Enumeration of tilings of quartered aztec rectangles

Tri Lai

Research output: Contribution to journalArticlepeer-review

12 Scopus citations

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 languageEnglish (US)
Article numberP4.46
JournalElectronic Journal of Combinatorics
Volume21
Issue number4
DOIs
StatePublished - Nov 20 2014

Bibliographical note

Publisher Copyright:
© 2014, Australian National University. All rights reserved.

Keywords

  • Aztec diamonds
  • Domino tilings
  • Perfect matchings
  • Quartered Aztec diamonds

Fingerprint

Dive into the research topics of 'Enumeration of tilings of quartered aztec rectangles'. Together they form a unique fingerprint.

Cite this