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

2025/09/30 by Mühle, Henri
#05A19 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.2510.00226

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.

Citations

• Combinatorics of (m,n)-Word Lattices
• Hochschild polytopes
• Further Combinatorics and Applications of Two-Toned Tilings

Related

• Further Combinatorics and Applications of Two-Toned Tilings
• Combinatorics of (m,n)-Word Lattices
• Tilings by translation
• Two bijections for sets of words with forbidden factors
• On multiple translative tiling in the plane