arXiv Analytics

Sign in

arXiv:math/0412041 [math.CO]AbstractReferencesReviewsResources

A Simple Proof of the Aztec Diamond Theorem

Sen-Peng Eu, Tung-Shan Fu

Published 2004-12-02Version 1

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 in terms of Hankel determinants of the large and small Schr\"oder numbers.

Comments: 8 pages, 4 figures
Categories: math.CO
Subjects: 05A15
Related articles: Most relevant | Search more
arXiv:1410.5590 [math.CO] (Published 2014-10-21)
A new simple proof of the Aztec diamond theorem
arXiv:1605.09169 [math.CO] (Published 2016-05-30)
Enumeration of Domino Tilings of an Aztec Rectangle with boundary defects
arXiv:math/0104011 [math.CO] (Published 2001-04-01)
A reciprocity theorem for domino tilings

Links

Toolbox