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  1. Home > Articles & Issues >
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  3. Enumerating some sym ...
Conference paper

Enumerating some symmetry classes of rhombus tilings of holey hexagons

Tomack Gilmore (1)
(1) Fakultät für Mathematik [Wien]
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Imported on
November 21, 2016
Published on
December 31, 2014
Last modified on
March 31, 2025
Volume
DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Proceedings
DOI
10.46298/dmtcs.2473
License
Attribution 4.0 International (CC BY 4.0)
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Enumerating some symmetry classes of rhombus tilings of holey hexagons

Tomack Gilmore (1)
(1) Fakultät für Mathematik [Wien]
Abstract
English
This extended abstract presents some recent (exact and asymptotic) enumerative results concerning rhombustilings of hexagons that have had symmetrically distributed inward pointing triangles of side length 2 removedfrom their interiors. These results form part of a larger article that is currently available online (arXiv:1501.05772).
French
Ce résumé détaillé présente quelques résultats énumératifs récents (exacts et asymptotiques) sur les pavagespar losanges d’hexagones dont on a enlevé des triangles de côté 2 placés symétriquement et pointant vers l’intérieur.Ces résultats sont extraits d’un article plus développé disponible actuellement en ligne (arXiv:1501.05772).
Keywords
  • [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM]
  • Non-intersecting paths
  • holey hexagons
  • rhombus tilings
  • enumeration.
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