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DCG
2000
13 years 6 months ago
2000
This paper addresses three questions related to minimal triangulations of a 3-dimensional convex polytope P.
DCG
2000
13 years 6 months ago
2000
This paper examines directed graphs related to convex polytopes. For each fixed d-polytope and any acyclic orientation of its graph, we prove there exist both convex and concave fu...
DCG
2000
13 years 6 months ago
2000
We show how the flag f -vector of a polytope changes when cutting off any face, generalizing work of Lee for simple polytopes. The result is in terms of explicit linear operators o...
DCG
2000
13 years 6 months ago
2000
We consider rotations A, B of finite order in SO(3), about axes separated by an angle of restricted type, and attempt to classify the possible group relations between A and B. We s...
DCG
2006
13 years 6 months ago
2006
It is proved that a triangulation of a polyhedron can always be transformed into any other triangulation of the polyhedron using only elementary moves. One consequence is that an ...