Enumeration of hybrid domino-lozenge tilings II: Quasi-octagonal regions

Tri Lai

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We use the subgraph replacement method to prove a simple product formula for the tilings of an octagonal counterpart of Propp’s quasi-hexagons (Problem 16 in New Perspectives in Geometric Combinatorics, Cambridge University Press, 1999), called quasi-octagon.

Original languageEnglish (US)
Article numberP2.2
JournalElectronic Journal of Combinatorics
Volume23
Issue number2
DOIs
StatePublished - Apr 1 2016

Bibliographical note

Funding Information:
The author would like to thank the anonymous referee for his careful reading and helpful suggestions. This research was supported in part by the Institute for Mathematics and its Applications with funds provided by the National Science Foundation (grant no. DMS-0931945).

Publisher Copyright:
© 2016, Australian National University. All Rights Reserved.

Keywords

  • Aztec diamonds
  • Aztec rectangles
  • Dual graphs
  • Perfect matchings
  • Quasi-hexagons
  • Quasi-octagons
  • Tilings
  • Urban renewal

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