Domino tilings of the expanded Aztec diamond

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

The expanded Aztec diamond is a generalized version of the Aztec diamond, with an arbitrary number of long columns and long rows in the middle. In this paper, we count the number of domino tilings of the expanded Aztec diamond. The exact number of domino tilings is given by recurrence relations of state matrices by virtue of the state matrix recursion algorithm, recently developed by the author to solve various two-dimensional regular lattice model enumeration problems.

Original languageEnglish
JournalDiscrete Mathematics
DOIs
Publication statusAccepted/In press - 2017 Jan 1

Keywords

  • Aztec diamond
  • Dimer covering
  • Domino tiling
  • Perfect matching

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

Fingerprint Dive into the research topics of 'Domino tilings of the expanded Aztec diamond'. Together they form a unique fingerprint.

  • Cite this