Counting Equivalence Classes of Vertex Pairs modulo the Dihedral Action on the Associahedron


This paper proves explicit formulae for the number of edges, 2-sets and diagonals in the associahedron of dimension n modulo the action of the dihedral group. A generating function for the number of k-sets modulo this action, as well as a formula for the cycle index, is given. A table of values is also provided. 


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