Domino tilings of the expanded Aztec diamond

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3 Citations (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
Pages (from-to)1185-1191
Number of pages7
JournalDiscrete Mathematics
Volume341
Issue number4
DOIs
Publication statusPublished - 2018 Apr

Keywords

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

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

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