Refined face count in uniform triangulations of the Legendre polytope

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Abstract

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.

Original languageEnglish
Article number#13
JournalSeminaire Lotharingien de Combinatoire
Issue number82
StatePublished - 2019

Bibliographical note

Publisher Copyright:
© 2019, Seminaire Lotharingien de Combinatoire.All Rights Reserved.

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics

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