Enumeration of domino tilings of an Aztec rectangle with boundary defects

被引：5
|
作者：
Saikia, Manjil P. [1 ]
机构：
[1] Univ Wien, Fak Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria
来源：
ADVANCES IN APPLIED MATHEMATICS | 2017年 / 89卷
基金：
奥地利科学基金会;
关键词：
Domino tilings; Aztec diamonds; Aztec rectangles; Kuo condensation; Graphical condensation; Pfaffians;
D O I：
10.1016/j.aam.2017.04.002
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C) 2017 Elsevier Inc. All rights reserved.
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页码：41 / 66
页数：26
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