Combinatorics of (m, n)-Word Lattices

被引：0

作者：

Muehle, Henri ^{[1
]}

机构：

[1] Qoniac GmbH, Dr Kuelz Ring 15, D-01067 Dresden, Germany

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2024年 / 31卷 / 04期

关键词：

MODEL;

D O I：

10.37236/12906

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：14

共 50 条

[1] A JOURNEY IN THE WORD OF COMBINATORICS
Kercheva, Rositsa
Ivanova, Rumyana
MATHEMATICS AND INFORMATICS, 2012, 55 (02): : 142 - 150
[2] Bubble Lattices II: Combinatorics
Mcconville, Thomas
Muehle, Henri
ANNALS OF COMBINATORICS, 2025,
[3] Combinatorics of interactions on plane lattices
Koshelev, V.N.
Stasevich, S.I.
Discrete Mathematics and Applications, 8 (04): : 391 - 402
[4] Combinatorics on partial word correlations
Blanchet-Sadri, F.
Fowler, Justin
Gafni, Joshua D.
Wilson, Kevin H.
JOURNAL OF COMBINATORIAL THEORY SERIES A, 2010, 117 (06) : 607 - 624
[5] Combinatorics on partial word borders
Allen, Emily
Blanchet-Sadri, F.
Bodnar, Michelle
Bowers, Brian
Hidakatsu, Joe
Lensmire, John
THEORETICAL COMPUTER SCIENCE, 2016, 609 : 469 - 493
[6] Combinatorics of character formulas for the lie superalgebra gl(m, n)
Musson, Ian M.
Serganova, Vera
TRANSFORMATION GROUPS, 2011, 16 (02) : 555 - 578
[7] Combinatorics at Nω
Sinapova, Dima
Unger, Spencer
ANNALS OF PURE AND APPLIED LOGIC, 2014, 165 (04) : 996 - 1007
[8] n-Derivations and (n,m)-Derivations of Lattices
Ceven, Yilmaz
MATHEMATICS, 2018, 6 (12):
[9] Analytic combinatorics of coordination numbers of cubic lattices
Liang, Huyile
Pei, Yanni
Wang, Yi
ADVANCES IN APPLIED MATHEMATICS, 2023, 147
[10] On Combinatorics of Voronoi Polytopes for Perturbations of the Dual Root Lattices
Garber, Alexey
EXPERIMENTAL MATHEMATICS, 2024, 33 (01) : 86 - 99

← 1 2 3 4 5 →