The Legendre polytope is the convex hull of all pairwise differences of the basis vectors, also known as the full root polytope of type A. We describe all flag triangulations of this polytope that are uniform in the sense that the edges may be described as a function of the relative order of the indices of the four basis vectors involved. We also determine the refined face counts of these triangulations that keeps track of the number of forward and backward arrows in each face.
|State||Published - 2019|
|Event||31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 - Ljubljana, Slovenia|
Duration: Jul 1 2019 → Jul 5 2019
|Conference||31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019|
|Period||7/1/19 → 7/5/19|
Bibliographical noteFunding Information:
∗firstname.lastname@example.org. Richard Ehrenborg was partially supported by Grant #429370 of the Simons Foundation. †email@example.com Gábor Hetyei was partially supported by Grant #514648 of the Simons Foundation. ‡firstname.lastname@example.org. Margaret Readdy was partially supported by Grant #422467 of the Simons Foundation. A full length version of this manuscript may be found at https://math.uncc.edu/sites/math.uncc. edu/files/fields/preprint_archive/paper/2018_09.pdf
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ASJC Scopus subject areas
- Algebra and Number Theory