Steffen Oppermann ; Hugh Thomas - Triangulations of cyclic polytopes

dmtcs:3068 - Discrete Mathematics & Theoretical Computer Science, January 1, 2012, DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012) - https://doi.org/10.46298/dmtcs.3068
Triangulations of cyclic polytopesArticle

Authors: Steffen Oppermann 1; Hugh Thomas 2

  • 1 Institutt for Matematiske Fag [Trondheim]
  • 2 Department of Mathematics and Statistics

We give a new description of the combinatorics of triangulations of even-dimensional cyclic polytopes, and of their bistellar flips. We show that the tropical exchange relation governing the number of intersections between diagonals of a polygon and a lamination (which generalizes to arbitrary surfaces) can also be generalized in a different way, to the setting of higher dimensional cyclic polytopes.

https://doi.org/10.46298/dmtcs.3068
Source: HAL:hal-01283104v1
Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Imported on: January 31, 2017
Keywords: cluster algebra, tropical arithmetic,cyclic polytopes, triangulation, bistellar flip,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]
Funding:
    Source : OpenAIRE Graph
  • Funder: Natural Sciences and Engineering Research Council of Canada

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