenge hexagon.
%U http://arxiv.org/abs/1403.4493v3