Tiling Parity Results and the Holey Square Solution
组合数学
2007-05-23 v2
摘要
We prove combinatorially that the parity of the number of domino tilings of a region is equal to the parity of the number of domino tilings of a particular subregion. Using this result we can resolve the holey square conjecture. We furthermore give combinatorial proofs of several other tiling parity results, including that the number of domino tilings of a particular family of rectangles is always odd.
关键词
引用
@article{arxiv.math/0409105,
title = {Tiling Parity Results and the Holey Square Solution},
author = {Bridget Eileen Tenner},
journal= {arXiv preprint arXiv:math/0409105},
year = {2007}
}
备注
12 pages. Generalized parity theorem and new corollaries