| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4665746 | Advances in Mathematics | 2014 | 30 Pages |
Abstract
It is proven here that the diameter of the d -dimensional associahedron is 2d−42d−4 when d is greater than 9. Two maximally distant vertices of this polytope are explicitly described as triangulations of a convex polygon, and their distance is obtained using combinatorial arguments. This settles two problems posed about twenty-five years ago by Daniel Sleator, Robert Tarjan, and William Thurston.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Lionel Pournin,