Deformations of associahedra and visibility graphs
DOI:
https://doi.org/10.11575/cdm.v7i1.61906Abstract
Given an arbitrary simple polygon, we construct a polytopal complex analogous to the associahedron based on its convex diagonalizations. This polytopal complex is shown to be contractible, and a geometric realization is provided based on the theory of secondary polytopes. We then reformulate a combinatorial deformation theory in terms of visibility and presents some open problems.Downloads
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