Geodesic
Combinatorics of \((m, n)\)-word lattices
Henri Mühle1
1Qoniac GmbH
The electronic journal of combinatorics, Tome 31 (2024) no. 4

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Zbl DOI arXiv
We study the $(m,n)$-word lattices recently introduced by V. Pilaud and D. Poliakova in their study of generalized Hochschild polytopes. We prove that these lattices are extremal and constructable by interval doublings. Moreover, we describe further combinatorial properties of these lattices, such as their cardinality, their canonical join representations and their Galois graphs.
DOI : 10.37236/12906
Classification : 06D75, 05E99

Henri Mühle  1

1 Qoniac GmbH 
Henri Mühle. Combinatorics of \((m, n)\)-word lattices. The electronic journal of combinatorics, Tome 31 (2024) no. 4. doi: 10.37236/12906
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     author = {Henri M\"uhle},
     title = {Combinatorics of \((m, n)\)-word lattices},
     journal = {The electronic journal of combinatorics},
     year = {2024},
     volume = {31},
     number = {4},
     doi = {10.37236/12906},
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     url = {http://geodesic.mathdoc.fr/articles/10.37236/12906/}
}
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