5 citations · 5 across the 2 of their papers we have counts for
5 papers
Compatible Triangulations and Point Partitions by Series-Triangular Graphs
Jeff Danciger, Satyan L. Devadoss, Don Sheehy
We introduce series-triangular graph embeddings and show how to partition point sets with them. This result is then used to improve the upper bound on the number of Steiner points…
Coxeter Complexes and Graph-Associahedra
Michael Carr, Satyan L. Devadoss
Given a graph G, we construct a simple, convex polytope whose face poset is based on the connected subgraphs of G. This provides a natural generalization of the Stasheff associahed…
A space of cyclohedra
Satyan L. Devadoss
The real points of the Deligne-Knudsen-Mumford moduli space of marked points on the sphere has a natural tiling by associahedra. We extend this idea to create a moduli space tiled…
Cellular Structures determined by Polygons and Trees
Satyan L. Devadoss, Ronald C. Read
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…
Tessellations of Moduli Spaces and the Mosaic Operad
Satyan L. Devadoss
We construct a new (cyclic) operad of `mosaics' defined by polygons with marked diagonals. Its underlying (aspherical) spaces are the sets of real points of the moduli space of pun…