Cellular Structures determined by Polygons and Trees

Details Cellular Structures determined by Polygons and Trees Cellular Structures determined by Polygons and Trees

2000-08-17

arxiv.org/abs/math/0008145v1

Annals of Combinatorics 5 (2001) 71-98

Mathematics

Combinatorics

25 pages, 21 figures, LaTex

Scientific paper

The polytope structure of the associahedron is decomposed into two categories, types and classes. The classification of types is related to integer partitions, whereas the classes present a new combinatorial problem. We solve this and incorporate the results into properties of the real moduli space of Riemann spheres. Connections are discussed with relation to classic combinatorial problems as well as to other sciences.

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