Enumeration of tilings of quartered Aztec rectangles
Combinatorics
2014-04-16 v3
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\"{o}m-Gessel-Viennot methodology to find the number of tilings of a quartered lozenge hexagon.
Keywords
Cite
@article{arxiv.1403.4493,
title = {Enumeration of tilings of quartered Aztec rectangles},
author = {Tri Lai},
journal= {arXiv preprint arXiv:1403.4493},
year = {2014}
}
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28 pages