75 citations · 161 across the 22 of their papers we have counts for
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math.QA2008★ 28 cited
Marked tubes and the graph multiplihedron
Satyan L. Devadoss, Stefan Forcey
Given a graph G, we construct a convex polytope whose face poset is based on marked subgraphs of G. Dubbed the graph multiplihedron, we provide a realization using integer coordina…
math.QA2004★ 5 cited
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…
math.QA2001★ 1 cited
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…