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Syntactic aspects of hypergraph polytopes
(Springer, 2019)
This paper introduces an inductively defined tree notation for allthe faces of polytopes arising from a simplex by truncations. This notation al-lows us to view inclusion of faces as the process of contracting tree edges. ...
A simple permutoassociahedron
(Elsevier B.V., 2019)
In the early 1990s, a family of combinatorial CW-complexes named permutoassociahedra was introduced by Kapranov, and it was realised by Reiner and Ziegler as a family of convex polytopes. The polytopes in this family are ...