DCG
2010
13 years 5 months ago
2010
We express the matroid polytope PM of a matroid M as a signed Minkowski sum of simplices, and obtain a formula for the volume of PM . This gives a combinatorial expression for the...
DCG
2010
13 years 5 months ago
2010
We study discrete curvatures computed from nets of curvature lines on a given smooth surface and prove their uniform convergence to smooth principal curvatures. We provide explicit...
DCG
2010
13 years 5 months ago
2010
DCG
2010
13 years 5 months ago
2010
DCG
2010
13 years 5 months ago
2010
: This paper studies the convex hull of n random points in Rd. A recently-proved topological identity of the author is used in combination with identities of Efron and Buchta to fi...
DCG
2010
13 years 5 months ago
2010
Abstract. Recently a curvature theory for polyhedral surfaces has been established which associates with each face a mean curvature value computed from areas and mixed areas of tha...
DCG
2010
13 years 5 months ago
2010
We study the facial structure and Carath
DCG
2010
13 years 5 months ago
2010
Begin with a set of four points in the real plane in general position. Add to this collection the intersection of all lines through pairs of these points. Iterate. Ismailescu and ...
DCG
2010
13 years 5 months ago
2010
The angle defect, which is the standard way to measure the curvatures at the vertices of polyhedral surfaces, goes back at least as far as Descartes. Although the angle defect has ...
DCG
2010
13 years 5 months ago
2010
Consider a graph G with n vertices. In this paper we study geometric conditions for an n-tuple of points in Rd to admit a non-zero self stress with underlying graph G. We introduce...