Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5777061 | Electronic Notes in Discrete Mathematics | 2017 | 7 Pages |
Abstract
Stokes complexes consist of sets of mutually noncrossing diagonals of a convex polygon, that are in some sense compatible with a reference quadrangulation. Originally defined by Y. Baryshnikov (2001), they were recently revisited by F. Chapoton (2016) who proposed several conjectures. We settle two of these conjectures and study geometric realizations of Stokes complexes using compatibility vectors.
Related Topics
Physical Sciences and Engineering
Mathematics
Discrete Mathematics and Combinatorics
Authors
Amir-Hossein Bateni, Thibault Manneville, Vincent Pilaud,