An edge of a triangulated manifold is said to be contractible if it may be contracted to a vertex without modifying the topological type of the underlying manifold. Otherwise, the edge is ...
What's the best way to test if a sphere is a polytope? (algorithms for the Simplicial Steinitz Problem)
The problem of recognizing whether a simplicial face lattice is polytopal is sometimes called the Steinitz problem. Sturmfels and Bokowski advanced a set of methods in the late 80s to test whether ...
A topologist came to me with this question, but everything I think should work doesn't. How many triangulations are there of a polyhedron with n vertices? By a "triangulation" of a polyhedron P we ...