Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777344 | European Journal of Combinatorics | 2018 | 9 Pages |
Abstract
Consider 2n points on the unit circle and a reference dissection Dâ of the convex hull of the odd points. The accordion complex of Dâ is the simplicial complex of subsets of pairwise noncrossing diagonals with even endpoints that cross a connected set of diagonals of the dissection Dâ. In particular, this complex is an associahedron when Dâ is a triangulation, and a Stokes complex when Dâ is a quadrangulation. We exhibit a bijection between the facets of the accordion complex of Dâ and some dual objects called the serpent nests of Dâ. This confirms in particular a prediction of F. Chapoton (2016) in the case of Stokes complexes.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Thibault Manneville,