Séminaire Lotharingien de Combinatoire, 84B.50 (2020), 12 pp.
Gábor Hetyei
The Dual of the Type B
Permutohedron as a Tchebyshev Triangulation
Abstract.
We show that the order complex of intervals of a poset, ordered by
inclusion, is a Tchebyshev triangulation of the order complex of the
original poset. Besides studying the properties of this transformation,
we show that the dual of the type B permutohedron is combinatorially
equivalent to the order complex of the poset of intervals of a Boolean
algebra (with the minimum and maximum elements removed).
Received: November 20, 2019.
Accepted: February 20, 2020.
Final version: April 30, 2020.
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