Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5775420 | Advances in Applied Mathematics | 2017 | 26 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Manjil P. Saikia,