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

Fingerprint

Domino Tilings
Strombus or kite or diamond
Diamonds
Recurrence relation
Lattice Model
Recursion
Enumeration
Count
Arbitrary

Keywords

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

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Discrete Mathematics and Combinatorics

Cite this

Domino tilings of the expanded Aztec diamond. / Oh, Seung Sang.

In: Discrete Mathematics, 01.01.2017.

Research output: Contribution to journalArticle

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