Oppermann, Steffen and Thomas, Hugh - 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)
Triangulations of cyclic polytopes

Authors: Oppermann, Steffen and Thomas, Hugh

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.


Volume: DMTCS Proceedings vol. AR, 24th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2012)
Section: Proceedings
Published on: January 1, 2012
Submitted on: January 31, 2017
Keywords: cluster algebra, tropical arithmetic,cyclic polytopes, triangulation, bistellar flip,[INFO.INFO-DM] Computer Science [cs]/Discrete Mathematics [cs.DM]


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