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DCG
2006
63views more  DCG 2006»
13 years 4 months ago
Common Tangents to Spheres in R3
We prove that four spheres in R3 have infinitely many real common tangents if and only if they have aligned centers and at least one real common tangent.
Ciprian Borcea, Xavier Goaoc, Sylvain Lazard, Sylv...
DCG
2006
43views more  DCG 2006»
13 years 4 months ago
Small Triangle-Free Configurations of Points and Lines
Marko Boben, Branko Grunbaum, Tomaz Pisanski, Arja...
DCG
2006
96views more  DCG 2006»
13 years 4 months ago
k-Sets, Convex Quadrilaterals, and the Rectilinear Crossing Number of Kn
We use circular sequences to give an improved lower bound on the minimum number of ( k)
József Balogh, Gelasio Salazar
DCG
2006
82views more  DCG 2006»
13 years 4 months ago
Volume Computation for Polytopes and Partition Functions for Classical Root Systems
This paper presents an algorithm to compute the value of the inverse Laplace transforms of rational functions with poles on arrangements of hyperplanes. As an application, we prese...
M. Welleda Baldoni-Silva, Matthias Beck, Charles C...
DCG
2006
80views more  DCG 2006»
13 years 4 months ago
Lattice Points in Large Borel Sets and Successive Minima
Let B be a Borel set in Ed with volume V (B) = . It is shown that almost all lattices L in Ed contain infinitely many pairwise disjoint d-tuples, that is sets of d linearly indepen...
Iskander Aliev, Peter M. Gruber