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Domino tilings of the expanded Aztec diamond
- Authors
- Oh, Seungsang
- Issue Date
- 4월-2018
- Publisher
- ELSEVIER SCIENCE BV
- Keywords
- Aztec diamond; Domino tiling; Dimer covering; Perfect matching
- Citation
- DISCRETE MATHEMATICS, v.341, no.4, pp.1185 - 1191
- Indexed
- SCIE
SCOPUS
- Journal Title
- DISCRETE MATHEMATICS
- Volume
- 341
- Number
- 4
- Start Page
- 1185
- End Page
- 1191
- ISSN
- 0012-365X
- 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. (C) 2017 Elsevier B.V. All rights reserved.
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