Geodesic
A generalization of Aztec diamond theorem. I
Tri Lai1
1Indiana University
The electronic journal of combinatorics, Tome 21 (2014) no. 1
Cet article a éte moissonné depuis la source The Electronic Journal of Combinatorics website

Voir la notice de l'article

We consider a new family of 4-vertex regions with zigzag boundary on the square lattice with diagonals drawn in. By proving that the number of tilings of the new regions is given by a power 2, we generalize both Aztec diamond theorem and Douglas' theorem. The proof extends an idea of Eu and Fu for Aztec diamonds, by using a bijection between domino tilings and non-intersecting Schröder paths, then applying Lindström-Gessel-Viennot methodology.
DOI : 10.37236/3691
Classification : 05A15, 05B45, 05C50, 05C20, 05E99
Mots-clés : Aztec diamonds, dominos, tilings, perfect matchings, Schröder paths

Tri Lai  1

1 Indiana University 
@article{10_37236_3691,
     author = {Tri Lai},
     title = {A generalization of {Aztec} diamond theorem. {I}},
     journal = {The electronic journal of combinatorics},
     year = {2014},
     volume = {21},
     number = {1},
     doi = {10.37236/3691},
     zbl = {1300.05030},
     url = {http://geodesic.mathdoc.fr/articles/10.37236/3691/}
}
TY  - JOUR
AU  - Tri Lai
TI  - A generalization of Aztec diamond theorem. I
JO  - The electronic journal of combinatorics
PY  - 2014
VL  - 21
IS  - 1
UR  - http://geodesic.mathdoc.fr/articles/10.37236/3691/
DO  - 10.37236/3691
ID  - 10_37236_3691
ER  - 
%0 Journal Article
%A Tri Lai
%T A generalization of Aztec diamond theorem. I
%J The electronic journal of combinatorics
%D 2014
%V 21
%N 1
%U http://geodesic.mathdoc.fr/articles/10.37236/3691/
%R 10.37236/3691
%F 10_37236_3691
Tri Lai. A generalization of Aztec diamond theorem. I. The electronic journal of combinatorics, Tome 21 (2014) no. 1. doi: 10.37236/3691

Cité par Sources :