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DCG
2006
13 years 6 months ago
2006
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.
DCG
2006
13 years 6 months ago
2006
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...
DCG
2006
13 years 6 months ago
2006
The maximal area of a polygon with n = 2m edges and unit diameter is not known when m 5, nor is the maximal perimeter of a convex polygon with n = 2m edges and unit diameter known...
DCG
2006
13 years 6 months ago
2006
This paper sheds a new light on the split decomposition theory and T-theory from the viewpoint of convex analysis and polyhedral geometry. By regarding finite metrics as discrete ...
DCG
2006
13 years 6 months ago
2006
We introduce a new encoding of the face numbers of a simplicial complex, its Stirling polynomial, that has a simple expression obtained by multiplying each face number with an app...