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arXiv:2510.00226 (math)
[Submitted on 30 Sep 2025 ]

Title: On two-toned tilings and $(m,n)$-words

Title: 关于双色铺砌和$(m,n)$-words

Authors:Henri Mühle
Abstract: In this article, we describe an explicit bijection between the set of $(m,n)$-words as defined by Pilaud and Poliakova and the set of of two-toned tilings of a strip of length $m+n$.
Abstract: 在本文中,我们描述了Pilaud和Poliakova定义的$(m,n)$-词集合与长度为$m+n$的条带的双色铺砌集合之间的显式双射。
Comments: 5 pages, comments are very welcome
Subjects: Combinatorics (math.CO)
MSC classes: 05A19
Cite as: arXiv:2510.00226 [math.CO]
  (or arXiv:2510.00226v1 [math.CO] for this version)
  https://doi.org/10.48550/arXiv.2510.00226
arXiv-issued DOI via DataCite

Submission history

From: Henri Mühle [view email]
[v1] Tue, 30 Sep 2025 19:51:22 UTC (6 KB)
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