Séminaire Lotharingien de Combinatoire, 78B.32 (2017), 12 pp.
Richard Ehrenborg, Gábor Hetyei and
Realizing Simion's Type B
Associahedron as a Pulling Triangulation of the Legendre Polytope
We show that Simion's type B associahedron is combinatorially
equivalent to a pulling triangulation of a type B root polytope
called the Legendre polytope. Furthermore, we show that every pulling
triangulation of the Legendre polytope yields a flag complex.
Our triangulation refines a decomposition of the Legendre polytope
given by Cho. We extend Cho's cyclic group action to the
triangulation in such a way that it corresponds to
rotating centrally symmetric triangulations of a regular
Received: November 14, 2016.
Accepted: February 17, 2017.
Final version: April 1, 2017.
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