A simple proof of the Aztec diamond theorem
The electronic journal of combinatorics, Tome 12 (2005)
Based on a bijection between domino tilings of an Aztec diamond and non-intersecting lattice paths, a simple proof of the Aztec diamond theorem is given by means of Hankel determinants of the large and small Schröder numbers.
DOI :
10.37236/1915
Classification :
05A15, 05B45, 05C50, 05C20
Mots-clés : domino tilings, Aztec diamond, lattice paths, Hankel determinants, Schröder numbers
Mots-clés : domino tilings, Aztec diamond, lattice paths, Hankel determinants, Schröder numbers
@article{10_37236_1915,
author = {Sen-Peng Eu and Tung-Shan Fu},
title = {A simple proof of the {Aztec} diamond theorem},
journal = {The electronic journal of combinatorics},
year = {2005},
volume = {12},
doi = {10.37236/1915},
zbl = {1060.05006},
url = {http://geodesic.mathdoc.fr/articles/10.37236/1915/}
}
Sen-Peng Eu; Tung-Shan Fu. A simple proof of the Aztec diamond theorem. The electronic journal of combinatorics, Tome 12 (2005). doi: 10.37236/1915
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