A generalization of Aztec diamond theorem, part I
Combinatorics
2014-04-07 v2
Abstract
We generalize Aztec diamond theorem (N. Elkies, G. Kuperberg, M. Larsen, and J. Propp, Alternating-sign matrices and domino tilings, Journal Algebraic Combinatoric, 1992) by showing that the numbers of tilings of a certain family of regions in the square lattice with southwest-to-northeast diagonals drawn in are given by powers of 2. We present a proof for the generalization by using a bijection between domino tilings and non-intersecting lattice paths.
Cite
@article{arxiv.1310.0851,
title = {A generalization of Aztec diamond theorem, part I},
author = {Tri Lai},
journal= {arXiv preprint arXiv:1310.0851},
year = {2014}
}
Comments
18 pages