Geodesic
Enumeration of tilings of quartered Aztec rectangles
Tri Lai1
1Institute for Mathematics and its Applications, University of Minnesota
The electronic journal of combinatorics, Tome 21 (2014) no. 4
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

We generalize a theorem of W. Jockusch and J. Propp on quartered Aztec diamonds by enumerating the tilings of quartered Aztec rectangles. We use subgraph replacement method to transform the dual graph of a quartered Aztec rectangle to the dual graph of a quartered lozenge hexagon, and then use Lindström-Gessel-Viennot methodology to find the number of tilings of a quartered lozenge hexagon.
DOI : 10.37236/4246
Classification : 05A15, 05B45, 05C30, 05C70, 05E99
Mots-clés : Aztec diamonds, domino tilings, perfect matchings, quartered Aztec diamonds

Tri Lai  1

1 Institute for Mathematics and its Applications, University of Minnesota 
@article{10_37236_4246,
     author = {Tri Lai},
     title = {Enumeration of tilings of quartered {Aztec} rectangles},
     journal = {The electronic journal of combinatorics},
     year = {2014},
     volume = {21},
     number = {4},
     doi = {10.37236/4246},
     zbl = {1305.05012},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/4246/}
}
TY  - JOUR
AU  - Tri Lai
TI  - Enumeration of tilings of quartered Aztec rectangles
JO  - The electronic journal of combinatorics
PY  - 2014
VL  - 21
IS  - 4
UR  - http://geodesic.mathdoc.fr/articles/10.37236/4246/
DO  - 10.37236/4246
ID  - 10_37236_4246
ER  - 
%0 Journal Article
%A Tri Lai
%T Enumeration of tilings of quartered Aztec rectangles
%J The electronic journal of combinatorics
%D 2014
%V 21
%N 4
%U http://geodesic.mathdoc.fr/articles/10.37236/4246/
%R 10.37236/4246
%F 10_37236_4246
Tri Lai. Enumeration of tilings of quartered Aztec rectangles. The electronic journal of combinatorics, Tome 21 (2014) no. 4. doi: 10.37236/4246

Cité par Sources :