Much work has been done to count the number of domino tilings for Aztec diamonds and augmented Aztec diamonds. Augmented Aztec rectangles and their chains are generalizations of these shapes. In this paper, we use Delannoy paths to count the number of domino tilings for these rectangles and their chains.
@article{10_37236_8349,
author = {Hyunggi Kim and Sangyop Lee and Seungsang Oh},
title = {Domino tilings for augmented {Aztec} rectangles and their chains},
journal = {The electronic journal of combinatorics},
year = {2019},
volume = {26},
number = {3},
doi = {10.37236/8349},
zbl = {1416.05020},
url = {http://geodesic.mathdoc.fr/articles/10.37236/8349/}
}
TY - JOUR
AU - Hyunggi Kim
AU - Sangyop Lee
AU - Seungsang Oh
TI - Domino tilings for augmented Aztec rectangles and their chains
JO - The electronic journal of combinatorics
PY - 2019
VL - 26
IS - 3
UR - http://geodesic.mathdoc.fr/articles/10.37236/8349/
DO - 10.37236/8349
ID - 10_37236_8349
ER -
%0 Journal Article
%A Hyunggi Kim
%A Sangyop Lee
%A Seungsang Oh
%T Domino tilings for augmented Aztec rectangles and their chains
%J The electronic journal of combinatorics
%D 2019
%V 26
%N 3
%U http://geodesic.mathdoc.fr/articles/10.37236/8349/
%R 10.37236/8349
%F 10_37236_8349
Hyunggi Kim; Sangyop Lee; Seungsang Oh. Domino tilings for augmented Aztec rectangles and their chains. The electronic journal of combinatorics, Tome 26 (2019) no. 3. doi: 10.37236/8349