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Enumeration of domino tilings of an Aztec rectangle with boundary defects

Saikia, Manjil 2017. Enumeration of domino tilings of an Aztec rectangle with boundary defects. Advances in Applied Mathematics 89 , pp. 41-66. 10.1016/j.aam.2017.04.002

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Abstract

In this paper we enumerate domino tilings of an Aztec rectangle with arbitrary defects of size one on all boundary sides. This result extends previous work by different authors: Mills–Robbins–Rumsey and Elkies–Kuperberg–Larsen–Propp. We use the method of graphical condensation developed by Kuo and generalized by Ciucu, to prove our results; a common generalization of both Kuo's and Ciucu's result is also presented here.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Publisher: Elsevier
ISSN: 0196-8858
Date of Acceptance: 5 April 2019
Last Modified: 12 Feb 2020 15:15
URI: http://orca.cf.ac.uk/id/eprint/126584

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