The University of Michigan Combinatorics Seminar


Abstract 

We describe different realizations with integer coordinates for the associahedron (i.e., the Stasheff polytope) and for the cyclohedron (i.e., the BottTaubes polytope), and compare them to the permutahedra of type A and B, respectively. The coordinates are obtained by an algorithm which uses an oriented Coxeter graph of type A or B respectively as the only input and which specialises to a procedure presented by J.L. Loday for a certain orientation of the Coxeter graph of A_{n}. This is joint work with Carsten Lange. 