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:	11 Mar 2023 02:26
URI:	https://orca.cardiff.ac.uk/id/eprint/126584

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