Realizing Simion's Type B Associahedron as a Pulling Triangulation of the Legendre Polytope
Séminaire lotharingien de combinatoire, 78B (2017)
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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 (2n+2)-gon.
@article{SLC_2017_78B_a31,
author = {Richard Ehrenborg and G\'abor Hetyei and Margaret Readdy},
title = {Realizing {Simion's} {Type} {B} {Associahedron} as a {Pulling} {Triangulation} of the {Legendre} {Polytope}},
journal = {S\'eminaire lotharingien de combinatoire},
publisher = {mathdoc},
volume = {78B},
year = {2017},
url = {http://geodesic.mathdoc.fr/item/SLC_2017_78B_a31/}
}
TY - JOUR AU - Richard Ehrenborg AU - Gábor Hetyei AU - Margaret Readdy TI - Realizing Simion's Type B Associahedron as a Pulling Triangulation of the Legendre Polytope JO - Séminaire lotharingien de combinatoire PY - 2017 VL - 78B PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SLC_2017_78B_a31/ ID - SLC_2017_78B_a31 ER -
%0 Journal Article %A Richard Ehrenborg %A Gábor Hetyei %A Margaret Readdy %T Realizing Simion's Type B Associahedron as a Pulling Triangulation of the Legendre Polytope %J Séminaire lotharingien de combinatoire %D 2017 %V 78B %I mathdoc %U http://geodesic.mathdoc.fr/item/SLC_2017_78B_a31/ %F SLC_2017_78B_a31
Richard Ehrenborg; Gábor Hetyei; Margaret Readdy. Realizing Simion's Type B Associahedron as a Pulling Triangulation of the Legendre Polytope. Séminaire lotharingien de combinatoire, 78B (2017). http://geodesic.mathdoc.fr/item/SLC_2017_78B_a31/