Tomack Gilmore - Enumerating some symmetry classes of rhombus tilings of holey hexagons

dmtcs:2473 - Discrete Mathematics & Theoretical Computer Science, January 1, 2015, DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015) - https://doi.org/10.46298/dmtcs.2473
Enumerating some symmetry classes of rhombus tilings of holey hexagonsConference paper

Authors: Tomack Gilmore 1

  • 1 Fakultät für Mathematik [Wien]

[en]
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).

[fr]
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).

https://doi.org/10.46298/dmtcs.2473
Source: HAL:hal-01337799v1
Volume: DMTCS Proceedings, 27th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2015)
Section: Proceedings
Published on: January 1, 2015
Imported on: November 21, 2016
Keywords: [INFO.INFO-DM]Computer Science [cs]/Discrete Mathematics [cs.DM], [en] Non-intersecting paths, holey hexagons, rhombus tilings, enumeration.
Licence: Attribution 4.0 International (CC BY 4.0)

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